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

Time bar (total: 10.4s)

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)

sample1.4s (13.5%)

Memory
-1.1MiB live, 1 696.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 617.0ms
ival-sin: 230.0ms (37.3% of total)
ival-cos: 193.0ms (31.3% of total)
ival-mult: 113.0ms (18.3% of total)
ival-add: 71.0ms (11.5% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess45.0ms (0.4%)

Memory
-1.5MiB live, 37.5MiB allocated
Algorithm
2×egg-herbie
Rules
168×associate-*r*
164×unsub-neg
142×associate-*l*
132×distribute-lft-neg-in
116×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
18190
214190
332390
449190
573390
690490
798790
8106690
9113290
10114690
11115190
12115390
089
1119
0118
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* x (cos y)) (* z (sin y)))
Outputs
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Call 2
Inputs
(+ (* x (cos y)) (* z (sin y)))
(+ (* (neg x) (cos y)) (* z (sin y)))
(+ (* x (cos (neg y))) (* z (sin (neg y))))
(+ (* x (cos y)) (* (neg z) (sin y)))
(neg (+ (* (neg x) (cos y)) (* z (sin y))))
(neg (+ (* x (cos (neg y))) (* z (sin (neg y)))))
(neg (+ (* x (cos y)) (* (neg z) (sin y))))
(+ (* y (cos x)) (* z (sin x)))
(+ (* z (cos y)) (* x (sin y)))
(+ (* x (cos z)) (* y (sin z)))
Outputs
(+ (* x (cos y)) (* z (sin y)))
(+ (* (neg x) (cos y)) (* z (sin y)))
(- (* z (sin y)) (* x (cos y)))
(+ (* x (cos (neg y))) (* z (sin (neg y))))
(- (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* (neg z) (sin y)))
(- (* x (cos y)) (* z (sin y)))
(neg (+ (* (neg x) (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(neg (+ (* x (cos (neg y))) (* z (sin (neg y)))))
(- (* z (sin y)) (* x (cos y)))
(neg (+ (* x (cos y)) (* (neg z) (sin y))))
(- (* z (sin y)) (* x (cos y)))
(+ (* y (cos x)) (* z (sin x)))
(+ (* z (cos y)) (* x (sin y)))
(+ (* (cos y) z) (* x (sin y)))
(+ (* x (cos z)) (* y (sin z)))

explain103.0ms (1%)

Memory
24.8MiB live, 183.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
51.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 12.0ms (36.7% of total)
ival-cos: 11.0ms (33.6% of total)
ival-mult: 8.0ms (24.5% of total)
ival-add: 2.0ms (6.1% 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
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Memory
-50.6MiB live, 4.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
Outputs
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)

localize34.0ms (0.3%)

Memory
24.3MiB live, 61.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
26.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 6.0ms (33.7% of total)
ival-mult: 6.0ms (33.7% of total)
ival-sin: 5.0ms (28.1% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (* z (sin y))>
Outputs
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

24 calls:

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

rewrite496.0ms (4.8%)

Memory
-15.5MiB live, 737.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 480×accelerator-lowering-fma.f32
11 480×accelerator-lowering-fma.f64
4 168×*-lowering-*.f32
4 168×*-lowering-*.f64
4 068×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12419
218019
3185319
0839518
Stop Event
1×iter limit
1×node limit
Counts
4 → 176
Calls
Call 1
Inputs
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 #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 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))))
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(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x (cos.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.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 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x (cos.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

simplify482.0ms (4.6%)

Memory
1.6MiB live, 631.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 080×accelerator-lowering-fma.f32
14 080×accelerator-lowering-fma.f64
3 812×*-lowering-*.f32
3 812×*-lowering-*.f64
2 968×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1295616
2892610
32078604
43746604
56389604
08805554
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
Outputs
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x)
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(fma.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (*.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 (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))

eval30.0ms (0.3%)

Memory
31.0MiB live, 69.5MiB allocated
Compiler

Compiled 10 138 to 554 computations (94.5% saved)

prune42.0ms (0.4%)

Memory
-22.0MiB live, 98.7MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New25616272
Fresh000
Picked101
Done000
Total25716273
Accuracy
99.9%
Counts
273 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
39.4%
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
51.1%
(fma.f64 z y x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal -1/6 binary64))) z) x)
49.8%
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
▶66.9%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶62.0%
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.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))))))))
▶44.4%
(/.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 (sin.f64 y)) (*.f64 x (cos.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
44.5%
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
75.0%
(+.f64 x (*.f64 z (sin.f64 y)))
49.4%
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
44.4%
(*.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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))
▶38.5%
x
Compiler

Compiled 848 to 420 computations (50.5% saved)

simplify415.0ms (4%)

