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

Time bar (total: 10.2s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (12.4%)

Memory
-170.2MiB live, 1 335.6MiB allocated
Samples
763.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 551.0ms
ival-cos: 202.0ms (36.7% of total)
ival-sin: 200.0ms (36.3% of total)
ival-mult: 105.0ms (19.1% of total)
ival-add: 35.0ms (6.4% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess48.0ms (0.5%)

Memory
10.9MiB live, 49.4MiB allocated
Algorithm
2×egg-herbie
Rules
164×unsub-neg
162×associate-*r*
148×associate-*l*
136×distribute-lft-neg-in
108×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain137.0ms (1.3%)

Memory
6.3MiB live, 206.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
66.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 20.0ms (40.7% of total)
ival-cos: 14.0ms (28.5% of total)
ival-sin: 12.0ms (24.4% of total)
ival-add: 2.0ms (4.1% 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
1.4MiB live, 1.4MiB 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
6.5MiB live, 6.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize63.0ms (0.6%)

Memory
-4.7MiB live, 69.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.8%
(*.f64 z (cos.f64 y))
Samples
54.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (34.6% of total)
ival-cos: 5.0ms (28.8% of total)
ival-mult: 5.0ms (28.8% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB 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
y
@-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)))

rewrite639.0ms (6.3%)

Memory
-34.3MiB live, 865.0MiB 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))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (-.f64 #s(literal 0 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))

simplify516.0ms (5.1%)

Memory
-3.4MiB live, 703.6MiB 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))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* y (+ 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))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(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))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))

eval30.0ms (0.3%)

Memory
35.4MiB live, 73.2MiB allocated
Compiler

Compiled 10 004 to 553 computations (94.5% saved)

prune45.0ms (0.4%)

Memory
-7.4MiB live, 109.1MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New25516271
Fresh000
Picked101
Done000
Total25616272
Accuracy
100.0%
Counts
272 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.9%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
55.6%
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
50.7%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
50.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
51.8%
(fma.f64 y x z)
55.9%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶45.2%
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
23.0%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
▶39.7%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
23.2%
(/.f64 (+.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)))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
38.9%
(-.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))))))
77.8%
(+.f64 (*.f64 x (sin.f64 y)) z)
39.7%
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
▶35.1%
z
Compiler

Compiled 810 to 426 computations (47.4% saved)

simplify536.0ms (5.2%)

Memory
14.9MiB live, 727.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff192
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
✓cost-diff192
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff20480
(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)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
✓cost-diff192
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff6208
(-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x (sin.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Rules
18 936×accelerator-lowering-fma.f32
18 936×accelerator-lowering-fma.f64
3 806×*-lowering-*.f32
3 806×*-lowering-*.f64
2 054×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032346
196345
2277345
3863345
42728339
56896339
08069323
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
y
z
(* x (sin y))
x
(sin y)
z
(+ (* x (sin y)) 0)
x
(sin y)
y
0
(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))
(- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))
(* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))
(* z z)
z
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))
(* x x)
x
(- 1/2 (* 1/2 (cos (+ y y))))
(- (* z (cos y)) (* x (sin y)))
(* z (cos y))
(cos y)
(* x (sin y))
(sin y)
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 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)
(- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
0
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(* z z)
Outputs
(+ (* (cos y) z) (* x (sin y)))
(fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(cos y)
(cos.f64 y)
y
z
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
x
(sin y)
(sin.f64 y)
z
(+ (* x (sin y)) 0)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
x
(sin y)
(sin.f64 y)
y
0
#s(literal 0 binary64)
(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64)) (fma.f64 x x (*.f64 z z)) #s(literal 0 binary64))) (-.f64 (fma.f64 (cos.f64 y) z #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64)) (fma.f64 x x (*.f64 z z)) #s(literal 0 binary64)))
(* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))
(fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* z z)
(*.f64 z z)
z
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 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))
(- (* z (cos y)) (* x (sin y)))
(-.f64 (fma.f64 (cos.f64 y) z #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 (cos.f64 y) z #s(literal 0 binary64))
(cos y)
(cos.f64 y)
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(sin y)
(sin.f64 y)
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64)) (fma.f64 x x (*.f64 z z)) #s(literal 0 binary64))) (-.f64 (fma.f64 (cos.f64 y) z #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(* 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)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(/ x (- (* x (sin y)) (* z (cos y))))
(/.f64 x (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z #s(literal 0 binary64))))
(- (* x (sin y)) (* z (cos y)))
(-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(sin y)
(sin.f64 y)
(* z (cos y))
(fma.f64 (cos.f64 y) z #s(literal 0 binary64))
z
(cos y)
(cos.f64 y)
(- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 y) z #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 z z) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z #s(literal 0 binary64))))
(* z z)
(*.f64 z z)

localize245.0ms (2.4%)

