Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B

Time bar (total: 11.9s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (12%)

Memory
10.6MiB live, 1 399.1MiB allocated
Samples
1.2s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 671.0ms
ival-cos: 287.0ms (42.8% of total)
ival-sin: 182.0ms (27.1% of total)
ival-mult: 83.0ms (12.4% of total)
ival-sub: 62.0ms (9.2% of total)
ival-add: 46.0ms (6.9% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess80.0ms (0.7%)

Memory
-33.6MiB live, 60.3MiB allocated
Algorithm
egg-herbie
Rules
400×accelerator-lowering-fma.f32
400×accelerator-lowering-fma.f64
392×sub-neg
382×cancel-sign-sub-inv
318×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03699
110593
225992
360992
4122092
5164692
6194492
7220592
8222892
089
1179
2379
3619
4929
51459
62579
73899
84729
95209
105509
05509
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (+ x (cos y)) (* z (sin y)))
Outputs
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) x))
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)))
(- (- (cos y) x) (* z (sin 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))))
(+ (* z (sin y)) (- x (cos y)))
(neg (- (+ x (cos (neg y))) (* z (sin (neg y)))))
(- (* (sin y) (neg z)) (+ x (cos y)))
(neg (- (+ x (cos y)) (* (neg z) (sin y))))
(- (* (sin y) (neg z)) (+ 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)))

explain142.0ms (1.2%)

Memory
-0.9MiB live, 198.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (cos.f64 y))
00-0-(sin.f64 y)
00-0-y
00-0-z
00-0-(cos.f64 y)
00-0-(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
50.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 12.0ms (36.1% of total)
ival-cos: 11.0ms (33.1% of total)
ival-add: 4.0ms (12% of total)
ival-mult: 4.0ms (12% of total)
ival-sub: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify34.0ms (0.3%)

Memory
6.4MiB live, 45.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 x (cos.f64 y))
cost-diff0
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
400×accelerator-lowering-fma.f32
400×accelerator-lowering-fma.f64
160×*-lowering-*.f32
160×*-lowering-*.f64
120×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11724
23724
36124
49224
514524
625724
738924
847224
952024
1055024
055024
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
Outputs
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) x))
(+ x (cos y))
(+.f64 x (cos.f64 y))
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)

localize37.0ms (0.3%)

Memory
10.8MiB live, 52.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
29.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (39.5% of total)
ival-sin: 5.0ms (32.9% of total)
ival-mult: 2.0ms (13.2% of total)
ival-sub: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (cos y)>
#<alt (sin y)>
#<alt (* z (sin y))>
Outputs
#<alt (- (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>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (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

27 calls:

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

rewrite555.0ms (4.7%)

Memory
-0.3MiB live, 523.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 620×*-lowering-*.f32
4 620×*-lowering-*.f64
4 548×accelerator-lowering-fma.f32
4 548×accelerator-lowering-fma.f64
2 418×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
14221
238321
3563621
0823021
Stop Event
iter limit
node limit
Counts
5 → 188
Calls
Call 1
Inputs
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(cos y)
(sin y)
(* z (sin y))
Outputs
(+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) x)
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))))
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
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(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 x (cos.f64 y))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))))
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y)))))
(cos.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

simplify644.0ms (5.4%)

Memory
-14.3MiB live, 585.8MiB allocated
Algorithm
egg-herbie
Rules
12 396×accelerator-lowering-fma.f32
12 396×accelerator-lowering-fma.f64
3 376×*-lowering-*.f32
3 376×*-lowering-*.f64
2 858×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118674
1334669
2866661
32597657
45302657
57440657
08079629
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 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 (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (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
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1/2 (pow y 2))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 x (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)))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* 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 y z #s(literal 0 binary64))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 y z #s(literal 0 binary64)) (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 (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* 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))

eval54.0ms (0.5%)

Memory
-5.2MiB live, 110.0MiB allocated
Compiler

Compiled 7 604 to 632 computations (91.7% saved)

prune42.0ms (0.4%)

Memory
11.3MiB live, 130.5MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New28313296
Fresh000
Picked101
Done000
Total28413297
Accuracy
100.0%
Counts
297 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
55.3%
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))))
53.7%
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
54.1%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
65.3%
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y))))) (*.f64 z (sin.f64 y)))
58.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
63.0%
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
69.6%
(-.f64 x (*.f64 z (sin.f64 y)))
71.9%
(+.f64 (cos.f64 y) x)
60.9%
(+.f64 x #s(literal 1 binary64))
53.6%
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
42.6%
x
Compiler

Compiled 466 to 284 computations (39.1% saved)

simplify613.0ms (5.2%)