Memory
-2.8MiB live, 511.4MiB 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 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff20736
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓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 (sin.f64 y)) (*.f64 x (cos.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-diff6464
(-.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
(cos.f64 y)
✓cost-diff0
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x (cos.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Rules
11 268×accelerator-lowering-fma.f32
11 268×accelerator-lowering-fma.f64
3 264×*-lowering-*.f32
3 264×*-lowering-*.f64
1 492×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032360
1103360
2299359
3744359
42221353
55894353
08342335
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
y
z
(* x (cos y))
x
(cos y)
x
(+ (* x (cos y)) 0)
x
(cos y)
y
0
(/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos 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 (sin y)) (* x (cos y)))
(* z (sin y))
(sin y)
(* x (cos y))
(cos y)
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
x
(/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))
(* x (+ 1/2 (* 1/2 (cos (+ y y)))))
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
z
(sin y)
(- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
0
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(* z z)
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
(- 1/2 (* 1/2 (cos (+ y y))))
Outputs
(+ (* (sin y) z) (* x (cos y)))
(fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(sin y)
(sin.f64 y)
y
z
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
x
(+ (* x (cos y)) 0)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.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 (sin y)) (* x (cos y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 z z (fma.f64 (cos.f64 (+.f64 y y)) (neg.f64 (fma.f64 z z (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) #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 z z (fma.f64 (cos.f64 (+.f64 y y)) (neg.f64 (fma.f64 z z (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal 0 binary64))
(* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
(- 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) (+ 1/2 (* 1/2 (cos (+ y y)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(- (* z (sin y)) (* x (cos y)))
(-.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (sin y))
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
(sin y)
(sin.f64 y)
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(cos y)
(cos.f64 y)
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 z z (fma.f64 (cos.f64 (+.f64 y y)) (neg.f64 (fma.f64 z z (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal 0 binary64))
x
(/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (cos (+ y y)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(- (* x (cos y)) (* z (sin y)))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(cos y)
(cos.f64 y)
(* z (sin y))
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
(- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) #s(literal 0 binary64))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
(/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))

localize270.0ms (2.6%)

Memory
4.8MiB live, 469.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy93.7%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy76.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy70.2%
(*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓accuracy95.7%
(-.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))))))
✓accuracy89.1%
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy76.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy52.7%
(/.f64 (-.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 (sin.f64 y)) (*.f64 x (cos.f64 y))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
104.0ms111×1valid
47.0ms134×0valid
9.0ms10×2valid
1.0ms1×3valid
Compiler

Compiled 374 to 34 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-cos: 63.0ms (48.1% of total)
ival-mult: 24.0ms (18.3% of total)
ival-sin: 13.0ms (9.9% of total)
ival-add: 10.0ms (7.6% of total)
ival-sub: 8.0ms (6.1% of total)
ival-div: 7.0ms (5.3% of total)
adjust: 6.0ms (4.6% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series113.0ms (1.1%)

Memory
-2.6MiB live, 109.5MiB allocated
Counts
14 → 372
Calls
Call 1
Inputs
#<alt (+ (* (sin y) z) (* x (cos y)))>
#<alt (sin y)>
#<alt (cos y)>
#<alt (* x (cos y))>
#<alt (+ (* x (cos 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 (sin y)) (* x (cos y))))>
#<alt (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))>
#<alt (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))>
#<alt (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))>
#<alt (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 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 (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* -1 (* (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 (* -1 (pow x 2))>
#<alt (- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow y 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 z 2)) (* -1 (pow x 2)))) (pow x 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 (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 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 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 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))>
#<alt (+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos 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 (sin y)) (* x (cos 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 (sin y)) (* x (cos 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 (sin y)) (* x (cos 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 (sin y)) (* x (cos y))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
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Calls

93 calls:

TimeVariablePointExpression
52.0ms
x
@inf
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
7.0ms
x
@inf
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
4.0ms
x
@inf
(/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y))))
4.0ms
z
@0
(- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms
x
@-inf
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))

rewrite174.0ms (1.7%)

Memory
28.5MiB live, 332.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 810×accelerator-lowering-fma.f32
1 810×accelerator-lowering-fma.f64
1 262×*-lowering-*.f32
1 262×*-lowering-*.f64
924×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032192
1233137
02380135
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
14 → 411
Calls
Call 1
Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
(cos y)
(* x (cos y))
(+ (* x (cos 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 (sin y)) (* x (cos y))))
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
(- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
(* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
Outputs
(+.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) z))
(+.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 0 binary64))
(+.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(-.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(fma.f64 z (/.f64 (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #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 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 (sin.f64 y) z))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(fma.f64 (/.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(fma.f64 (/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) #s(literal 0 binary64))
(neg.f64 (/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 y) (*.f64 x (*.f64 (sin.f64 y) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 z z) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (fma.f64 (*.f64 z z) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
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(/.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(/.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 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (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 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.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 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (*.f64 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (*.f64 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(/.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)))) #s(literal 1 binary64)) (*.f64 (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)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(/.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))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))))
(/.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(/.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 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))) (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 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (*.f64 z (*.f64 z (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))

simplify704.0ms (6.8%)