Memory
-18.6MiB live, 416.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy96.8%
(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)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓accuracy94.2%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy76.8%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy72.0%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓accuracy97.1%
(-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓accuracy83.1%
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy76.8%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy59.3%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
✓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
85.0ms92×1valid
43.0ms131×0valid
27.0ms33×2valid
Compiler

Compiled 360 to 34 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-cos: 40.0ms (32.4% of total)
ival-mult: 26.0ms (21.1% of total)
ival-sin: 21.0ms (17% of total)
ival-add: 13.0ms (10.5% of total)
adjust: 8.0ms (6.5% of total)
ival-sub: 8.0ms (6.5% of total)
ival-div: 7.0ms (5.7% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory
13.8MiB live, 128.0MiB allocated
Counts
14 → 360
Calls
Call 1
Inputs
#<alt (+ (* (cos y) z) (* x (sin y)))>
#<alt (cos y)>
#<alt (sin y)>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) 0)>
#<alt (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))>
#<alt (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))>
#<alt (* (* x x) (- 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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (pow z 2)>
#<alt (+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (pow 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 (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -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 (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -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 (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))>
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#<alt (* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))>
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))>
#<alt (* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (* x y)))>
#<alt (+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (* 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

90 calls:

TimeVariablePointExpression
7.0ms
y
@inf
(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))
4.0ms
z
@-inf
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
4.0ms
x
@inf
(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))
2.0ms
x
@-inf
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms
x
@inf
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))

rewrite206.0ms (2%)

Memory
38.9MiB live, 303.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 862×accelerator-lowering-fma.f32
1 862×accelerator-lowering-fma.f64
1 262×*-lowering-*.f32
1 262×*-lowering-*.f64
912×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032175
1225126
02309124
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
14 → 409
Calls
Call 1
Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
(sin y)
(* x (sin y))
(+ (* x (sin y)) 0)
(- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(- 1/2 (* 1/2 (cos (+ y y))))
(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(* (* x x) (- 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 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z))
(+.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(+.f64 (*.f64 (cos.f64 y) z) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))))
(+.f64 (fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (fma.f64 (cos.f64 y) z #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))))
(fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(fma.f64 z (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) (*.f64 (cos.f64 y) z))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(*.f64 (sin.f64 y) (*.f64 x (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) x) (sin.f64 y))
(*.f64 (*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (sin.f64 y)) x)
(neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z))))
(/.f64 (*.f64 z z) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)) (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)) (*.f64 z z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z)) (*.f64 z z)) #s(literal -1 binary64))
(*.f64 z (/.f64 z (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z))))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z))))
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(*.f64 (/.f64 z (-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z))) z)
(*.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))))
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(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)

simplify525.0ms (5.1%)

Memory
-27.8MiB live, 977.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 226×accelerator-lowering-fma.f32
7 226×accelerator-lowering-fma.f64
7 164×*-lowering-*.f32
7 164×*-lowering-*.f64
4 128×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09839203
135809071
084788615
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(pow z 2)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 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 y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(* (pow z 2) (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))
(* (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)))))))
(* (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)))))))
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) (pow z 2))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4)))) (pow z 3))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))
(/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))
(* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -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))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 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 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 (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))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 #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)))))))
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(*.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))))))

eval161.0ms (1.6%)

Memory
8.2MiB live, 407.7MiB allocated
Compiler

Compiled 44 213 to 2 307 computations (94.8% saved)

prune188.0ms (1.8%)

Memory
5.3MiB live, 200.9MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 041181 059
Fresh7411
Picked325
Done000
Total1 051241 075
Accuracy
100.0%
Counts
1 075 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(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)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
50.7%
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
29.0%
(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)
51.8%
(fma.f64 y x z)
55.9%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
19.8%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
▶19.7%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
19.9%
(fma.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64))
44.5%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
31.5%
(/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
14.9%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
55.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
▶77.8%
(+.f64 (*.f64 x (sin.f64 y)) z)
45.2%
(*.f64 (sin.f64 y) x)
91.3%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
▶54.9%
(*.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))))
55.6%
(*.f64 z (cos.f64 y))
19.9%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
90.9%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
28.4%
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
▶20.1%
(*.f64 x y)
✓35.1%
z
Compiler