Memory
23.5MiB live, 1 134.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
cost-diff192
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff384
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
cost-diff6592
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 y))))))
cost-diff-64
(*.f64 z (sin.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(-.f64 x (*.f64 z (sin.f64 y)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
cost-diff0
(-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z)
cost-diff0
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))
cost-diff0
(+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))))
Rules
26 266×accelerator-lowering-fma.f32
26 266×accelerator-lowering-fma.f64
4 104×*-lowering-*.f32
4 104×*-lowering-*.f64
2 158×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035219
188214
2212213
3697213
41964209
54311207
66730207
08294195
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y)))))
1
(/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y))))
(+ x (+ (* z (- 0 (sin y))) (cos y)))
x
(+ (* z (- 0 (sin y))) (cos y))
z
(- 0 (sin y))
0
(sin y)
y
(cos y)
x
(+ (* y (- (+ (* y -1/2) 0) z)) (+ x 1))
y
(- (+ (* y -1/2) 0) z)
(+ (* y -1/2) 0)
-1/2
0
z
(+ x 1)
x
1
(- x (* z (sin y)))
x
(* z (sin y))
z
(sin y)
y
(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
(- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
(+ (* 1/2 (cos (+ y y))) 1/2)
1/2
(cos (+ y y))
(+ y y)
y
(* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))
(* z z)
z
(- 1/2 (* 1/2 (cos (+ y y))))
(* 1/2 (cos (+ y y)))
(/ 1 (+ (* z (sin y)) (cos y)))
1
(+ (* z (sin y)) (cos y))
(sin y)
(cos y)
x
Outputs
(/ 1 (/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y)))))
(-.f64 x (fma.f64 z (sin.f64 y) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
1
#s(literal 1 binary64)
(/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y))))
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (sin.f64 y) (-.f64 #s(literal 0 binary64) (cos.f64 y)))))
(+ x (+ (* z (- 0 (sin y))) (cos y)))
(-.f64 x (fma.f64 z (sin.f64 y) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
x
(+ (* z (- 0 (sin y))) (cos y))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))
z
(- 0 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
0
#s(literal 0 binary64)
(sin y)
(sin.f64 y)
y
(cos y)
(cos.f64 y)
x
(+ (* y (- (+ (* y -1/2) 0) z)) (+ x 1))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 #s(literal 1 binary64) x))
y
(- (+ (* y -1/2) 0) z)
(-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z)
(+ (* y -1/2) 0)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
0
#s(literal 0 binary64)
z
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) x)
x
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
y
(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64))) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (cos (+ y y))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))
(fma.f64 (fma.f64 z z #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))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(* 1/2 (cos (+ y y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64))
(/ 1 (+ (* z (sin y)) (cos y)))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))
1
#s(literal 1 binary64)
(+ (* z (sin y)) (cos y))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(sin y)
(sin.f64 y)
(cos y)
(cos.f64 y)
x

localize231.0ms (1.9%)

Memory
-6.1MiB live, 401.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
accuracy91.2%
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy85.1%
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
accuracy76.9%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(-.f64 x (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy100.0%
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
accuracy100.0%
(-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))))
Samples
53.0ms65×1valid
47.0ms60×2valid
46.0ms131×0valid
Compiler

Compiled 221 to 37 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-cos: 28.0ms (25.9% of total)
ival-mult: 21.0ms (19.4% of total)
ival-add: 15.0ms (13.9% of total)
ival-sin: 14.0ms (12.9% of total)
adjust: 10.0ms (9.2% of total)
ival-div: 10.0ms (9.2% of total)
ival-sub: 9.0ms (8.3% of total)
exact: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
-23.2MiB live, 92.4MiB allocated
Counts
17 → 408
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y)))))>
#<alt (/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y))))>
#<alt (+ x (+ (* z (- 0 (sin y))) (cos y)))>
#<alt (+ (* z (- 0 (sin y))) (cos y))>
#<alt (+ (* y (- (+ (* y -1/2) 0) z)) (+ x 1))>
#<alt (- (+ (* y -1/2) 0) z)>
#<alt (+ (* y -1/2) 0)>
#<alt (+ x 1)>
#<alt (- x (* z (sin y)))>
#<alt (sin y)>
#<alt (* z (sin y))>
#<alt (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))>
#<alt (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (+ (* 1/2 (cos (+ y y))) 1/2)>
#<alt (cos y)>
#<alt (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))>
Outputs
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (/ 1 (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))>
#<alt (/ 1 (+ x (cos y)))>
#<alt (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)>
#<alt (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (cos y) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (cos y) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (cos y) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* y (+ (* -1 z) (* -1/2 y))))>
#<alt (+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))>
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))>
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))>
#<alt (+ 1 (* y (- (* -1/2 y) z)))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))>
#<alt (* -1 z)>
#<alt (- (* -1/2 y) z)>
#<alt (- (* -1/2 y) z)>
#<alt (- (* -1/2 y) z)>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1 (/ z y)) 1/2))>
#<alt (* y (- (* -1 (/ z y)) 1/2))>
#<alt (* y (- (* -1 (/ z y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (/ z y))))>
#<alt (* -1 (* y (+ 1/2 (/ z y))))>
#<alt (* -1 (* y (+ 1/2 (/ z y))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1 z) (* -1/2 y))>
#<alt (+ (* -1 z) (* -1/2 y))>
#<alt (+ (* -1 z) (* -1/2 y))>
#<alt (* -1 z)>
#<alt (* z (- (* -1/2 (/ y z)) 1))>
#<alt (* z (- (* -1/2 (/ y z)) 1))>
#<alt (* z (- (* -1/2 (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (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))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow y 2) (+ 1 (pow z 2)))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- 1/3 (* -1/3 (pow z 2)))) (+ 1 (pow z 2)))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (pow z 2)))))) (* -1/3 (pow z 2)))) (+ 1 (pow z 2)))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))))>
#<alt (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (* 1/2 (- 1/2 (* -1 (pow z 2))))) (pow z 2)))))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (+ (* 1/2 (- 1/2 (* -1 (pow z 2)))) (* y (+ (* -1/2 (+ (* -1 (* z (+ 3/2 (* -1 (pow z 2))))) (+ (* -1/6 z) (* 1/2 z)))) (+ (* -1/2 (+ (* -1/6 z) (+ (* 1/2 z) (* z (- 1/2 (* -1 (pow z 2))))))) (pow z 3)))))) (pow z 2)))))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* z (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))) (+ (* -1/2 (/ (pow (sin y) 3) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (cos y) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt x>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (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 (* (pow z 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 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 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 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 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 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 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 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))>
#<alt (* (pow z 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 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
Calls