Memory
-38.2MiB live, 886.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 500×accelerator-lowering-fma.f32
7 500×accelerator-lowering-fma.f64
7 322×*-lowering-*.f32
7 322×*-lowering-*.f64
4 058×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105411241
1377711068
0887610654
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
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)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* (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)))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 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 z 2)) (* -1 (pow x 2)))) (pow x 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)))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 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)))))
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)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
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(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(* -1 (/ (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
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)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 x x))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z z) #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (fma.f64 z z (*.f64 x x)))) (*.f64 x x))
(- (* (pow y 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 z 2)) (* -1 (pow x 2)))) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z z) #s(literal -1/3 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z z) #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (fma.f64 z z (*.f64 x x)))) (*.f64 x x))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
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(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(/ (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) z)
(/.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)
(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(* -1 (/ (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(/.f64 (+.f64 (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))

eval163.0ms (1.6%)

Memory
41.7MiB live, 303.4MiB allocated
Compiler

Compiled 46 927 to 2 510 computations (94.7% saved)

prune148.0ms (1.4%)

Memory
-14.8MiB live, 280.2MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1 053201 073
Fresh6511
Picked325
Done000
Total1 062271 089
Accuracy
100.0%
Counts
1 089 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.2%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
36.1%
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
✓99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
75.0%
(fma.f64 (sin.f64 y) z x)
▶51.1%
(fma.f64 z y x)
49.8%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
▶36.2%
(fma.f64 x (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)) #s(literal 0 binary64))
36.1%
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
52.1%
(fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
67.2%
(fma.f64 x (/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
38.5%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) x))))
36.2%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
▶44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.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))))))))
61.7%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
92.0%
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal -1/2 binary64) (cos.f64 y))))))
49.4%
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
44.4%
(*.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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))
62.0%
(*.f64 (cos.f64 y) x)
▶88.2%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
26.3%
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
39.4%
(*.f64 z (sin.f64 y))
92.7%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
92.0%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
61.6%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓38.5%
x
Compiler

Compiled 1 197 to 666 computations (44.4% saved)

simplify366.0ms (3.5%)

Memory
-12.2MiB live, 636.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.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))))))))
✓cost-diff6656
(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))))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 (cos.f64 y) z)
✓cost-diff0
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓cost-diff640
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓cost-diff0
(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))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(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))
✓cost-diff0
(fma.f64 x (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)) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 z y x)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
Rules
10 286×accelerator-lowering-fma.f32
10 286×accelerator-lowering-fma.f64
3 930×*-lowering-*.f32
3 930×*-lowering-*.f64
1 648×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046331
1129329
2379324
31169324
43019321
55013315
08296291
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))
1
(/ 1 (+ (* z (sin y)) (* x (cos y))))
(+ (* z (sin y)) (* x (cos y)))
z
(sin y)
y
(* x (cos y))
x
(cos y)
(+ (* z y) x)
z
y
x
(+ (* x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)) 0)
x
(+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)
(* y y)
y
(+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)
(+ (* (* y y) -1/720) 1/24)
-1/720
1/24
-1/2
1
0
(* z (+ (* x (/ (cos y) z)) (sin y)))
z
(+ (* x (/ (cos y) z)) (sin y))
x
(/ (cos y) z)
(cos y)
y
(sin y)
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
1
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
(/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(- 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(- 0 (* z z))
0
(* z z)
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))
(* x x)
(+ 1/2 (* 1/2 (cos (+ y y))))
Outputs
(/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (sin y)) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64))))
(+ (* z (sin y)) (* x (cos y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
z
(sin y)
(sin.f64 y)
y
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
(+ (* z y) x)
(fma.f64 z y x)
z
y
x
(+ (* x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)) 0)
(fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* y y)
(*.f64 y y)
y
(+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(+ (* (* y y) -1/720) 1/24)
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(* z (+ (* x (/ (cos y) z)) (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
z
(+ (* x (/ (cos y) z)) (sin y))
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
x
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
y
(sin y)
(sin.f64 y)
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))))
1
#s(literal 1 binary64)
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) #s(literal 0 binary64))))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
(/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 z 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))
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)
(- 0 (* z z))
(fma.f64 z (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* z z)
(fma.f64 z z #s(literal 0 binary64))
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #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))

localize293.0ms (2.8%)

Memory
12.1MiB live, 353.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy88.5%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.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))))))
✓accuracy76.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy53.3%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.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))))))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(/.f64 (cos.f64 y) z)
✓accuracy99.8%
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓accuracy88.4%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓accuracy100.0%
(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))
✓accuracy99.9%
(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))
✓accuracy99.2%
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy98.1%
(fma.f64 x (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)) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy99.9%
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
Samples
82.0ms75×1valid
70.0ms134×0valid
38.0ms42×2valid
8.0ms5×3valid
Compiler

