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

Time bar (total: 11.5s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.4s (12.4%)

Memory
37.2MiB live, 1 691.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 721.0ms
ival-cos: 277.0ms (38.4% of total)
ival-sin: 204.0ms (28.3% of total)
ival-mult: 147.0ms (20.4% of total)
ival-add: 84.0ms (11.7% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess46.0ms (0.4%)

Memory
-5.7MiB live, 32.7MiB 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)))

explain158.0ms (1.4%)

Memory
-22.4MiB live, 222.0MiB 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
55.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 17.0ms (44.1% of total)
ival-cos: 10.0ms (25.9% of total)
ival-mult: 6.0ms (15.6% of total)
ival-add: 4.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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)

simplify4.0ms (0%)

Memory
7.4MiB live, 7.4MiB 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)

localize34.0ms (0.3%)

Memory
13.0MiB live, 91.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39.8% of total)
ival-cos: 5.0ms (33.2% of total)
ival-mult: 3.0ms (19.9% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (* z (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))>
Calls

24 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)))

rewrite579.0ms (5%)

Memory
-11.5MiB live, 589.9MiB 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
0819
12419
218019
3185319
0821318
Stop Event
1×iter limit
1×node limit
Counts
4 → 175
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(sin y)
(* z (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))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (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 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (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) (neg.f64 (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) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
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(*.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)))) (neg.f64 (*.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)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (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 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(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 (cos.f64 y) (neg.f64 z)))
(*.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))))

simplify432.0ms (3.8%)

Memory
5.7MiB live, 562.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 960×accelerator-lowering-fma.f32
14 960×accelerator-lowering-fma.f64
4 098×*-lowering-*.f32
4 098×*-lowering-*.f64
2 688×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096626
1316622
2937612
32505606
44416606
57325606
08407556
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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))
Outputs
(* 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)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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 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)))
(* 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)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 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 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 x (*.f64 #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 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 x (*.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)) 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z y) (*.f64 y (fma.f64 y (*.f64 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) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))

eval38.0ms (0.3%)

Memory
10.8MiB live, 85.8MiB allocated
Compiler

Compiled 9 842 to 549 computations (94.4% saved)

prune69.0ms (0.6%)

Memory
0.1MiB live, 80.8MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New25417271
Fresh000
Picked101
Done000
Total25517272
Accuracy
99.9%
Counts
272 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.8%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
45.4%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
53.3%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
53.1%
(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)
54.3%
(fma.f64 y x z)
51.8%
(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)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
36.6%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
17.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (-.f64 (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))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
56.5%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
36.6%
(*.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))))))))
62.5%
(*.f64 z (cos.f64 y))
▶39.7%
(*.f64 x (sin.f64 y))
▶43.0%
z
Compiler

Compiled 846 to 414 computations (51.1% saved)

simplify331.0ms (2.9%)

Memory
-11.9MiB live, 579.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff14400
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Rules
13 146×accelerator-lowering-fma.f32
13 146×accelerator-lowering-fma.f64
3 954×*-lowering-*.f32
3 954×*-lowering-*.f64
1 384×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026230
166229
2153229
3493229
41784227
54259217
08047209
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))
x
(sin y)
y
(+ (* (sin y) x) (* z (cos y)))
(sin y)
y
x
(* z (cos y))
z
(cos y)
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(* x (- 1/2 (* 1/2 (cos (+ y y)))))
x
(- 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(/ x (- (* x (sin y)) (* z (cos y))))
(- (* x (sin y)) (* z (cos y)))
(* x (sin y))
(sin y)
(* z (cos y))
z
(cos y)
(neg (* (+ 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)))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(* z z)
Outputs
(+ (* (cos y) z) (* x (sin y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(cos y)
(cos.f64 y)
y
z
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
z
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(+ (* (sin y) x) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(sin y)
(sin.f64 y)
y
x
(* z (cos y))
(*.f64 (cos.f64 y) z)
z
(cos y)
(cos.f64 y)
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y y))))))
(* x (- 1/2 (* 1/2 (cos (+ y y)))))
(*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
x
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(/ x (- (* x (sin y)) (* z (cos y))))
(/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(- (* x (sin y)) (* z (cos y)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 x (sin.f64 y))
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
z
(cos y)
(cos.f64 y)
(neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))))
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))
(*.f64 (*.f64 z z) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(* z z)
(*.f64 z z)

localize394.0ms (3.4%)

Memory
-26.8MiB live, 354.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy98.0%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓accuracy92.7%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy77.7%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy62.3%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
Samples
245.0ms79×1valid
67.0ms125×0valid
31.0ms49×2valid
4.0ms3×3valid
Compiler