Compiled 793 to 488 computations (38.5% saved)

simplify93.0ms (0.9%)

Memory
2.9MiB live, 119.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -2 binary64))
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓cost-diff7104
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓cost-diff-64
(*.f64 x (sin.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff192
(+.f64 (*.f64 x (sin.f64 y)) z)
✓cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓cost-diff-64
(*.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
1 840×accelerator-lowering-fma.f32
1 840×accelerator-lowering-fma.f64
1 024×*-lowering-*.f32
1 024×*-lowering-*.f64
938×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033176
177176
2195172
3510166
41022166
51392166
61769166
72043166
82291166
92359166
102607166
112822166
122882166
132882166
02882153
Stop Event
1×iter limit
1×saturated
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
(+ (* x (* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))) 0)
x
(* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))
y
(+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1)
(* y y)
(+ (* (* y y) 1/120) -1/6)
1/120
-1/6
1
0
(+ (* x (sin y)) z)
(* x (sin y))
x
(sin y)
y
z
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
z
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))
1/2
(/ (cos (* y -2)) (cos y))
(cos (* y -2))
(* y -2)
y
-2
(cos y)
(/ 1/2 (cos y))
Outputs
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
(fma.f64 x (sin.f64 y) (fma.f64 z (cos.f64 y) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (fma.f64 z (cos.f64 y) #s(literal 0 binary64))))
(+ (* z (cos y)) (* x (sin y)))
(fma.f64 x (sin.f64 y) (fma.f64 z (cos.f64 y) #s(literal 0 binary64)))
z
(cos y)
(cos.f64 y)
y
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
x
(sin y)
(sin.f64 y)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
x
y
(+ (* x (* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))) 0)
(fma.f64 y (fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
y
(+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* y y)
(*.f64 y y)
(+ (* (* y y) 1/120) -1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(+ (* x (sin y)) z)
(fma.f64 x (sin.f64 y) z)
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
x
(sin y)
(sin.f64 y)
y
z
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
(fma.f64 (/.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
z
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
1/2
#s(literal 1/2 binary64)
(/ (cos (* y -2)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(cos y)
(cos.f64 y)
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

localize118.0ms (1.2%)

Memory
18.5MiB live, 249.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓accuracy99.7%
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓accuracy99.6%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy99.2%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) z)
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy100.0%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓accuracy98.5%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
✓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
75.0ms256×0valid
Compiler

Compiled 171 to 35 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 16.0ms (28.5% of total)
ival-cos: 14.0ms (25% of total)
ival-div: 6.0ms (10.7% of total)
ival-add: 6.0ms (10.7% of total)
ival-sin: 6.0ms (10.7% of total)
const: 6.0ms (10.7% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
-32.7MiB live, 61.1MiB allocated
Counts
18 → 360
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 (* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))>
#<alt (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1)>
#<alt (* y y)>
#<alt (+ (* (* y y) 1/120) -1/6)>
#<alt (+ (* x (sin y)) z)>
#<alt (sin y)>
#<alt (* x (sin y))>
#<alt (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))>
#<alt (/ (cos (* y -2)) (cos y))>
#<alt (cos (* y -2))>
#<alt (* y -2)>
#<alt (+ (* x (* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))) 0)>
#<alt (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos 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>
#<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 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) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (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 (pow y 2)>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt z>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* 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 (* 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)>
#<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 (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
Calls

90 calls:

TimeVariablePointExpression
7.0ms
z
@0
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
6.0ms
y
@inf
(* x y)
4.0ms
x
@inf
(/ 1 (+ (* z (cos y)) (* x (sin y))))
1.0ms
x
@0
(+ (* x (* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))) 0)
1.0ms
y
@inf
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))

rewrite542.0ms (5.3%)