102 calls:

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

rewrite145.0ms (1.2%)

Memory
8.6MiB live, 327.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 530×accelerator-lowering-fma.f32
1 530×accelerator-lowering-fma.f64
1 228×*-lowering-*.f32
1 228×*-lowering-*.f64
938×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035156
1264119
02482116
Stop Event
iter limit
iter limit
node limit
Counts
17 → 394
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y)))))
(/ 1 (+ x (+ (* z (- 0 (sin y))) (cos y))))
(+ x (+ (* z (- 0 (sin y))) (cos y)))
(+ (* z (- 0 (sin y))) (cos y))
(+ (* y (- (+ (* y -1/2) 0) z)) (+ x 1))
(- (+ (* y -1/2) 0) z)
(+ (* y -1/2) 0)
(+ x 1)
(- x (* z (sin y)))
(sin y)
(* z (sin y))
(- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
(- 1/2 (* 1/2 (cos (+ y y))))
(+ (* 1/2 (cos (+ y y))) 1/2)
(cos y)
(* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))
Outputs
(+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))
(+.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))))
(+.f64 x (*.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) x)
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))) x)
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(+.f64 (*.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(+.f64 (+.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))
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(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 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))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 1/4 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cos.f64 y)
(+.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64))) (*.f64 z z)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64))) (*.f64 z z)))
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64))) (*.f64 z 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 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z))
(*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) z)
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)

simplify467.0ms (3.9%)

Memory
-9.7MiB live, 871.5MiB allocated
Algorithm
egg-herbie
Rules
9 006×accelerator-lowering-fma.f32
9 006×accelerator-lowering-fma.f64
5 376×*-lowering-*.f32
5 376×*-lowering-*.f64
4 574×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06936128
121985865
272705807
080725472
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(+ 1 x)
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(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ (cos y) (* -1 (* z (sin y)))))
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x)
(/ 1 x)
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(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
(/ 1 (+ x (cos y)))
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(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
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(/ 1 (+ 1 x))
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(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(+ 1 x)
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(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(cos y)
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(* -1 (* z (sin y)))
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(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))
1
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x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
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(- (* -1/2 y) z)
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1
(+ 1 x)
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(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
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x
(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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x
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
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x
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
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x
(+ x (* -1 (* z (sin y))))
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x
(+ x (* -1 (* y z)))
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(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
y
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(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (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))
1
(+ 1 (* -1 (* (pow y 2) (+ 1 (pow z 2)))))
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(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (pow z 2)))))) (* -1/3 (pow z 2)))) (+ 1 (pow z 2)))))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
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(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
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(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
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(+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))))))))
(+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))))) (* 1/2 (/ 1 (cos y)))))))))))
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(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y)))))
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(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
x
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
x
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(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))))
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(- 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))))
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(+ 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 (* -1/2 (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)
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
Outputs
(+ (cos y) (* -1 (* z (sin y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x)
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x)
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x)
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))
(+ x (cos y))
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(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
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(* -1 (* z (sin y)))
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(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
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(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z))
(+ 1 x)
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(+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (+.f64 x #s(literal 1 binary64)))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/ 1 (+ (cos y) (* -1 (* z (sin y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
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(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 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(*.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 z z))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) (*.f64 z z)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)))) (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (*.f64 z z)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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)))))
(*.f64 (*.f64 z z) (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 (neg (* -2 y))))))
(*.f64 (*.f64 z z) (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 (neg (* -2 y))))))
(*.f64 (*.f64 z z) (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 (neg (* -2 y))))))
(*.f64 (*.f64 z z) (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 (neg (* -2 y))))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))

eval137.0ms (1.2%)

Memory
41.1MiB live, 189.6MiB allocated
Compiler

Compiled 19 975 to 1 860 computations (90.7% saved)

prune104.0ms (0.9%)