Compiled 230 to 28 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 319.0ms
ival-div: 184.0ms (57.6% of total)
ival-mult: 45.0ms (14.1% of total)
ival-cos: 34.0ms (10.7% of total)
ival-add: 21.0ms (6.6% of total)
ival-sin: 20.0ms (6.3% of total)
adjust: 9.0ms (2.8% of total)
ival-sub: 4.0ms (1.3% of total)
ival-neg: 2.0ms (0.6% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
6.4MiB live, 83.7MiB allocated
Counts
12 → 300
Calls
Call 1
Inputs
#<alt (+ (* (cos y) z) (* x (sin y)))>
#<alt (cos y)>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (+ (* (sin y) x) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (neg (* (+ 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 (* x (- 1/2 (* 1/2 (cos (+ y 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 (* 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>
#<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 (* 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))>
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#<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)))))))>
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#<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 (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
Calls

75 calls:

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

rewrite902.0ms (7.8%)

Memory
41.9MiB live, 1 344.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 704×/-lowering-/.f32
5 704×/-lowering-/.f64
4 894×*-lowering-*.f32
4 894×*-lowering-*.f64
3 728×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026101
116383
2130783
0834580
Stop Event
1×iter limit
1×node limit
Counts
12 → 1 881
Calls
Call 1
Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
(* x (sin y))
(sin y)
(+ (* (sin y) x) (* z (cos y)))
(* z (cos y))
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(- 1/2 (* 1/2 (cos (+ y y))))
(neg (* (+ 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))))
(* x (- 1/2 (* 1/2 (cos (+ y y)))))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(+.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 x (/.f64 (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
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(*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) (/.f64 z (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 z (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 z (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))))) (/.f64 z (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (cos.f64 y)) (/.f64 x (cos.f64 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (cos.f64 y)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (cos.f64 y)))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

simplify487.0ms (4.2%)

Memory
3.0MiB live, 859.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 192×accelerator-lowering-fma.f32
9 192×accelerator-lowering-fma.f64
7 000×*-lowering-*.f32
7 000×*-lowering-*.f64
4 054×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07676396
127926175
081905872
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
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)
(* 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
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
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(* -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))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(/ (pow z 2) (* x (sin y)))
(* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))
(* (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)))))
(* (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)))))
(* -1 (/ z (cos y)))
(* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))
(* 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))))))
(* 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)))))))
(* -1 (/ z (cos y)))
(* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))
(* -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)))))
(* -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)))))
(* -1 (/ z (cos y)))
(+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))
(+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))
(+ (* -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)))))
(/ (pow z 2) (* x (sin y)))
(/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)
(/ (- (+ (/ (* (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)
(/ (- (+ (/ (* (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)
(/ (pow z 2) (* x (sin y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))
(* -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))
(* -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))
(* -1 z)
(+ (* -1 z) (* -1 (* x y)))
(+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* -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)))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #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 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 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 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)))
(* 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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)
(* 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 #s(literal -1/6 binary64) (*.f64 x (*.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 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 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 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #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 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 x))
(* 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 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)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 y 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 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (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 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 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))))
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z
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(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/315 binary64) (*.f64 x #s(literal 2/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))

eval664.0ms (5.8%)

Memory
-144.9MiB live, 836.8MiB allocated
Compiler

Compiled 163 326 to 3 282 computations (98% saved)

prune188.0ms (1.6%)

Memory
33.6MiB live, 506.1MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New2 381212 402
Fresh6612
Picked145
Done000
Total2 388312 419
Accuracy
100.0%
Counts
2 419 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
36.7%
(fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 y) z) z) #s(literal -1 binary64)) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
57.8%
(fma.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶67.8%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
51.5%
(fma.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
79.6%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
53.3%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
38.0%
(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)
54.3%
(fma.f64 y x z)
48.5%
(fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
51.8%
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
36.6%
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
62.2%
(/.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))
28.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
▶56.5%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
90.0%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
62.2%
(*.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))))
62.5%
(*.f64 z (cos.f64 y))
▶14.8%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
14.7%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
14.6%
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
14.9%
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
86.5%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
14.6%
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
✓39.7%
(*.f64 x (sin.f64 y))
▶15.1%
(*.f64 x y)
✓43.0%
z
Compiler

Compiled 1 277 to 708 computations (44.6% saved)

simplify490.0ms (4.3%)