Memory
15.2MiB live, 956.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 724×accelerator-lowering-fma.f32
4 724×accelerator-lowering-fma.f64
4 580×*-lowering-*.f32
4 580×*-lowering-*.f64
4 498×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033145
1179145
21507141
08209128
Stop Event
1×iter limit
1×node limit
Counts
18 → 888
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)
(* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))
(+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1)
(* y y)
(+ (* (* y y) 1/120) -1/6)
(+ (* x (sin y)) z)
(sin y)
(* x (sin y))
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))
(/ (cos (* y -2)) (cos y))
(cos (* y -2))
(* y -2)
(+ (* x (* y (+ (* (* y y) (+ (* (* y y) 1/120) -1/6)) 1))) 0)
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
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 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 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 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.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 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z #s(literal 1/2 binary64))) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) z)
(*.f64 (/.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1/2 binary64)) (/.f64 z (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))

simplify543.0ms (5.3%)

Memory
28.9MiB live, 982.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 044×accelerator-lowering-fma.f32
11 044×accelerator-lowering-fma.f64
5 966×*-lowering-*.f32
5 966×*-lowering-*.f64
3 208×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03763624
111793587
239863488
081803265
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
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
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(/ (- (+ (/ 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 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
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(+ z (* x y))
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(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
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y
(* y (+ 1 (* -1/6 (pow y 2))))
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(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* 1/120 (pow y 5))
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(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
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(* 1/120 (pow y 2))
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z
(+ z (* x (sin y)))
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(* x (+ (sin y) (/ z x)))
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(* x (sin y))
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z
(+ z (* x y))
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z
(* z (+ 1 (/ (* x (sin y)) z)))
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z
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y
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(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* 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) (* 1/120 (* x (pow y 2)))))))
(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 5)))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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 (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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 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
(+ 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)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 z (fma.f64 z (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 z (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 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (- (+ (/ 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 (fma.f64 x (fma.f64 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 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) 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 (fma.f64 x (fma.f64 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 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 x (*.f64 x (*.f64 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)))))) 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 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (fma.f64 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 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (*.f64 z z))) (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)))) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(fma.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 x z) (*.f64 (/.f64 x (*.f64 z z)) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z))) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* 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))))
(fma.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 x (-.f64 (fma.f64 x (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) #s(literal 0 binary64)) (/.f64 (sin.f64 y) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/ (- (+ (/ 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)
(/.f64 (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) 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)
(/.f64 (-.f64 (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (*.f64 z (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(* -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))
(/.f64 (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (*.f64 x x))) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) x)
(* 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)))
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(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -7/80 binary64)) #s(literal -1/8 binary64))) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (*.f64 x y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(* 1/120 (* x (pow y 5)))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(* 1/120 (* x (pow y 5)))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (*.f64 y 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) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))

eval364.0ms (3.6%)

Memory
9.8MiB live, 419.3MiB allocated
Compiler

Compiled 46 960 to 2 794 computations (94.1% saved)

prune210.0ms (2.1%)

Memory
0.5MiB live, 483.6MiB allocated
Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New1 316171 333
Fresh31417
Picked415
Done022
Total1 323341 357
Accuracy
100.0%
Counts
1 357 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.0%
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
59.8%
(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)
77.8%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
50.7%
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
29.0%
(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)
▶51.8%
(fma.f64 y x z)
19.7%
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #s(literal 0 binary64))
55.9%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
19.8%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
19.9%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
3.1%
(fma.f64 x (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 0 binary64))
27.2%
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) z))
44.5%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
14.9%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
55.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
29.2%
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
▶51.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
55.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
45.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
35.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
69.3%
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
45.2%
(*.f64 (sin.f64 y) x)
32.8%
(*.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)))
55.0%
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
32.8%
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
69.3%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
23.7%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)))) (/.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) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))))
▶55.6%
(*.f64 z (cos.f64 y))
19.9%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
▶90.9%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
▶28.4%
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
✓20.1%
(*.f64 x y)
✓35.1%
z
Compiler

Compiled 1 131 to 694 computations (38.6% saved)

simplify361.0ms (3.5%)