Compiled 326 to 48 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-mult: 59.0ms (36.7% of total)
ival-cos: 27.0ms (16.8% of total)
ival-sin: 20.0ms (12.4% of total)
ival-add: 16.0ms (9.9% of total)
ival-div: 14.0ms (8.7% of total)
const: 10.0ms (6.2% of total)
adjust: 9.0ms (5.6% of total)
ival-sub: 5.0ms (3.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
14.8MiB live, 92.0MiB allocated
Counts
19 → 456
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))>
#<alt (/ 1 (+ (* z (sin y)) (* x (cos y))))>
#<alt (+ (* z (sin y)) (* x (cos y)))>
#<alt (sin y)>
#<alt (+ (* z y) x)>
#<alt (+ (* x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)) 0)>
#<alt (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)>
#<alt (* y y)>
#<alt (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)>
#<alt (* z (+ (* x (/ (cos y) z)) (sin y)))>
#<alt (+ (* x (/ (cos y) z)) (sin y))>
#<alt (/ (cos y) z)>
#<alt (cos y)>
#<alt (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))>
#<alt (/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (* x (cos y))>
#<alt (+ (* (* y y) -1/720) 1/24)>
Outputs
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)>
#<alt (/ 1 (* z (sin y)))>
#<alt (* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<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 (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<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)>
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#<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 (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
Calls

114 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
(+ (* z y) x)
3.0ms
y
@0
(/ 1 (+ (* z (sin y)) (* x (cos y))))
2.0ms
x
@0
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))
1.0ms
x
@0
(+ (* x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)) 0)
1.0ms
y
@-inf
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))

rewrite189.0ms (1.8%)

Memory
-19.0MiB live, 382.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 918×accelerator-lowering-fma.f32
1 918×accelerator-lowering-fma.f64
1 620×*-lowering-*.f32
1 620×*-lowering-*.f64
958×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046180
1315159
02858143
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
19 → 536
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))
(/ 1 (+ (* z (sin y)) (* x (cos y))))
(+ (* z (sin y)) (* x (cos y)))
(sin y)
(+ (* z y) x)
(+ (* x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)) 0)
(+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)
(* y y)
(+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)
(* z (+ (* x (/ (cos y) z)) (sin y)))
(+ (* x (/ (cos y) z)) (sin y))
(/ (cos y) z)
(cos y)
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))
(- 1/2 (* 1/2 (cos (+ y y))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(* x (cos y))
(+ (* (* y y) -1/720) 1/24)
Outputs
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (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 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (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 -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
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(/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))

simplify808.0ms (7.8%)

Memory
-105.9MiB live, 1 012.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 758×accelerator-lowering-fma.f32
7 758×accelerator-lowering-fma.f64
7 162×*-lowering-*.f32
7 162×*-lowering-*.f64
2 848×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06446680
121856511
279056495
082506018
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
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(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
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(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
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(/ 1 (* z (sin y)))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ 1 x)
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(/ 1 (+ (* x (cos y)) (* z (sin y))))
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(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
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(* x (+ (cos y) (/ (* z (sin y)) x)))
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(sin y)
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x
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(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
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x
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(* -1/720 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
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(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))
1
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(* -1/720 (pow y 6))
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(* -1/720 (pow y 4))
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(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (* -1/2 x))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (* -1/2 x))) (* -1 z))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))
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(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
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Outputs
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
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(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
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(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
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(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
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(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
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(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(fma.f64 z (/.f64 (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 z (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/ 1 (* z (sin y)))
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(*.f64 z (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (sin.f64 y) (*.f64 z z))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (neg.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(*.f64 z (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (sin.f64 y) (*.f64 z z))) (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (/.f64 x (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (neg.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(*.f64 z (/.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 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z))) z)))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (-.f64 #s(literal 0 binary64) z))) z)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 y (*.f64 y (fma.f64 x (*.f64 y (*.f64 y #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) y) y)
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) y) y)

eval160.0ms (1.5%)

Memory
-2.7MiB live, 402.4MiB allocated
Compiler

Compiled 30 376 to 2 119 computations (93% saved)

prune130.0ms (1.2%)