Memory
-28.5MiB live, 427.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
✓cost-diff0
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓cost-diff0
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff0
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x)
✓cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
✓cost-diff320
(fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64)))
✓cost-diff0
(*.f64 x 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)))))
Rules
10 978×accelerator-lowering-fma.f32
10 978×accelerator-lowering-fma.f64
4 332×*-lowering-*.f32
4 332×*-lowering-*.f64
2 068×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044303
1119297
2334297
3984295
42386295
54278295
66612295
08090271
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 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 y)
x
y
(* y (+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x))
y
(+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x)
(* y y)
(+ (* x -1/6) (* (* x (* y y)) 1/120))
x
-1/6
(* (* x (* y y)) 1/120)
(* x (* y y))
1/120
(+ (* x (sin y)) (+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z))
(* x (sin y))
x
(sin y)
y
(+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z)
(* y y)
(* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))
z
(+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2)
(+ (* y (* y -1/720)) 1/24)
(* y -1/720)
-1/720
1/24
-1/2
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) z)
(* x (- 1/2 (* 1/2 (cos (+ y y)))))
x
(- 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(/ x (- (* x (sin y)) (* z (cos y))))
(- (* x (sin y)) (* z (cos y)))
(* x (sin y))
(sin y)
(* z (cos y))
z
(cos y)
Outputs
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(+ (* z (cos y)) (* x (sin y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(cos y)
(cos.f64 y)
y
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
(* x y)
(*.f64 y x)
x
y
(* y (+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x))
y
(+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(* y y)
(*.f64 y y)
(+ (* x -1/6) (* (* x (* y y)) 1/120))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
x
-1/6
#s(literal -1/6 binary64)
(* (* x (* y y)) 1/120)
(*.f64 x (*.f64 y (*.f64 y #s(literal 1/120 binary64))))
(* x (* y y))
(*.f64 y (*.f64 y x))
1/120
#s(literal 1/120 binary64)
(+ (* x (sin y)) (+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) (fma.f64 x (sin.f64 y) z))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z)
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
(* y y)
(*.f64 y y)
(* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
z
(+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(+ (* y (* y -1/720)) 1/24)
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* y -1/720)
(*.f64 y #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) z)
(fma.f64 x (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) z)
(* x (- 1/2 (* 1/2 (cos (+ y y)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
x
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(/ x (- (* x (sin y)) (* z (cos y))))
(/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(- (* x (sin y)) (* z (cos y)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)

localize354.0ms (3.1%)

Memory
5.3MiB live, 359.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy98.0%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
✓accuracy92.7%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy77.7%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy99.9%
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.6%
(*.f64 y #s(literal -1/720 binary64))
✓accuracy97.8%
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x)
✓accuracy99.8%
(*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))
✓accuracy99.7%
(fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64)))
✓accuracy87.9%
(*.f64 x (*.f64 y y))
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.9%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
Samples
116.0ms79×1valid
71.0ms125×0valid
67.0ms49×2valid
4.0ms3×3valid
Compiler

Compiled 289 to 46 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-mult: 50.0ms (26.6% of total)
ival-cos: 44.0ms (23.4% of total)
ival-add: 38.0ms (20.2% of total)
ival-sin: 16.0ms (8.5% of total)
const: 15.0ms (8% of total)
adjust: 13.0ms (6.9% of total)
ival-div: 8.0ms (4.3% of total)
ival-sub: 4.0ms (2.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.7%)

Memory
-1.0MiB live, 75.6MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#<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 (cos y)>
#<alt (* x y)>
#<alt (+ (* x -1/6) (* (* x (* y y)) 1/120))>
#<alt (* y (+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x))>
#<alt (+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x)>
#<alt (* y y)>
#<alt (+ (* x (sin y)) (+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z))>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z)>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) z)>
#<alt (* x (- 1/2 (* 1/2 (cos (+ y y)))))>
#<alt (* 1/2 (cos (+ y y)))>
#<alt (* x (* y y))>
#<alt (* (* x (* y y)) 1/120)>
#<alt (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))>
#<alt (* y -1/720)>
#<alt (+ (* y (* y -1/720)) 1/24)>
Outputs
#<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 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 (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<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) (* 1/120 (* x (pow y 2)))))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (+ z (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ z (+ (* x (sin y)) (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ z (+ (* x (sin y)) (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ z (+ (* x (sin y)) (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (+ (/ z x) (/ (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x))))>
#<alt (* x (+ (sin y) (+ (/ z x) (/ (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x))))>
#<alt (* x (+ (sin y) (+ (/ z x) (/ (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x))))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) 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 (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (+ (/ z (pow y 6)) (/ (* x (sin y)) (pow y 6)))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (+ (/ z (pow y 6)) (/ (* x (sin y)) (pow y 6)))))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))>
#<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>
#<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 (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt z>
#<alt (+ z (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))))>
#<alt (+ z (* (pow x 2) (+ (* -1 (/ (* x (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))))))>
#<alt (+ z (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* x (- (* -1 (/ (* x (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 3)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))))))>
#<alt (* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ z x))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ z x)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3))))))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ z x))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow x 3) (pow (sin y) 4)))))))))>
#<alt (* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ z (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt z>
#<alt (+ z (* -1 (/ (* (pow x 2) (pow y 2)) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* 1/3 (/ (pow x 2) z)) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (* z (- 1 (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (+ 1 (/ (* z (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3)))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (+ 1 (* z (- (/ (* z (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))))))>
#<alt (* z (+ 1 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* -1 (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))))))>
#<alt (* z (- (+ 1 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 4) (pow (cos y) 3)))))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))))>
#<alt z>
#<alt (* -1 (* z (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))) 1)))>
#<alt (* -1 (* z (- (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (pow z 3))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) 1)))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (neg (* -2 y))))>
#<alt (* 1/2 (cos (neg (* -2 y))))>
#<alt (* 1/2 (cos (neg (* -2 y))))>
#<alt (* 1/2 (cos (neg (* -2 y))))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
Calls