Memory
37.7MiB live, 348.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
✓cost-diff0
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(fma.f64 x y z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
✓cost-diff0
(fma.f64 y x z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 (cos.f64 y) x)
✓cost-diff0
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓cost-diff704
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
Rules
6 322×*-lowering-*.f32
6 322×*-lowering-*.f64
2 950×cube-prod
2 390×pow-lowering-pow.f64
2 390×pow-lowering-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026114
149114
286114
3125112
4171112
5424112
6818112
71846112
82703112
93136112
103424112
113689112
124133112
134751112
145592112
155972112
166118112
176185112
186251112
196318112
207315112
217844112
08001103
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* z (/ (cos y) x)) (sin y)))
x
(+ (* z (/ (cos y) x)) (sin y))
z
(/ (cos y) x)
(cos y)
y
(sin y)
(+ (* y x) z)
y
x
z
(/ 1 (/ 1 (+ (* x y) z)))
1
(/ 1 (+ (* x y) z))
(+ (* x y) z)
x
y
z
(* z (cos y))
z
(cos y)
y
(* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)))
x
(/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))
(+ (* -1/2 (cos (* y -2))) 1/2)
-1/2
(cos (* y -2))
(* y -2)
y
-2
1/2
(sin y)
Outputs
(* x (+ (* z (/ (cos y) x)) (sin y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
x
(+ (* z (/ (cos y) x)) (sin y))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
z
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
y
(sin y)
(sin.f64 y)
(+ (* y x) z)
(fma.f64 x y z)
y
x
z
(/ 1 (/ 1 (+ (* x y) z)))
(fma.f64 x y z)
1
#s(literal 1 binary64)
(/ 1 (+ (* x y) z))
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
(+ (* x y) z)
(fma.f64 x y z)
x
y
z
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin 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)))
x
(/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(+ (* -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)
1/2
#s(literal 1/2 binary64)
(sin y)
(sin.f64 y)

localize153.0ms (1.5%)

Memory
-96.3MiB live, 283.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
✓accuracy99.6%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy76.9%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
✓accuracy76.8%
(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)
✓accuracy99.8%
(*.f64 z (cos.f64 y))
✓accuracy100.0%
(fma.f64 x y z)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
✓accuracy100.0%
(fma.f64 y x z)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(/.f64 (cos.f64 y) x)
✓accuracy99.8%
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓accuracy91.0%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
Samples
44.0ms74×2valid
36.0ms130×0valid
16.0ms22×3valid
11.0ms30×1valid
Compiler

Compiled 111 to 28 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-cos: 32.0ms (39.9% of total)
ival-mult: 19.0ms (23.7% of total)
ival-div: 10.0ms (12.5% of total)
ival-add: 7.0ms (8.7% of total)
adjust: 6.0ms (7.5% of total)
ival-sin: 6.0ms (7.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
29.7MiB live, 29.7MiB allocated
Counts
14 → 348
Calls
Call 1
Inputs
#<alt (* x (+ (* z (/ (cos y) x)) (sin y)))>
#<alt (+ (* z (/ (cos y) x)) (sin y))>
#<alt (/ (cos y) x)>
#<alt (cos y)>
#<alt (+ (* y x) z)>
#<alt (/ 1 (/ 1 (+ (* x y) z)))>
#<alt (/ 1 (+ (* x y) z))>
#<alt (+ (* x y) z)>
#<alt (* z (cos y))>
#<alt (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)))>
#<alt (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))>
#<alt (+ (* -1/2 (cos (* y -2))) 1/2)>
#<alt (cos (* y -2))>
#<alt (sin 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 (* 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)) x)))>
#<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) (/ (* z (cos y)) x)))>
#<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 (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<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)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ z x)>
#<alt (+ y (/ z x))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<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 (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (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 z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt z>
#<alt (+ z (* 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 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 (* 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 (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y))) y)>
#<alt (/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (/ z (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y)) (/ z (pow x 2))) y)) (/ 1 x)) y))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)>
#<alt (/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z))>
#<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 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 (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* z (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 (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
Calls

87 calls:

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

rewrite463.0ms (4.5%)