Memory
-30.4MiB live, 203.2MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New83415849
Fresh358
Picked325
Done000
Total84022862
Accuracy
100.0%
Counts
862 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.5%
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
46.4%
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
28.3%
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
37.5%
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
59.2%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
28.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
65.3%
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y))))) (*.f64 z (sin.f64 y)))
58.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
63.0%
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
36.2%
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
69.6%
(-.f64 x (*.f64 z (sin.f64 y)))
44.4%
(-.f64 x (*.f64 z y))
71.9%
(+.f64 (cos.f64 y) x)
60.9%
(+.f64 x #s(literal 1 binary64))
62.2%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
58.3%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))) #s(literal -1/2 binary64)))
88.2%
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z))
20.9%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
6.6%
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
62.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
2.9%
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
42.6%
x
Compiler

Compiled 653 to 411 computations (37.1% saved)

simplify177.0ms (1.5%)

Memory
4.5MiB live, 247.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 z (sin.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
cost-diff1216
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
cost-diff0
(/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff-64
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
cost-diff0
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 (cos.f64 y) x) z)
cost-diff0
(sin.f64 y)
cost-diff0
(-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))
cost-diff832
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z))
Rules
3 528×accelerator-lowering-fma.f32
3 528×accelerator-lowering-fma.f64
1 790×*-lowering-*.f32
1 790×*-lowering-*.f64
1 254×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028153
158152
2125152
3296152
4668149
51467149
62817149
76320149
08210142
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- (sin y) (/ (+ (cos y) x) z)) (- 0 z))
(- (sin y) (/ (+ (cos y) x) z))
(sin y)
y
(/ (+ (cos y) x) z)
(+ (cos y) x)
(cos y)
x
z
(- 0 z)
0
(+ x 1)
x
1
(+ (* y (- (* y -1/2) z)) 1)
y
(- (* y -1/2) z)
(* y -1/2)
-1/2
z
1
(/ 1 (+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1))))
1
(+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1)))
y
(/ z (* (+ x 1) (+ x 1)))
z
(* (+ x 1) (+ x 1))
(+ x 1)
x
(/ 1 (+ x 1))
(/ 1 (/ -1 (* z (sin y))))
1
(/ -1 (* z (sin y)))
-1
(* z (sin y))
z
(sin y)
y
Outputs
(* (- (sin y) (/ (+ (cos y) x) z)) (- 0 z))
(-.f64 x (fma.f64 (sin.f64 y) z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(- (sin y) (/ (+ (cos y) x) z))
(-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))
(sin y)
(sin.f64 y)
y
(/ (+ (cos y) x) z)
(/.f64 (+.f64 (cos.f64 y) x) z)
(+ (cos y) x)
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
x
z
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(+ (* y (- (* y -1/2) z)) 1)
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64)))
y
(- (* y -1/2) z)
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) z))
(* y -1/2)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
z
1
#s(literal 1 binary64)
(/ 1 (+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1)))
(fma.f64 y (/.f64 z (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
y
(/ z (* (+ x 1) (+ x 1)))
(/.f64 z (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
z
(* (+ x 1) (+ x 1))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
(/ 1 (+ x 1))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/ 1 (/ -1 (* z (sin y))))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(* z (sin y))
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
y

localize106.0ms (0.9%)

Memory
15.6MiB live, 165.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
accuracy96.6%
(fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy93.3%
(/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
accuracy100.0%
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
accuracy100.0%
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(/.f64 (+.f64 (cos.f64 y) x) z)
accuracy88.1%
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z))
Samples
63.0ms256×0valid
Compiler

Compiled 156 to 30 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 9.0ms (21.5% of total)
ival-mult: 9.0ms (21.5% of total)
ival-add: 8.0ms (19.1% of total)
ival-sin: 7.0ms (16.7% of total)
ival-cos: 5.0ms (11.9% of total)
ival-sub: 3.0ms (7.2% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
-1.3MiB live, 74.7MiB allocated
Counts
16 → 384
Calls
Call 1
Inputs
#<alt (* (- (sin y) (/ (+ (cos y) x) z)) (- 0 z))>
#<alt (- (sin y) (/ (+ (cos y) x) z))>
#<alt (sin y)>
#<alt (/ (+ (cos y) x) z)>
#<alt (+ x 1)>
#<alt (+ (* y (- (* y -1/2) z)) 1)>
#<alt (- (* y -1/2) z)>
#<alt (* y -1/2)>
#<alt (* (+ x 1) (+ x 1))>
#<alt (/ 1 (+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1))))>
#<alt (+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1)))>
#<alt (/ z (* (+ x 1) (+ x 1)))>
#<alt (/ 1 (/ -1 (* z (sin y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (cos y)>
Outputs
#<alt (* z (+ (/ 1 z) (/ x z)))>
#<alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))>
#<alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))>
#<alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))>
#<alt (* -1 (* z (- (sin y) (/ (cos y) z))))>
#<alt (+ x (* -1 (* z (- (sin y) (/ (cos y) z)))))>
#<alt (+ x (* -1 (* z (- (sin y) (/ (cos y) z)))))>
#<alt (+ x (* -1 (* z (- (sin y) (/ (cos y) z)))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* z (- (sin y) (/ (cos y) z))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (- (sin y) (/ (cos y) z))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (- (sin y) (/ (cos y) z))) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* z (- (sin y) (/ (cos y) z))) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (- (sin y) (/ (cos y) z))) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (- (sin y) (/ (cos y) z))) x) 1)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* -1 (* z (sin y)))>
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#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
Calls