126 calls:

TimeVariablePointExpression
25.0ms
y
@0
(* (* x (* y y)) 1/120)
21.0ms
x
@inf
(* y (+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x))
2.0ms
z
@inf
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) z)
1.0ms
x
@0
(+ (* x -1/6) (* (* x (* y y)) 1/120))
1.0ms
x
@inf
(+ (* x -1/6) (* (* x (* y y)) 1/120))

rewrite613.0ms (5.3%)

Memory
-15.8MiB live, 595.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 924×accelerator-lowering-fma.f32
5 924×accelerator-lowering-fma.f64
5 108×*-lowering-*.f32
5 108×*-lowering-*.f64
4 102×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044222
1269202
22299202
08970184
Stop Event
1×iter limit
1×node limit
Counts
22 → 600
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(+ (* z (cos y)) (* x (sin y)))
(cos y)
(* x y)
(+ (* x -1/6) (* (* x (* y y)) 1/120))
(* y (+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x))
(+ (* (* y y) (+ (* x -1/6) (* (* x (* y y)) 1/120))) x)
(* y y)
(+ (* x (sin y)) (+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z))
(* x (sin y))
(sin y)
(+ (* (* y y) (* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))) z)
(- 1/2 (* 1/2 (cos (+ y y))))
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) z)
(* x (- 1/2 (* 1/2 (cos (+ y y)))))
(* 1/2 (cos (+ y y)))
(* x (* y y))
(* (* x (* y y)) 1/120)
(* z (+ (* (+ (* y (* y -1/720)) 1/24) (* y y)) -1/2))
(* y -1/720)
(+ (* y (* y -1/720)) 1/24)
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
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simplify418.0ms (3.6%)

Memory
13.0MiB live, 798.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 286×accelerator-lowering-fma.f32
8 286×accelerator-lowering-fma.f64
7 442×*-lowering-*.f32
7 442×*-lowering-*.f64
2 772×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06476954
121936780
081356262
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* 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)))
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z
(+ z (* x y))
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(/ 1 (* x (sin y)))
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(/ 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)
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(/ 1 (* z (cos y)))
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(/ (- (+ (/ 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)
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(* x (sin y))
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z
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(* x (sin y))
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1
(+ 1 (* -1/2 (pow y 2)))
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(cos y)
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(* x y)
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x
(+ x (* -1/6 (* x (pow y 2))))
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(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
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z
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y
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z
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(* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
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(* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ z x)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3))))))))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ z x))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow x 3) (pow (sin y) 4)))))))))
(* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* -1 (* x (- (* -1 (/ (- (+ z (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
z
(+ z (* -1 (/ (* (pow x 2) (pow y 2)) z)))
(+ z (* (pow y 2) (+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z)))))
(+ z (* (pow y 2) (+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* 1/3 (/ (pow x 2) z)) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(+ z (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (* z (- 1 (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (+ 1 (/ (* z (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3)))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (+ 1 (* z (- (/ (* z (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
z
(* z (+ 1 (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))))))
(* z (+ 1 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* -1 (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))))))
(* z (- (+ 1 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 4) (pow (cos y) 3)))))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))))
z
(* -1 (* z (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))) 1)))
(* -1 (* z (- (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))) 1)))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (pow z 3))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) 1)))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
1/2
(+ 1/2 (* -1 (pow y 2)))
(+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (neg (* -2 y))))
(* 1/2 (cos (neg (* -2 y))))
(* 1/2 (cos (neg (* -2 y))))
(* 1/2 (cos (neg (* -2 y))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(* -1/720 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* -1/720 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 z))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #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 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* 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) (/ (* 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)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(/ 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))))
(fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 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))))
(fma.f64 z (fma.f64 z (/.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 (cos.f64 y) (*.f64 (*.f64 (neg.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 (-.f64 (*.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 (cos.f64 y) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/ 1 (* z (cos y)))
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(/ (+ (* -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 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.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 z) (*.f64 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 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) 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))) (neg.f64 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))
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(* 1/2 (cos (neg (* -2 y))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* 1/2 (cos (neg (* -2 y))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* 1/120 (* x (pow y 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))
(* -1/720 (* (pow y 4) z))
(*.f64 z (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64)))))
(* -1/720 (* (pow y 4) z))
(*.f64 z (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64)))))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))

eval207.0ms (1.8%)

Memory
31.2MiB live, 469.4MiB allocated
Compiler

Compiled 38 950 to 2 611 computations (93.3% saved)

prune144.0ms (1.2%)