Memory
10.2MiB live, 677.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 830×accelerator-lowering-fma.f32
6 830×accelerator-lowering-fma.f64
5 350×*-lowering-*.f32
5 350×*-lowering-*.f64
3 466×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02690
112990
278790
0807681
Stop Event
1×iter limit
1×node limit
Counts
14 → 850
Calls
Call 1
Inputs
(* x (+ (* z (/ (cos y) x)) (sin y)))
(+ (* z (/ (cos y) x)) (sin y))
(/ (cos y) x)
(cos y)
(+ (* y x) z)
(/ 1 (/ 1 (+ (* x y) z)))
(/ 1 (+ (* x y) z))
(+ (* x y) z)
(* z (cos y))
(* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)))
(/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))
(+ (* -1/2 (cos (* y -2))) 1/2)
(cos (* y -2))
(sin y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x))
(+.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) (*.f64 x (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 x (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)))))
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x))
(fma.f64 z (*.f64 x (/.f64 (cos.f64 y) x)) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x z)) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) x (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 x x) (*.f64 x (sin.f64 y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x z)) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) x)) z (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 (cos.f64 y) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) (cos.f64 y))) (/.f64 #s(literal -1 binary64) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) x)) (cos.f64 y) (*.f64 x (sin.f64 y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y))) (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (*.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) #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 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) x)) (*.f64 z (*.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (*.f64 x (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 z (neg.f64 (/.f64 (cos.f64 y) x)) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) #s(literal 2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 z (neg.f64 (/.f64 (cos.f64 y) x)) (sin.f64 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))))) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (fma.f64 z (neg.f64 (/.f64 (cos.f64 y) x)) (sin.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)))) x) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) x))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 0 binary64)) (sin.f64 y))) x))
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(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 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 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 (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 (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)) #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 (/.f64 #s(literal 1 binary64) (fma.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)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y)))

simplify449.0ms (4.4%)

Memory
28.0MiB live, 848.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 434×accelerator-lowering-fma.f32
9 434×accelerator-lowering-fma.f64
5 254×*-lowering-*.f32
5 254×*-lowering-*.f64
3 790×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04063057
112442995
236082908
083672723
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
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)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
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(+ (sin y) (/ (* z (cos y)) x))
(/ 1 x)
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(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
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(/ (cos y) x)
(/ (cos y) x)
1
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(cos y)
(cos y)
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(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
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(+ z (* x y))
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(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
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(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
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(+ z (* x y))
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(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(/ 1 z)
(/ (+ 1 (* -1 (/ (* x y) z))) z)
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z)
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z)
(/ 1 z)
(* -1 (/ (- (/ (* x y) z) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z))
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)))))
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)))))
(* 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)))
(* 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))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(* x y)
(* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(* z (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 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.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
(+ 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 y (*.f64 x #s(literal -1/6 binary64)))) x) z)
(* 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) (/ (* 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) (/ (* 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)))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ z x)
(/.f64 z x)
(+ y (/ z x))
(+.f64 y (/.f64 z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(fma.f64 y (fma.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (/.f64 z x))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 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)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(*.f64 y x)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(*.f64 y x)
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 y x)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
z
(* z (+ 1 (/ (* x y) z)))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(* z (+ 1 (/ (* x y) z)))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
(* z (+ 1 (/ (* x y) z)))
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z))))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(*.f64 y x)
(* x (+ y (/ z x)))
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(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin 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)))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin 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)))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin 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)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval177.0ms (1.7%)

Memory
-25.5MiB live, 336.4MiB allocated
Compiler

Compiled 28 671 to 2 345 computations (91.8% saved)

prune190.0ms (1.9%)

Memory
-24.4MiB live, 476.1MiB allocated
Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New1 209281 237
Fresh111526
Picked325
Done033
Total1 223481 271
Accuracy
100.0%
Counts
1 271 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(fma.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) (cos.f64 y))) (/.f64 #s(literal -1 binary64) x) (*.f64 x (sin.f64 y)))
33.0%
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
17.9%
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
30.6%
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 y (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
18.5%
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
77.8%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
50.7%
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
29.0%
(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)
✓51.8%
(fma.f64 y x z)
19.7%
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #s(literal 0 binary64))
3.1%
(fma.f64 x (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 0 binary64))
22.7%
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))
55.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
28.4%
(/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
18.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x))))) y))
13.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 y (*.f64 y x)))) x))
33.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
55.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
20.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (/.f64 z x)))))
45.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
35.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
19.1%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (*.f64 y (*.f64 y (*.f64 x x))))))
33.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (/.f64 x z) #s(literal -1 binary64)) z)))
31.2%
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)) (*.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))))
51.3%
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
27.9%
(*.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)))
33.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))
69.3%
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
45.2%
(*.f64 (sin.f64 y) x)
32.8%
(*.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)))
44.2%
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))
32.8%
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
69.3%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
23.7%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)))) (/.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) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))))
✓55.6%
(*.f64 z (cos.f64 y))
40.2%
(*.f64 y (+.f64 x (/.f64 z y)))
19.9%
(*.f64 y (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
91.0%
(*.f64 x (fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y)))
90.9%
(*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) (sin.f64 y)))
30.5%
(*.f64 x (/.f64 z x))
46.8%
(*.f64 x (*.f64 z (/.f64 (cos.f64 y) x)))
90.8%
(*.f64 x (*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))))
19.8%
(*.f64 x (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
19.9%
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓20.1%
(*.f64 x y)
✓35.1%
z
Compiler