96 calls:

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

rewrite435.0ms (3.7%)

Memory
9.4MiB live, 704.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 714×/-lowering-/.f32
4 714×/-lowering-/.f64
4 650×accelerator-lowering-fma.f32
4 650×accelerator-lowering-fma.f64
4 264×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028111
1177110
21593110
08631105
Stop Event
iter limit
node limit
Counts
16 → 760
Calls
Call 1
Inputs
(* (- (sin y) (/ (+ (cos y) x) z)) (- 0 z))
(- (sin y) (/ (+ (cos y) x) z))
(sin y)
(/ (+ (cos y) x) z)
(+ x 1)
(+ (* y (- (* y -1/2) z)) 1)
(- (* y -1/2) z)
(* y -1/2)
(* (+ x 1) (+ x 1))
(/ 1 (+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1))))
(+ (* y (/ z (* (+ x 1) (+ x 1)))) (/ 1 (+ x 1)))
(/ z (* (+ x 1) (+ x 1)))
(/ 1 (/ -1 (* z (sin y))))
(/ -1 (* z (sin y)))
(* z (sin y))
(cos y)
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) #s(literal 0 binary64)) (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (sin.f64 y) (/.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (sin.f64 y) (/.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 z (/.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 z (/.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) #s(literal 0 binary64) (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 #s(literal 0 binary64) (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) z (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) z (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (sin.f64 y) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (*.f64 z (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))))
(neg.f64 (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) z))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (*.f64 (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z))
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (*.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (*.f64 z (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (*.f64 z (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))))
(/.f64 (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) z)) (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) z)) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z))) z)
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (neg.f64 (*.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) (neg.f64 (*.f64 (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) z)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)))))
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(*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (sin.f64 y))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(cos.f64 y)

simplify498.0ms (4.2%)