Memory
-6.9MiB live, 390.8MiB allocated
Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New1 231181 249
Fresh91322
Picked415
Done044
Total1 244361 280
Accuracy
100.0%
Counts
1 280 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
67.7%
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
38.0%
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
73.7%
(fma.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
67.5%
(fma.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
79.6%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
53.3%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
38.0%
(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)
▶54.3%
(fma.f64 y x z)
67.7%
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) z)
25.1%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64))
36.6%
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
▶62.2%
(/.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))
28.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
36.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
54.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
62.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
39.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
42.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
42.0%
(*.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 z))
14.8%
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
27.6%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
▶90.0%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
62.2%
(*.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))))
▶62.5%
(*.f64 z (cos.f64 y))
14.7%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
▶14.8%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
14.7%
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
14.6%
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
86.5%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓39.7%
(*.f64 x (sin.f64 y))
✓15.1%
(*.f64 x y)
✓43.0%
z
Compiler

Compiled 1 113 to 688 computations (38.2% saved)

simplify261.0ms (2.3%)

Memory
-30.8MiB live, 334.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(/.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))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x)
✓cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
✓cost-diff0
(fma.f64 y x z)
✓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)))
Rules
7 686×/-lowering-/.f32
7 686×/-lowering-/.f64
4 634×*-lowering-*.f32
4 634×*-lowering-*.f64
4 210×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027137
170137
2154133
3332129
4448125
5522125
6993125
72372125
83353125
93422125
103441125
113441125
123441125
133685125
143701125
153702125
163702125
173708125
08547117
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* z (+ (* x (/ (sin y) z)) (cos y)))
z
(+ (* x (/ (sin y) z)) (cos y))
x
(/ (sin y) z)
(sin y)
y
(cos y)
(+ (* y x) z)
y
x
z
(* y (+ (* (* y y) (* 1/120 (* x (* y y)))) x))
y
(+ (* (* y y) (* 1/120 (* x (* y y)))) x)
(* y y)
(* 1/120 (* x (* y y)))
1/120
(* x (* y y))
x
(* z (cos y))
z
(cos y)
y
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
z
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(cos y)
Outputs
(* z (+ (* x (/ (sin y) z)) (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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)
(+ (* y x) z)
(fma.f64 x y z)
y
x
z
(* y (+ (* (* y y) (* 1/120 (* x (* y y)))) x))
(*.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y))) x))
y
(+ (* (* y y) (* 1/120 (* x (* y y)))) x)
(fma.f64 (*.f64 x y) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y))) x)
(* y y)
(*.f64 y y)
(* 1/120 (* x (* y y)))
(*.f64 y (*.f64 x (*.f64 y #s(literal 1/120 binary64))))
1/120
#s(literal 1/120 binary64)
(* x (* y y))
(*.f64 x (*.f64 y y))
x
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(*.f64 (fma.f64 z (cos.f64 (*.f64 y #s(literal -2 binary64))) z) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
(*.f64 z (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))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(cos y)
(cos.f64 y)

localize97.0ms (0.8%)

Memory
22.4MiB live, 220.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓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))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy100.0%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
✓accuracy99.9%
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x)
✓accuracy99.8%
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))
✓accuracy87.9%
(*.f64 x (*.f64 y y))
✓accuracy100.0%
(fma.f64 y x z)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓accuracy99.8%
(/.f64 (sin.f64 y) z)
✓accuracy90.0%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
Samples
67.0ms256×0valid
Compiler

Compiled 131 to 29 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 18.0ms (35.9% of total)
ival-cos: 13.0ms (25.9% of total)
ival-sin: 8.0ms (16% of total)
ival-add: 5.0ms (10% of total)
const: 4.0ms (8% of total)
ival-div: 3.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
11.3MiB live, 50.2MiB allocated
Counts
16 → 360
Calls
Call 1
Inputs
#<alt (* z (+ (* x (/ (sin y) z)) (cos y)))>
#<alt (+ (* x (/ (sin y) z)) (cos y))>
#<alt (/ (sin y) z)>
#<alt (sin y)>
#<alt (+ (* y x) z)>
#<alt (* y (+ (* (* y y) (* 1/120 (* x (* y y)))) x))>
#<alt (+ (* (* y y) (* 1/120 (* x (* y y)))) x)>
#<alt (* y y)>
#<alt (* 1/120 (* x (* y y)))>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))>
#<alt (* z (+ (* 1/2 (cos (* y -2))) 1/2))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (cos (* y -2))>
#<alt (* x (* y y))>
Outputs
#<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 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 (* 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 (* x y)>
#<alt (* y (+ x (* 1/120 (* x (pow y 4)))))>
#<alt (* y (+ x (* 1/120 (* x (pow y 4)))))>
#<alt (* y (+ x (* 1/120 (* x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* (pow y 5) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* (pow y 5) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* (pow y 5) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (* -1/120 x))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (* -1/120 x))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (* -1/120 x))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* x (* y (+ 1 (* 1/120 (pow y 4)))))>
#<alt (* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))>
#<alt (* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))>
#<alt (* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))>
#<alt (* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))>
#<alt x>
#<alt (+ x (* 1/120 (* x (pow y 4))))>
#<alt (+ x (* 1/120 (* x (pow y 4))))>
#<alt (+ x (* 1/120 (* x (pow y 4))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* x (+ 1 (* 1/120 (pow y 4))))>
#<alt (* -1 (* x (- (* -1/120 (pow y 4)) 1)))>
#<alt (* -1 (* x (- (* -1/120 (pow y 4)) 1)))>
#<alt (* -1 (* x (- (* -1/120 (pow y 4)) 1)))>
#<alt (* -1 (* x (- (* -1/120 (pow y 4)) 1)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<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)>
#<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 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
Calls