Compiled 2 105 to 748 computations (64.5% saved)

regimes109.0ms (1.1%)

Memory
6.7MiB live, 232.1MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 x (/.f64 z x))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 y (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) 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 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y 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 x (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #s(literal 0 binary64))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (/.f64 x z) #s(literal -1 binary64)) z)))
(*.f64 x (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (*.f64 y (*.f64 y (*.f64 x x))))))
(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)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 y (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)) (*.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 y (*.f64 y x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x))))) y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (*.f64 z (/.f64 (cos.f64 y) x)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(/.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))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.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 x (fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) (sin.f64 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 x (*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))))
(fma.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) (cos.f64 y))) (/.f64 #s(literal -1 binary64) x) (*.f64 x (sin.f64 y)))
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) z))
(*.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))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.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 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (*.f64 x (-.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)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)))) (/.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) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

27.0ms
z
25.0ms
y
23.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
23.0ms
x
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)

regimes73.0ms (0.7%)

Memory
26.8MiB live, 177.9MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 x (/.f64 z x))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 y (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) 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 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y 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 x (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #s(literal 0 binary64))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (/.f64 x z) #s(literal -1 binary64)) z)))
(*.f64 x (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (*.f64 y (*.f64 y (*.f64 x x))))))
(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)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 y (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)) (*.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 y (*.f64 y x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x))))) y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (*.f64 z (/.f64 (cos.f64 y) x)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(/.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))))
Outputs
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Calls

4 calls:

22.0ms
x
18.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms
z
14.0ms
y
Results
AccuracySegmentsBranch
89.4%3x
80.1%2y
86.0%3z
77.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes54.0ms (0.5%)

Memory
20.9MiB live, 138.8MiB allocated
Counts
45 → 4
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 x (/.f64 z x))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 y (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) 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 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y 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 x (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #s(literal 0 binary64))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (/.f64 x z) #s(literal -1 binary64)) z)))
(*.f64 x (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (*.f64 y (*.f64 y (*.f64 x x))))))
(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)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 y (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)) (*.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 y (*.f64 y x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x))))) y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
Outputs
(*.f64 (sin.f64 y) x)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
Calls

4 calls:

13.0ms
x
13.0ms
z
13.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms
y
Results
AccuracySegmentsBranch
61.0%4(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
78.6%4y
72.9%4z
75.9%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes37.0ms (0.4%)

Memory
-32.7MiB live, 68.7MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 x (/.f64 z x))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 y (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) 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 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y 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 x (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #s(literal 0 binary64))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (/.f64 x z) #s(literal -1 binary64)) z)))
(*.f64 x (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (*.f64 y (*.f64 y (*.f64 x x))))))
(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)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 y (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)) (*.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 y (*.f64 y x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x))))) y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 z (cos.f64 y))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(*.f64 z (cos.f64 y))
Calls

2 calls:

23.0ms
y
12.0ms
x
Results
AccuracySegmentsBranch
68.0%3x
73.4%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes98.0ms (1%)

Memory
-17.5MiB live, 102.9MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 x (/.f64 z x))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 y (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) 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 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y 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 x (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #s(literal 0 binary64))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (/.f64 x z) #s(literal -1 binary64)) z)))
(*.f64 x (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) (*.f64 (-.f64 (*.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (*.f64 y (*.f64 y (*.f64 x x))))))
(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)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 y (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)) (*.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 y (*.f64 y x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x))))) y))
Outputs
(fma.f64 y x z)
Calls

4 calls:

55.0ms
z
18.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
51.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
51.8%1x
51.8%1z
51.8%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
Outputs
(*.f64 x y)
z
(*.f64 x y)
Calls

4 calls:

2.0ms
z
2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
35.1%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
35.1%1y
41.9%3x
40.7%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
35.1%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
35.1%1z
35.1%1x
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch81.0ms (0.8%)

Memory
-12.4MiB live, 65.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
2.67999847992547e-78
4.1994340843520454e-76
19.0ms
-1.7608212482290317e-65
-1.628684468933823e-79
Samples
55.0ms272×0valid
Compiler