Memory
-48.0MiB live, 350.1MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 075271 102
Fresh11920
Picked415
Done022
Total1 090391 129
Accuracy
100.0%
Counts
1 129 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(fma.f64 (/.f64 (cos.f64 y) z) (*.f64 x z) (*.f64 z (sin.f64 y)))
36.1%
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
88.2%
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z (*.f64 z (sin.f64 y)))
✓99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
75.0%
(fma.f64 (sin.f64 y) z x)
✓51.1%
(fma.f64 z y x)
49.8%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
36.2%
(fma.f64 y (*.f64 (*.f64 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))) x) x)
▶36.2%
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
36.2%
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶36.1%
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
52.0%
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
36.2%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
40.4%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))
33.8%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
26.0%
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 x (*.f64 z y)))
26.8%
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
33.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
34.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
16.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))))))
51.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
39.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
61.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
38.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
92.1%
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
61.7%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
48.0%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)))
62.0%
(*.f64 (cos.f64 y) x)
▶88.3%
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
26.3%
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
50.6%
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
32.9%
(*.f64 z (/.f64 x z))
39.4%
(*.f64 z (sin.f64 y))
38.6%
(*.f64 y (+.f64 z (/.f64 x y)))
▶16.5%
(*.f64 y z)
▶92.7%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
46.9%
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
✓38.5%
x
Compiler

Compiled 1 254 to 750 computations (40.2% saved)

simplify654.0ms (6.3%)

Memory
43.0MiB live, 507.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
✓cost-diff640
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
✓cost-diff0
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))))
✓cost-diff64
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
✓cost-diff320
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
✓cost-diff384
(fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 (sin.f64 y) x)
✓cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓cost-diff640
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
Rules
11 310×accelerator-lowering-fma.f32
11 310×accelerator-lowering-fma.f64
5 466×*-lowering-*.f32
5 466×*-lowering-*.f64
2 828×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037208
1112208
2318208
3952198
41687198
52798198
64626198
75379198
85784198
96069198
107170198
117736198
08132180
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* z (/ (sin y) x)) (cos y)))
x
(+ (* z (/ (sin y) x)) (cos y))
z
(/ (sin y) x)
(sin y)
y
(cos y)
(* y z)
y
z
(+ (* x (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)) 0)
x
(+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)
(* y y)
y
(+ (* (* y y) 1/24) -1/2)
1/24
-1/2
1
0
(+ (* y (* y (+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2)))) x)
y
(* y (+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2)))
(+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2))
(* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))
(+ (* x (* (* y y) -1/720)) (* x 1/24))
x
(* (* y y) -1/720)
(* y y)
-1/720
(* x 1/24)
1/24
(* x -1/2)
-1/2
(* z (+ (* (cos y) (/ x z)) (sin y)))
z
(+ (* (cos y) (/ x z)) (sin y))
(cos y)
y
(/ x z)
x
(sin y)
Outputs
(* x (+ (* z (/ (sin y) x)) (cos y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
x
(+ (* z (/ (sin y) x)) (cos y))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
y
(cos y)
(cos.f64 y)
(* y z)
(*.f64 z y)
y
z
(+ (* x (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)) 0)
(fma.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* y y)
(*.f64 y y)
y
(+ (* (* y y) 1/24) -1/2)
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(+ (* y (* y (+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2)))) x)
(fma.f64 (*.f64 y y) (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64)) x)
y
(* y (+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2)))
(fma.f64 y (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2))
(fma.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 0 binary64))
(+ (* x (* (* y y) -1/720)) (* x 1/24))
(fma.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 0 binary64))
x
(* (* y y) -1/720)
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* y y)
(*.f64 y y)
-1/720
#s(literal -1/720 binary64)
(* x 1/24)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 0 binary64))
1/24
#s(literal 1/24 binary64)
(* x -1/2)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(* z (+ (* (cos y) (/ x z)) (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
z
(+ (* (cos y) (/ x z)) (sin y))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(cos y)
(cos.f64 y)
y
(/ x z)
(/.f64 x z)
x
(sin y)
(sin.f64 y)

localize164.0ms (1.6%)

Memory
-8.9MiB live, 231.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
✓accuracy88.4%
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
✓accuracy99.8%
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
✓accuracy99.1%
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
✓accuracy91.5%
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.9%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.6%
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓accuracy97.0%
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓accuracy99.8%
(/.f64 (sin.f64 y) x)
✓accuracy92.8%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
Samples
98.0ms256×0valid
Compiler