90 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* y (+ (* (* y y) (* 1/120 (* x (* y y)))) x))
2.0ms
z
@0
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
1.0ms
x
@0
(* y (+ (* (* y y) (* 1/120 (* x (* y y)))) x))
1.0ms
y
@inf
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
1.0ms
y
@-inf
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))

rewrite889.0ms (7.7%)

Memory
3.0MiB live, 763.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 176×accelerator-lowering-fma.f32
11 176×accelerator-lowering-fma.f64
6 760×*-lowering-*.f32
6 760×*-lowering-*.f64
2 922×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027115
1138115
2954107
0850599
Stop Event
1×iter limit
1×node limit
Counts
16 → 527
Calls
Call 1
Inputs
(* z (+ (* x (/ (sin y) z)) (cos y)))
(+ (* x (/ (sin y) z)) (cos y))
(/ (sin y) z)
(sin y)
(+ (* y x) z)
(* y (+ (* (* y y) (* 1/120 (* x (* y y)))) x))
(+ (* (* y y) (* 1/120 (* x (* y y)))) x)
(* y y)
(* 1/120 (* x (* y y)))
(* z (cos y))
(cos y)
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
(+ (* 1/2 (cos (* y -2))) 1/2)
(cos (* y -2))
(* x (* y y))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)))
(+.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) (*.f64 z (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 z (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) z)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) z) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)))
(fma.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z)) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 (sin.f64 y) z)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 z x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (*.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 z x) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (*.f64 z (cos.f64 y)))
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z))))) (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 z (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (*.f64 z (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 (/.f64 (sin.f64 y) z) (neg.f64 x) (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)) (fma.f64 (/.f64 (sin.f64 y) z) (neg.f64 x) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) 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 y y)))) (-.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) z))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(*.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))
(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
(+.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y))
(fma.f64 (sin.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z)) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 x (/.f64 (sin.f64 y) z)))
(fma.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) z) x) (cos.f64 y))
(fma.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (sin.f64 y)) (cos.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y))
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y)) (*.f64 x (/.f64 (sin.f64 y) z)))
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(fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 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))) (neg.f64 (/.f64 #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)))))
(neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.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)) (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 (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 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))))
(/.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (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) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.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))) (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 (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 (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))))
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(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #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 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 3 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 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.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)) (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 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (+.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 1/16 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #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 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (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 (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)))))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 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))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #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 #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 (*.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))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #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 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 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))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.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)) (/.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 (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) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 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 (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 (neg.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))) (/.f64 #s(literal 1 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 (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 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)

simplify450.0ms (3.9%)

Memory
-12.2MiB live, 798.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 030×accelerator-lowering-fma.f32
13 030×accelerator-lowering-fma.f64
4 242×*-lowering-*.f32
4 242×*-lowering-*.f64
3 150×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02652707
18172686
223002630
354892614
088152386
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 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)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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)) z))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) 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 (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* y (+ x (* 1/120 (* x (pow y 4)))))
(* y (+ x (* 1/120 (* x (pow y 4)))))
(* y (+ x (* 1/120 (* x (pow y 4)))))
(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* 1/120 x) (/ x (pow y 4))))
(* (pow y 5) (+ (* 1/120 x) (/ x (pow y 4))))
(* (pow y 5) (+ (* 1/120 x) (/ x (pow y 4))))
(* 1/120 (* x (pow y 5)))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (* -1/120 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (* -1/120 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (* -1/120 x))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* x (* y (+ 1 (* 1/120 (pow y 4)))))
(* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))
(* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))
(* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))
(* -1 (* x (* y (- (* -1/120 (pow y 4)) 1))))
x
(+ x (* 1/120 (* x (pow y 4))))
(+ x (* 1/120 (* x (pow y 4))))
(+ x (* 1/120 (* x (pow y 4))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* 1/120 x) (/ x (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* x (+ 1 (* 1/120 (pow y 4))))
(* -1 (* x (- (* -1/120 (pow y 4)) 1)))
(* -1 (* x (- (* -1/120 (pow y 4)) 1)))
(* -1 (* x (- (* -1/120 (pow y 4)) 1)))
(* -1 (* x (- (* -1/120 (pow y 4)) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 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)
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
z
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
(+ 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))))
(+ 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))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
z
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* 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) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #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 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 y (/.f64 x z) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(*.f64 (/.f64 y z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y (*.f64 y y)) (/.f64 y z))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
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(*.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 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
z
(+ z (* -1 (* (pow y 2) z)))
(-.f64 z (*.f64 z (*.f64 y y)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)))) z)
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64))) z)
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 y (*.f64 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 y (*.f64 y #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))

eval119.0ms (1%)