Compiled 304 to 218 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 36.0ms (75.7% of total)
ival-sin: 7.0ms (14.7% of total)
ival-mult: 3.0ms (6.3% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory
13.0MiB live, 93.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
3.2178567813570696e+237
1.0224257614969209e+238
17.0ms
2.0503979992940677e-6
35553785.802829176
24.0ms
-5.462509468552994
-5.516053407982772e-14
Samples
31.0ms400×0valid
Compiler

Compiled 515 to 354 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 8.0ms (39% of total)
ival-cos: 5.0ms (24.4% of total)
ival-mult: 5.0ms (24.4% of total)
ival-add: 2.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory
0.6MiB live, 78.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.0503979992940677e-6
35553785.802829176
36.0ms
-638544147896.5021
-42.66148423549167
Samples
29.0ms320×0valid
Compiler

Compiled 535 to 354 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 8.0ms (38.3% of total)
ival-cos: 7.0ms (33.5% of total)
ival-mult: 4.0ms (19.2% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory
-19.3MiB live, 18.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
6.009518178168453e+199
6.814675953655664e+199
37.0ms
-4.5902171771185686e+191
-9.293325068313245e+189
Samples
36.0ms144×0valid
Compiler

Compiled 123 to 95 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 4.0ms (45.6% of total)
ival-cos: 3.0ms (34.2% of total)
ival-mult: 2.0ms (22.8% of total)
ival-add: 1.0ms (11.4% 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
12×*-commutative_binary64
6×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049104
164104
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -5470555600507653/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 1890369386038403/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 y #s(literal -1642913144064757/288230376151711744 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1498797955988901/576460752303423488 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 10000000000000000486475973287265010404848153099971055159735310397418651127357734700791903005570128910531738945888832142428584597165509708623196466454966148714674320981543085810557013220039375302073350623645891623631119178909006652304785408 binary64)) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -43 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) (*.f64 z (cos.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -13000000000000000547540588408176864196590417942719280615728688617224788379896006048152128465815227064756572071940406454153460897486905694940753420623249182381802563710699431350473338856144896 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 61999999999999997103668630967449593403409846497471700369091099553313753487110781486426894878081570098985053348663578608805411541715050711010986397156090824613756267229562072990776684245868639349112832 binary64)) z (*.f64 x y)))
z
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -5470555600507653/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 1890369386038403/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -5470555600507653/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 1890369386038403/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 y #s(literal -1642913144064757/288230376151711744 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1498797955988901/576460752303423488 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 10000000000000000486475973287265010404848153099971055159735310397418651127357734700791903005570128910531738945888832142428584597165509708623196466454966148714674320981543085810557013220039375302073350623645891623631119178909006652304785408 binary64)) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -1642913144064757/288230376151711744 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1498797955988901/576460752303423488 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 10000000000000000486475973287265010404848153099971055159735310397418651127357734700791903005570128910531738945888832142428584597165509708623196466454966148714674320981543085810557013220039375302073350623645891623631119178909006652304785408 binary64)) (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -43 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -43 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) (*.f64 (cos.f64 y) z)))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -13000000000000000547540588408176864196590417942719280615728688617224788379896006048152128465815227064756572071940406454153460897486905694940753420623249182381802563710699431350473338856144896 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 61999999999999997103668630967449593403409846497471700369091099553313753487110781486426894878081570098985053348663578608805411541715050711010986397156090824613756267229562072990776684245868639349112832 binary64)) z (*.f64 x y)))
(if (<=.f64 x #s(literal -13000000000000000547540588408176864196590417942719280615728688617224788379896006048152128465815227064756572071940406454153460897486905694940753420623249182381802563710699431350473338856144896 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 61999999999999997103668630967449593403409846497471700369091099553313753487110781486426894878081570098985053348663578608805411541715050711010986397156090824613756267229562072990776684245868639349112832 binary64)) z (*.f64 y x)))
z

soundness1.1s (10.8%)

Memory
-20.9MiB live, 537.1MiB 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
7 226×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032175
1225126
02309124
096626
1316622
2937612
32505606
44416606
57325606
08407556
0819
12419
218019
3185319
0821318
033145
1179145
21507141
08209128
09839203
135809071
084788615
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 271 to 150 computations (44.6% saved)

preprocess75.0ms (0.7%)

Memory
23.1MiB live, 99.0MiB allocated
Compiler

Compiled 256 to 112 computations (56.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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