Memory
-19.3MiB live, 571.7MiB allocated
Algorithm
egg-herbie
Rules
8 698×accelerator-lowering-fma.f32
8 698×accelerator-lowering-fma.f64
5 518×*-lowering-*.f32
5 518×*-lowering-*.f64
3 644×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06424351
120474218
264104105
083833882
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* z (+ (/ 1 z) (/ x z)))
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))
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(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(* -1 (* z (- (sin y) (/ (cos y) z))))
(+ x (* -1 (* z (- (sin y) (/ (cos y) z)))))
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x
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(/ (- (* z (sin y)) (+ x (cos y))) z)
(/ (- (* z (sin y)) (+ x (cos y))) z)
(/ (- (* z (sin y)) (+ x (cos y))) z)
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y
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(* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) z)) (/ (pow (+ 1 x) 3) (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (+ 1 x) 4) (* y (pow z 3))) (/ (pow (+ 1 x) 3) (pow z 2))) y)) (* -1 (/ (pow (+ 1 x) 2) z))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 x) 5) (* y (pow z 4))) (/ (pow (+ 1 x) 4) (pow z 3))) y)) (/ (pow (+ 1 x) 3) (pow z 2))) y)) (* -1 (/ (pow (+ 1 x) 2) z))) y))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* z (- (/ (* (pow y 2) z) (+ 1 x)) y))))
(+ 1 (+ x (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ 1 x) 2))) (* -1 (/ (pow y 2) (+ 1 x))))) y))))
(/ (pow (+ 1 x) 2) (* y z))
(/ (+ (* -1 (/ (pow (+ 1 x) 3) (* (pow y 2) z))) (/ (pow (+ 1 x) 2) y)) z)
(/ (- (+ (/ (pow (+ 1 x) 2) y) (/ (pow (+ 1 x) 4) (* (pow y 3) (pow z 2)))) (/ (pow (+ 1 x) 3) (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (pow (+ 1 x) 5) (* (pow y 4) (pow z 3)))) (/ (pow (+ 1 x) 2) y)) (+ (* -1 (/ (pow (+ 1 x) 4) (* (pow y 3) (pow z 2)))) (/ (pow (+ 1 x) 3) (* (pow y 2) z)))) z)
(/ (pow (+ 1 x) 2) (* y z))
(* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) y)) (/ (pow (+ 1 x) 3) (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (+ 1 x) 4) (* (pow y 3) z)) (/ (pow (+ 1 x) 3) (pow y 2))) z)) (* -1 (/ (pow (+ 1 x) 2) y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 x) 5) (* (pow y 4) z)) (/ (pow (+ 1 x) 4) (pow y 3))) z)) (/ (pow (+ 1 x) 3) (pow y 2))) z)) (* -1 (/ (pow (+ 1 x) 2) y))) z))
(/ 1 (+ 1 (* y z)))
(+ (/ 1 (+ 1 (* y z))) (/ (* x (+ 1 (* 2 (* y z)))) (pow (+ 1 (* y z)) 2)))
(+ (* x (- (* x (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (* -1 (/ (+ 1 (* 2 (* y z))) (pow (+ 1 (* y z)) 2))))) (/ 1 (+ 1 (* y z))))
(+ (* x (- (* x (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 (* y z))) (- (+ (* -4 (/ (* y z) (pow (+ 1 (* y z)) 2))) (/ (* y z) (pow (+ 1 (* y z)) 2))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (+ 1 (* y z)))) (+ (* -1 (/ (+ 1 (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z))))) (pow (+ 1 (* y z)) 2))) (/ (* (+ 1 (* 2 (* y z))) (- 1 (+ (* -4 (* y z)) (* y z)))) (pow (+ 1 (* y z)) 3)))))) (/ (* y z) (pow (+ 1 (* y z)) 2)))) (+ (* -1 (/ (pow (+ 1 (* 2 (* y z))) 2) (pow (+ 1 (* y z)) 3))) (/ 1 (pow (+ 1 (* y z)) 2))))) (* -1 (/ (+ 1 (* 2 (* y z))) (pow (+ 1 (* y z)) 2))))) (/ 1 (+ 1 (* y z))))
x
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) (+ (/ 1 (pow x 2)) (+ (/ (* y z) x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -4 (* y z)) (* y z)))) (+ (* (- 1 (* 2 (* y z))) (- 1 (* y z))) (* (- (* 2 (* y z)) (+ 1 (* (- 1 (* y z)) (- (* y z) 1)))) (- (* y z) 1)))) (pow x 3))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x)))) (+ (/ 1 (pow x 2)) (+ (/ (* y z) x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) x)) (* -1 (/ (+ 1 (* -2 (* y z))) x)))) (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ 1 (+ (* -4 (* y z)) (* y z))) x)) (+ (/ (* (+ 1 (* -2 (* y z))) (- 1 (* y z))) x) (/ (* (+ (* -1 (* (- 1 (* y z)) (- (* y z) 1))) (* -1 (+ 1 (* -2 (* y z))))) (- (* y z) 1)) x))) (+ (* -1 (* (- 1 (* y z)) (- (* y z) 1))) (* -1 (+ 1 (* -2 (* y z)))))) x))) (* y z)) x)) 1)))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(/ (* y z) (pow (+ 1 x) 2))
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2))))
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2))))
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (pow (+ 1 x) 2))))
(/ (* y z) (pow (+ 1 x) 2))
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(/ (* y z) (pow (+ 1 x) 2))
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))
(/ (* y z) (pow (+ 1 x) 2))
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))
(+ 1 (* y z))
(+ 1 (+ (* -1 (* x (+ 1 (* 2 (* y z))))) (* y z)))
(+ 1 (+ (* x (- (* x (- 1 (+ (* -4 (* y z)) (* y z)))) (+ 1 (* 2 (* y z))))) (* y z)))
(+ 1 (+ (* x (- (* x (- (+ 1 (* -1 (* x (+ 1 (+ (* -2 (* y z)) (* -2 (+ (* -4 (* y z)) (* y z)))))))) (+ (* -4 (* y z)) (* y z)))) (+ 1 (* 2 (* y z))))) (* y z)))
(/ 1 x)
(/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x)
(/ (- (+ 1 (+ (/ 1 (pow x 2)) (/ (* y z) x))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ 1 (+ (* -4 (* y z)) (* y z))) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (* y z) x)))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 x))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y z) x)) (+ (* y z) (/ 1 x))) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (+ (/ 1 x) (/ (* y z) x))) (+ 1 (* -2 (* y z)))) x)) (* y z)) 1) x)) 1) x))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
z
(+ z (* -2 (* x z)))
(+ z (* x (- (* -1 (* x (+ z (* -4 z)))) (* 2 z))))
(+ z (* x (- (* x (- (* -1 (* x (+ (* -2 z) (* -2 (+ z (* -4 z)))))) (+ z (* -4 z)))) (* 2 z))))
(/ z (pow x 2))
(/ (+ z (* -2 (/ z x))) (pow x 2))
(/ (- (+ z (* -1 (/ (+ z (* -4 z)) (pow x 2)))) (* 2 (/ z x))) (pow x 2))
(/ (- (+ z (* -1 (/ (+ (* -2 z) (* -2 (+ z (* -4 z)))) (pow x 3)))) (+ (* -4 (/ z (pow x 2))) (+ (* 2 (/ z x)) (/ z (pow x 2))))) (pow x 2))
(/ z (pow x 2))
(/ (+ z (* -2 (/ z x))) (pow x 2))
(/ (+ z (* -1 (/ (- (+ (* -4 (/ z x)) (/ z x)) (* -2 z)) x))) (pow x 2))
(/ (+ z (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ z x)) (* 2 (/ (+ z (* -4 z)) x))) (+ z (* -4 z))) x)) (* -2 z)) x))) (pow x 2))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* y z))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 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))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
Outputs
(* z (+ (/ 1 z) (/ x z)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))
(fma.f64 z (-.f64 #s(literal 0 binary64) y) (fma.f64 z (/.f64 x z) #s(literal 1 binary64)))
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (fma.f64 z (/.f64 x z) #s(literal 1 binary64)))