Compiled 203 to 39 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-add: 28.0ms (35.5% of total)
ival-mult: 26.0ms (33% of total)
ival-sin: 7.0ms (8.9% of total)
ival-cos: 7.0ms (8.9% of total)
const: 7.0ms (8.9% of total)
ival-div: 4.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-19.2MiB live, 58.1MiB allocated
Counts
19 → 420
Calls
Call 1
Inputs
#<alt (* x (+ (* z (/ (sin y) x)) (cos y)))>
#<alt (+ (* z (/ (sin y) x)) (cos y))>
#<alt (/ (sin y) x)>
#<alt (sin y)>
#<alt (* y z)>
#<alt (+ (* x (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)) 0)>
#<alt (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)>
#<alt (* y y)>
#<alt (+ (* (* y y) 1/24) -1/2)>
#<alt (+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2))>
#<alt (+ (* x (* (* y y) -1/720)) (* x 1/24))>
#<alt (+ (* y (* y (+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2)))) x)>
#<alt (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))>
#<alt (* z (+ (* (cos y) (/ x z)) (sin y)))>
#<alt (+ (* (cos y) (/ x z)) (sin y))>
#<alt (cos y)>
#<alt (/ x z)>
#<alt (* (* y y) -1/720)>
#<alt (* x 1/24)>
Outputs
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (* 1/24 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<alt (* 1/24 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<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) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* 1/24 (pow y 4))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 4))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 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 -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))>
#<alt (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))>
#<alt (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))>
#<alt (* -1/720 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* -1/720 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))>
#<alt (* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))>
#<alt (* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))>
#<alt (* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))>
#<alt (* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))>
#<alt (* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))>
#<alt (* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))>
#<alt (* 1/24 x)>
#<alt (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))>
#<alt (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))>
#<alt (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))>
#<alt (* -1/720 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* -1/720 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1)))>
#<alt (* 1/24 (* x y))>
#<alt (* y (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))>
#<alt (* y (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))>
#<alt (* y (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))>
#<alt (* -1/720 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* -1/720 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/24 (/ x (pow y 2))) (* 1/720 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/24 (/ x (pow y 2))) (* 1/720 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/24 (/ x (pow y 2))) (* 1/720 x))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* x (* y (+ 1/24 (* -1/720 (pow y 2)))))>
#<alt (* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))>
#<alt (* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))>
#<alt (* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))>
#<alt (* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (/ x z)>
#<alt (+ y (/ x z))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* x (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* x (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (/ (* x (cos y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<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 z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
Calls

105 calls:

TimeVariablePointExpression
3.0ms
z
@0
(+ (* z (/ (sin y) x)) (cos y))
1.0ms
x
@0
(+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2))
1.0ms
x
@inf
(+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2))
1.0ms
x
@0
(+ (* x (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)) 0)
1.0ms
x
@0
(* x (+ (* z (/ (sin y) x)) (cos y)))

rewrite497.0ms (4.8%)

Memory
19.4MiB live, 724.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 610×accelerator-lowering-fma.f32
5 610×accelerator-lowering-fma.f64
4 386×*-lowering-*.f32
4 386×*-lowering-*.f64
3 982×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037160
1226160
21961160
08125144
Stop Event
1×iter limit
1×node limit
Counts
19 → 629
Calls
Call 1
Inputs
(* x (+ (* z (/ (sin y) x)) (cos y)))
(+ (* z (/ (sin y) x)) (cos y))
(/ (sin y) x)
(sin y)
(* y z)
(+ (* x (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)) 0)
(+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1)
(* y y)
(+ (* (* y y) 1/24) -1/2)
(+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2))
(+ (* x (* (* y y) -1/720)) (* x 1/24))
(+ (* y (* y (+ (* y (* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))) (* x -1/2)))) x)
(* y (+ (* x (* (* y y) -1/720)) (* x 1/24)))
(* z (+ (* (cos y) (/ x z)) (sin y)))
(+ (* (cos y) (/ x z)) (sin y))
(cos y)
(/ x z)
(* (* y y) -1/720)
(* x 1/24)
Outputs
(+.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) (*.f64 x (cos.f64 y)))))
(fma.f64 x (/.f64 (*.f64 z (sin.f64 y)) x) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x))
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) x) x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) x (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (/.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x z) (/.f64 (sin.f64 y) x) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (/.f64 x x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (*.f64 x (-.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) x) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (sin.f64 y)) z))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (sin.f64 y)) z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z)))) (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (*.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))))) (neg.f64 (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(/.f64 x z)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 y (*.f64 y #s(literal -1/720 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal -1/720 binary64)) y)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

simplify465.0ms (4.5%)