Memory
12.8MiB live, 321.1MiB allocated
Compiler

Compiled 20 050 to 1 768 computations (91.2% saved)

prune177.0ms (1.5%)

Memory
-6.1MiB live, 320.7MiB allocated
Pruning

46 alts after pruning (38 fresh and 8 done)

PrunedKeptTotal
New92819947
Fresh71926
Picked235
Done055
Total93746983
Accuracy
100.0%
Counts
983 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
67.7%
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
62.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 z #s(literal 1/2 binary64))))
81.9%
(fma.f64 (*.f64 (*.f64 z x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
83.8%
(fma.f64 (*.f64 z (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 z (cos.f64 y)))
38.0%
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
41.7%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
67.5%
(fma.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
79.6%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
53.3%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
38.0%
(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)
41.7%
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
✓54.3%
(fma.f64 y x z)
29.3%
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (fma.f64 x (neg.f64 y) z))
11.4%
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 x y) z)))
28.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
62.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z z)) (cos.f64 y))
62.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z))) (cos.f64 y))
45.3%
(/.f64 z (cos.f64 y))
36.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
54.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
62.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
42.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
14.8%
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
53.4%
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
62.3%
(*.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)))
27.6%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
17.8%
(*.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (fma.f64 x y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))))
29.3%
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) z)))
42.0%
(*.f64 z (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)))
85.0%
(*.f64 z (fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (cos.f64 y)))
47.8%
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
69.7%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
29.9%
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z))
✓62.5%
(*.f64 z (cos.f64 y))
14.7%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
✓14.8%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
14.7%
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
14.6%
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
86.5%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓39.7%
(*.f64 x (sin.f64 y))
✓15.1%
(*.f64 x y)
✓43.0%
z
Compiler

Compiled 2 170 to 713 computations (67.1% saved)

regimes98.0ms (0.8%)

Memory
-25.7MiB live, 210.5MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(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)
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) 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 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (fma.f64 x (neg.f64 y) z))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
(*.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(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 (*.f64 (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (fma.f64 x y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 x y) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 z (cos.f64 y))
(*.f64 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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.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 (*.f64 x (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (cos.f64 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.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 z (cos.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z z)) (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))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z))) (cos.f64 y))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(fma.f64 (*.f64 z (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 z x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(/.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 #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 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) z)
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(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)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.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)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 y) z) z) #s(literal -1 binary64)) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (-.f64 (pow.f64 (*.f64 x (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 (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))))))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

25.0ms
z
22.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
21.0ms
x
21.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes50.0ms (0.4%)

Memory
12.8MiB live, 88.8MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(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)
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) 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 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (fma.f64 x (neg.f64 y) z))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
(*.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(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 (*.f64 (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (fma.f64 x y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 x y) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 z (cos.f64 y))
(*.f64 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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z))
Outputs
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
Calls

4 calls:

13.0ms
z
13.0ms
x
11.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms
y
Results
AccuracySegmentsBranch
91.0%3x
83.9%2y
88.7%3z
79.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(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)
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) 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 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (fma.f64 x (neg.f64 y) z))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
(*.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(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 (*.f64 (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (fma.f64 x y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 x y) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Outputs
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
91.0%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.3%)

Memory
-25.2MiB live, 58.2MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(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)
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) 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 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (fma.f64 x (neg.f64 y) z))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
(*.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(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 (*.f64 (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (fma.f64 x y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 x y) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
Calls

3 calls:

12.0ms
y
11.0ms
x
9.0ms
z
Results
AccuracySegmentsBranch
83.2%4y
74.1%3z
82.8%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.3%)

Memory
24.4MiB live, 62.2MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(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)
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) 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 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (fma.f64 x (neg.f64 y) z))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
(*.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(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 (*.f64 (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (fma.f64 x y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 x y) z)))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (sin.f64 y))
Calls

3 calls:

11.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
78.2%3y
60.6%3(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
67.6%3x
Compiler

Compiled 20 to 14 computations (30% saved)

regimes39.0ms (0.3%)

Memory
1.2MiB live, 38.7MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(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)
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) 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 (*.f64 y y) (/.f64 (*.f64 (neg.f64 x) x) z) z)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y))) x))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (fma.f64 x (neg.f64 y) z))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y)) z)
(*.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(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 (*.f64 (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (fma.f64 x y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 x y) z)))
Outputs
(fma.f64 y x z)
Calls

4 calls:

12.0ms
y
8.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms
x
8.0ms
z
Results
AccuracySegmentsBranch
54.3%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
54.3%1x
54.3%1z
54.3%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes41.0ms (0.4%)

Memory
-25.3MiB live, 10.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
Outputs
(*.f64 x y)
z
(*.f64 x y)
Calls

4 calls:

36.0ms
x
2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
43.0%1y
47.8%3x
43.0%1z
43.0%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
43.0%1y
43.0%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch43.0ms (0.4%)