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (fma.f64 z (/.f64 x z) #s(literal 1 binary64)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (+ (/ x z) (/ (cos y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (- (sin y) (/ (cos y) z))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)))
(+ x (* -1 (* z (- (sin y) (/ (cos y) z)))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x)
(+ x (* -1 (* z (- (sin y) (/ (cos y) z)))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x)
(+ x (* -1 (* z (- (sin y) (/ (cos y) z)))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x)
x
(* x (+ 1 (* -1 (/ (* z (- (sin y) (/ (cos y) z))) x))))
(*.f64 x (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ (* z (- (sin y) (/ (cos y) z))) x))))
(*.f64 x (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ (* z (- (sin y) (/ (cos y) z))) x))))
(*.f64 x (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (/ (* z (- (sin y) (/ (cos y) z))) x) 1)))
(*.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ (* z (- (sin y) (/ (cos y) z))) x) 1)))
(*.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ (* z (- (sin y) (/ (cos y) z))) x) 1)))
(*.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) x))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)))
(* -1 (+ (/ 1 z) (/ x z)))
(-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z))
(- y (+ (/ 1 z) (/ x z)))
(+.f64 y (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))
(- (* y (+ 1 (* 1/2 (/ y z)))) (+ (/ 1 z) (/ x z)))
(-.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) (/.f64 x z))
(- (* y (+ 1 (* y (+ (* -1/6 y) (* 1/2 (/ 1 z)))))) (+ (/ 1 z) (/ x z)))
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) (/.f64 x z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (+ (/ x z) (/ (cos y) z)))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (sin y) (/ (cos y) z))
(-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))
(- (+ (sin y) (* -1 (/ x z))) (/ (cos y) z))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (+ (sin y) (* -1 (/ x z))) (/ (cos y) z))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(- (+ (sin y) (* -1 (/ x z))) (/ (cos y) z))
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* x (- (/ (sin y) x) (+ (/ 1 z) (/ (cos y) (* x z)))))
(*.f64 x (+.f64 (/.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x) (/.f64 #s(literal -1 binary64) z)))
(* x (- (/ (sin y) x) (+ (/ 1 z) (/ (cos y) (* x z)))))
(*.f64 x (+.f64 (/.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x) (/.f64 #s(literal -1 binary64) z)))
(* x (- (/ (sin y) x) (+ (/ 1 z) (/ (cos y) (* x z)))))
(*.f64 x (+.f64 (/.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* -1 (* x (+ (* -1 (/ (- (sin y) (/ (cos y) z)) x)) (/ 1 z))))
(fma.f64 x (/.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(* -1 (* x (+ (* -1 (/ (- (sin y) (/ (cos y) z)) x)) (/ 1 z))))
(fma.f64 x (/.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(* -1 (* x (+ (* -1 (/ (- (sin y) (/ (cos y) z)) x)) (/ 1 z))))
(fma.f64 x (/.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) x) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(* -1 (/ (+ x (cos y)) z))
(/.f64 (+.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) z))
(/ (- (* z (sin y)) (+ x (cos y))) z)
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(/ (- (* z (sin y)) (+ x (cos y))) z)
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(/ (- (* z (sin y)) (+ x (cos y))) z)
(-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z))
(sin y)
(sin.f64 y)
(+ (sin y) (* -1 (/ (+ x (cos y)) z)))
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(* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y z) x)) (+ (* y z) (/ 1 x))) 1) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 (*.f64 z #s(literal -2 binary64)) x) (fma.f64 z y (/.f64 #s(literal 1 binary64) x)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (+ (/ 1 x) (/ (* y z) x))) (+ 1 (* -2 (* y z)))) x)) (* y z)) 1) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 z y #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 z (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 z (/.f64 y x) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 z y) x) (/.f64 #s(literal 1 binary64) x)))) x)) x)) (-.f64 #s(literal 0 binary64) x))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ z (pow (+ 1 x) 2))
(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
z
(+ z (* -2 (* x z)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) z)
(+ z (* x (- (* -1 (* x (+ z (* -4 z)))) (* 2 z))))
(fma.f64 x (fma.f64 x (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal -2 binary64))) z)
(+ z (* x (- (* x (- (* -1 (* x (+ (* -2 z) (* -2 (+ z (* -4 z)))))) (+ z (* -4 z)))) (* 2 z))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal -2 binary64))) (*.f64 z #s(literal 3 binary64))) (*.f64 z #s(literal -2 binary64))) z)
(/ z (pow x 2))
(/.f64 z (*.f64 x x))
(/ (+ z (* -2 (/ z x))) (pow x 2))
(/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) x) z) (*.f64 x x))
(/ (- (+ z (* -1 (/ (+ z (* -4 z)) (pow x 2)))) (* 2 (/ z x))) (pow x 2))
(/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 3 binary64) (/.f64 z (*.f64 x x)) z)) (*.f64 x x))
(/ (- (+ z (* -1 (/ (+ (* -2 z) (* -2 (+ z (* -4 z)))) (pow x 3)))) (+ (* -4 (/ z (pow x 2))) (+ (* 2 (/ z x)) (/ z (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 x (*.f64 x x))) z) (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x x)) (fma.f64 z (/.f64 #s(literal 2 binary64) x) (/.f64 z (*.f64 x x))))) (*.f64 x x))
(/ z (pow x 2))
(/.f64 z (*.f64 x x))
(/ (+ z (* -2 (/ z x))) (pow x 2))
(/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) x) z) (*.f64 x x))
(/ (+ z (* -1 (/ (- (+ (* -4 (/ z x)) (/ z x)) (* -2 z)) x))) (pow x 2))
(/.f64 (+.f64 z (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 z x) (*.f64 z #s(literal -2 binary64))) x)) (*.f64 x x))
(/ (+ z (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ z x)) (* 2 (/ (+ z (* -4 z)) x))) (+ z (* -4 z))) x)) (* -2 z)) x))) (pow x 2))
(/.f64 (-.f64 z (/.f64 (fma.f64 z #s(literal 2 binary64) (/.f64 (fma.f64 z #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 z x) #s(literal -3 binary64) (/.f64 z x)))) (-.f64 #s(literal 0 binary64) x))) x)) (*.f64 x x))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -7/360 binary64) (/.f64 #s(literal -1/6 binary64) z)) y) y (/.f64 #s(literal -1 binary64) z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -31/15120 binary64) (/.f64 #s(literal -7/360 binary64) z)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal -1 binary64) z)) y)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* 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 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval313.0ms (2.6%)