Memory
35.4MiB live, 936.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 342×accelerator-lowering-fma.f32
11 342×accelerator-lowering-fma.f64
4 042×+-lowering-+.f64
4 042×+-lowering-+.f32
4 024×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293772
17443676
221473558
343183524
479653524
081513221
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* z (sin y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/24 (* x (pow y 2))))
(+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))
(+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))
(* -1/720 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* -1/720 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* x (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))
(* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))
(* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))
(* -1 (* x (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* x (+ 1/24 (* -1/720 (pow y 2))))
(* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))
(* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))
(* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))
(* -1 (* x (- (* 1/720 (pow y 2)) 1/24)))
(* 1/24 x)
(+ (* -1/720 (* x (pow y 2))) (* 1/24 x))
(+ (* -1/720 (* x (pow y 2))) (* 1/24 x))
(+ (* -1/720 (* x (pow y 2))) (* 1/24 x))
(* -1/720 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* -1/720 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* -1/720 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/720 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1)))
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(* -1 (* x (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1)))
(* 1/24 (* x y))
(* y (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))
(* y (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))
(* y (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))
(* -1/720 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* -1/720 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/24 (/ x (pow y 2))) (* 1/720 x))))
(* -1 (* (pow y 3) (+ (* -1/24 (/ x (pow y 2))) (* 1/720 x))))
(* -1 (* (pow y 3) (+ (* -1/24 (/ x (pow y 2))) (* 1/720 x))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* x (* y (+ 1/24 (* -1/720 (pow y 2)))))
(* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))
(* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))
(* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))
(* -1 (* x (* y (- (* 1/720 (pow y 2)) 1/24))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(/ x z)
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(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(/ (* x (cos y)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/ (* z (sin y)) x)
(*.f64 z (/.f64 (sin.f64 y) x))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/ (* z (sin y)) x)
(*.f64 z (/.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (/ (* y z) x))
(fma.f64 z (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 z x)) #s(literal 1 binary64))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/ (* z (sin y)) x)
(*.f64 z (/.f64 (sin.f64 y) x))
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) x)
(cos y)
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(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
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(/ (sin y) x)
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(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
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(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #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)
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(sin.f64 y)
(sin y)
(sin.f64 y)
(* y z)
(*.f64 z y)
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(*.f64 z y)
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(*.f64 z y)
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(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

eval196.0ms (1.9%)

Memory
-15.3MiB live, 398.6MiB allocated
Compiler

Compiled 34 723 to 2 253 computations (93.5% saved)

prune158.0ms (1.5%)

Memory
1.3MiB live, 406.7MiB allocated
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New1 096151 111
Fresh42731
Picked235
Done033
Total1 102481 150
Accuracy
100.0%
Counts
1 150 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y y)) x)
88.3%
(fma.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z (*.f64 z (sin.f64 y)))
77.3%
(fma.f64 (/.f64 (cos.f64 y) z) (*.f64 x z) (*.f64 z (sin.f64 y)))
88.3%
(fma.f64 (/.f64 x z) (*.f64 (cos.f64 y) z) (*.f64 z (sin.f64 y)))
36.1%
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
✓99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
75.0%
(fma.f64 (sin.f64 y) z x)
✓51.1%
(fma.f64 z y x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
36.2%
(fma.f64 y (*.f64 (*.f64 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))) x) x)
36.2%
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/720 binary64))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
35.4%
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) x) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 x #s(literal -1/2 binary64)))) x)
36.2%
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y y)))))) x)
36.3%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
36.2%
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
52.0%
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
36.2%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
33.8%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
26.0%
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 x (*.f64 z y)))
26.8%
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
33.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
16.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))))))
53.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)))
51.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
39.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
61.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
38.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
92.1%
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
61.7%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
48.0%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)))
62.0%
(*.f64 (cos.f64 y) x)
✓88.3%
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
52.0%
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) y))
26.3%
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
50.6%
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
32.9%
(*.f64 z (/.f64 x z))
39.4%
(*.f64 z (sin.f64 y))
38.6%
(*.f64 y (+.f64 z (/.f64 x y)))
✓16.5%
(*.f64 y z)
92.7%
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
90.1%
(*.f64 x (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (cos.f64 y)))
✓92.7%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
67.9%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
49.5%
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
46.9%
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
32.3%
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))
3.1%
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
✓38.5%
x
Compiler

Compiled 2 197 to 756 computations (65.6% saved)

regimes98.0ms (0.9%)

Memory
15.2MiB live, 206.1MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y y)))))) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (*.f64 (*.f64 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))) x) x)
(fma.f64 x (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)) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 x (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/720 binary64))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) x) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) z x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
(*.f64 x (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (cos.f64 y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z (*.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (*.f64 (cos.f64 y) z) (*.f64 z (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) (*.f64 x z) (*.f64 z (sin.f64 y)))
(fma.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z (*.f64 z (sin.f64 y)))
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) 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 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.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 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(fma.f64 x (/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal -1/2 binary64) (cos.f64 y))))))
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

28.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.0ms
z
22.0ms
x
21.0ms
y
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes56.0ms (0.5%)

Memory
-9.4MiB live, 112.3MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y y)))))) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (*.f64 (*.f64 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))) x) x)
(fma.f64 x (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)) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 x (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/720 binary64))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) x) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) z x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
Outputs
(fma.f64 (sin.f64 y) z x)
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z x)
Calls

4 calls:

16.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms
x
13.0ms
z
12.0ms
y
Results
AccuracySegmentsBranch
86.3%3x
77.8%2y
86.5%3z
75.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes33.0ms (0.3%)

Memory
-8.6MiB live, 72.4MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y y)))))) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (*.f64 (*.f64 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))) x) x)
(fma.f64 x (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)) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 x (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/720 binary64))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) x) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
Outputs
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

11.0ms
y
11.0ms
z
10.0ms
x
Results
AccuracySegmentsBranch
77.4%4y
78.4%3x
76.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.4%)