Memory
-8.0MiB live, 41.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.0508593386310247e-52
4.350618177392529e-52
20.0ms
-1.264554767555796e+92
-1.2815741575152938e+81
Samples
32.0ms256×0valid
Compiler

Compiled 293 to 212 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 15.0ms (58.9% of total)
ival-sin: 6.0ms (23.6% of total)
ival-mult: 3.0ms (11.8% of total)
ival-add: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
30.3MiB live, 67.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.0508593386310247e-52
4.350618177392529e-52
23.0ms
-1.264554767555796e+92
-1.2815741575152938e+81
Samples
22.0ms256×0valid
Compiler

Compiled 287 to 206 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (40% of total)
ival-cos: 5.0ms (33.4% of total)
ival-mult: 3.0ms (20% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory
-18.6MiB live, 55.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.1894129123314573e+67
2.1134528037629818e+67
17.0ms
-1.001941724503984e+163
-5.666945430838491e+158
Samples
20.0ms192×0valid
Compiler

Compiled 207 to 158 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (31.8% of total)
ival-sin: 4.0ms (31.8% of total)
ival-cos: 3.0ms (23.8% of total)
ival-add: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
11.9MiB live, 60.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.18919137202866715
1.7063265697838754
19.0ms
-75585.80463486037
-2.2017660988087398e-10
Samples
20.0ms256×0valid
Compiler

Compiled 351 to 238 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (52.2% of total)
ival-sin: 3.0ms (22.4% of total)
ival-cos: 2.0ms (14.9% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory
-26.5MiB live, 50.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.1894129123314573e+67
2.1134528037629818e+67
17.0ms
-1.4093716214374719e+169
-7.84330354627541e+165
Samples
21.0ms192×0valid
Compiler

Compiled 159 to 122 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 6.0ms (43.7% of total)
ival-sin: 4.0ms (29.2% of total)
ival-mult: 2.0ms (14.6% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
8×if-if-or-not_binary32
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046106
163106
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -1299999999999999960853818865499829583266970833979198398690054931689450145545453568 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 6039028053441743/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x #s(literal -769999999999999981933213353759756137249220685978426222727317174396600341032656175104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 3032994000054447/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -76000000000000002369208118814780557149228818207435413549370104144938580027064352458301608367774761544387864611517718663368659566972904567975787977316302122385408 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 17000000000000000754129561965406728907708918979519253362953596960768 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3422735716801577/18014398509481984 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -205000000000000000058706369970259964541118933171030434536627940112228156823910839043183541725594567484441067768699490650174179037406082020966076224490999468433023696896 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 17999999999999999389946428785165159322916955435750915675903880069120 binary64)) z (*.f64 x y)))
z
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -1299999999999999960853818865499829583266970833979198398690054931689450145545453568 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 6039028053441743/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x #s(literal -1299999999999999960853818865499829583266970833979198398690054931689450145545453568 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 6039028053441743/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 (cos.f64 y) z) (+.f64 z (*.f64 x (sin.f64 y)))))
(if (<=.f64 x #s(literal -769999999999999981933213353759756137249220685978426222727317174396600341032656175104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 3032994000054447/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -769999999999999981933213353759756137249220685978426222727317174396600341032656175104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 3032994000054447/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -76000000000000002369208118814780557149228818207435413549370104144938580027064352458301608367774761544387864611517718663368659566972904567975787977316302122385408 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 17000000000000000754129561965406728907708918979519253362953596960768 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 x #s(literal -76000000000000002369208118814780557149228818207435413549370104144938580027064352458301608367774761544387864611517718663368659566972904567975787977316302122385408 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 17000000000000000754129561965406728907708918979519253362953596960768 binary64)) (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3422735716801577/18014398509481984 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -205000000000000000058706369970259964541118933171030434536627940112228156823910839043183541725594567484441067768699490650174179037406082020966076224490999468433023696896 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 17999999999999999389946428785165159322916955435750915675903880069120 binary64)) z (*.f64 x y)))
(if (<=.f64 x #s(literal -205000000000000000058706369970259964541118933171030434536627940112228156823910839043183541725594567484441067768699490650174179037406082020966076224490999468433023696896 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 17999999999999999389946428785165159322916955435750915675903880069120 binary64)) z (*.f64 y x)))
z

soundness866.0ms (7.5%)

Memory
9.5MiB live, 601.6MiB allocated
Rules
14 960×accelerator-lowering-fma.f32
14 960×accelerator-lowering-fma.f64
11 256×accelerator-lowering-fma.f32
11 256×accelerator-lowering-fma.f64
9 192×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096626
1316622
2937612
32505606
44416606
57325606
08407556
07676396
127926175
081905872
0819
12419
218019
3185319
0821318
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 254 to 134 computations (47.2% saved)

preprocess51.0ms (0.4%)

Memory
-0.1MiB live, 116.3MiB allocated
Compiler

Compiled 266 to 108 computations (59.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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