Memory
11.0MiB live, 88.9MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y y)))))) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (*.f64 (*.f64 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))) x) x)
(fma.f64 x (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)) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 x (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/720 binary64))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) x) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 z (sin.f64 y))
Outputs
(*.f64 z (sin.f64 y))
(fma.f64 z y x)
(*.f64 z (sin.f64 y))
Calls

4 calls:

10.0ms
z
10.0ms
x
9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
y
Results
AccuracySegmentsBranch
73.0%3y
58.9%3z
54.3%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
59.7%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes41.0ms (0.4%)

Memory
-24.9MiB live, 69.5MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y y)))))) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (*.f64 (*.f64 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))) x) x)
(fma.f64 x (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)) #s(literal 0 binary64))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 x (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/720 binary64))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) x) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 x #s(literal -1/2 binary64)))) x)
Outputs
(fma.f64 z y x)
Calls

4 calls:

12.0ms
z
10.0ms
y
9.0ms
x
9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
51.1%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.1%1z
51.1%1x
51.1%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
-17.0MiB live, 21.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
Outputs
(*.f64 y z)
x
(*.f64 y z)
Calls

4 calls:

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

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
38.5%1x
38.5%1z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch34.0ms (0.3%)

Memory
11.2MiB live, 48.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.3244483998258763e-102
6.394375758781695e-102
20.0ms
-2.0029394278892767e-66
-2.5449389017933187e-73
Samples
24.0ms240×0valid
Compiler

Compiled 270 to 194 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (33.1% of total)
ival-sin: 5.0ms (33.1% of total)
ival-mult: 3.0ms (19.8% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Memory
-15.5MiB live, 67.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
5.670075967112853e-171
3.2444898633998123e-152
17.0ms
-1.8393238389854132e-25
-5.183180975134574e-29
Samples
52.0ms288×0valid
Compiler

Compiled 303 to 230 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 29.0ms (67.7% of total)
ival-cos: 6.0ms (14% of total)
ival-sin: 6.0ms (14% of total)
ival-add: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
140759759994599540.0
179815274459869950.0
12.0ms
-9.355658582700149e-8
-1.2228244925720576e-10
Samples
13.0ms176×0valid
Compiler

Compiled 191 to 135 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (34.6% of total)
ival-sin: 3.0ms (34.6% of total)
ival-mult: 2.0ms (23.1% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory
2.2MiB live, 41.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.3759771885891752e+135
3.2168722242950104e+135
32.0ms
-1.3589850850824674e+188
-9.661836917541632e+180
Samples
34.0ms224×0valid
Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 18.0ms (62.9% of total)
ival-cos: 5.0ms (17.5% of total)
ival-sin: 5.0ms (17.5% of total)
ival-add: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-23.0MiB live, 14.8MiB allocated
Algorithm
1×egg-herbie
Rules
8×if-if-or-not_binary32
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03678
15178
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (*.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 142000000000000000 binary64)) (fma.f64 z y x) (*.f64 z (sin.f64 y))))
(fma.f64 z y x)
(if (<=.f64 z #s(literal -104999999999999994982143288792714811882063224442463344142948941922996261115626612616509578017578078717581635748156294822113132563709888191384413171573953918825358813051476875438718976 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 3199999999999999748742516789462378080241594475935118768140003553595145651445130383131432371684642861697579662650811055697037437790322688 binary64)) x (*.f64 y z)))
x
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (*.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 142000000000000000 binary64)) (fma.f64 z y x) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (*.f64 (sin.f64 y) z) (if (<=.f64 y #s(literal 142000000000000000 binary64)) (fma.f64 z y x) (*.f64 (sin.f64 y) z)))
(fma.f64 z y x)
(if (<=.f64 z #s(literal -104999999999999994982143288792714811882063224442463344142948941922996261115626612616509578017578078717581635748156294822113132563709888191384413171573953918825358813051476875438718976 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 3199999999999999748742516789462378080241594475935118768140003553595145651445130383131432371684642861697579662650811055697037437790322688 binary64)) x (*.f64 y z)))
x

soundness1.0s (9.9%)

Memory
27.8MiB live, 587.3MiB allocated
Rules
14 080×accelerator-lowering-fma.f32
14 080×accelerator-lowering-fma.f64
11 480×accelerator-lowering-fma.f32
11 480×accelerator-lowering-fma.f64
7 758×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105411241
1377711068
0887610654
06446680
121856511
279056495
082506018
032192
1233137
02380135
093620
1295616
2892610
32078604
43746604
56389604
08805554
0819
12419
218019
3185319
0839518
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 224 to 122 computations (45.5% saved)

preprocess131.0ms (1.3%)

Memory
-9.5MiB live, 69.2MiB allocated
Compiler

Compiled 210 to 86 computations (59% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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