Memory
49.7MiB live, 315.4MiB allocated
Compiler

Compiled 35 054 to 3 987 computations (88.6% saved)

prune376.0ms (3.2%)

Memory
-21.7MiB live, 340.0MiB allocated
Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New1 338201 358
Fresh7815
Picked325
Done022
Total1 348321 380
Accuracy
100.0%
Counts
1 380 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
29.1%
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
19.7%
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
47.4%
(/.f64 (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)
54.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
20.4%
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
53.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
53.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
10.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
28.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
28.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
35.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
35.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
28.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
58.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
36.2%
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
69.6%
(-.f64 x (*.f64 z (sin.f64 y)))
44.4%
(-.f64 x (*.f64 z y))
71.9%
(+.f64 (cos.f64 y) x)
60.9%
(+.f64 x #s(literal 1 binary64))
62.2%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
28.9%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
49.2%
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
58.5%
(*.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 #s(literal 0 binary64) z))
60.8%
(*.f64 (-.f64 (sin.f64 y) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 y) x)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
28.9%
(*.f64 (neg.f64 (sin.f64 y)) z)
10.7%
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
6.6%
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
62.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
2.9%
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
42.6%
x
20.9%
#s(literal 1 binary64)
Compiler

Compiled 774 to 515 computations (33.5% saved)

simplify874.0ms (7.4%)

Memory
3.8MiB live, 452.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(neg.f64 (sin.f64 y))
cost-diff-64
(*.f64 (neg.f64 (sin.f64 y)) z)
cost-diff0
(sin.f64 y)
cost-diff0
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff0
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
cost-diff320
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
cost-diff0
(/.f64 x z)
cost-diff896
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 (cos.f64 y) x)
Rules
12 852×accelerator-lowering-fma.f32
12 852×accelerator-lowering-fma.f64
3 268×*-lowering-*.f32
3 268×*-lowering-*.f64
2 224×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01980
14478
27678
313276
420774
534174
699974
7301474
8690174
0804770
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (cos y) x)
(cos y)
y
x
1
(+ (* z (/ x z)) 1)
z
(/ x z)
x
1
(* (+ (* x (* x x)) 1) (/ 1 (- (+ (* x x) 1) x)))
(+ (* x (* x x)) 1)
x
(* x x)
1
(/ 1 (- (+ (* x x) 1) x))
(- (+ (* x x) 1) x)
(+ (* x x) 1)
(* (neg (sin y)) z)
(neg (sin y))
(sin y)
y
z
Outputs
(+ (cos y) x)
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
y
x
1
#s(literal 1 binary64)
(+ (* z (/ x z)) 1)
(+.f64 x #s(literal 1 binary64))
z
(/ x z)
(/.f64 x z)
x
1
#s(literal 1 binary64)
(* (+ (* x (* x x)) 1) (/ 1 (- (+ (* x x) 1) x)))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (* x x)) 1)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (- (+ (* x x) 1) x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(- (+ (* x x) 1) x)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
(* (neg (sin y)) z)
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
(neg (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(sin y)
(sin.f64 y)
y
z

localize69.0ms (0.6%)

Memory
-14.5MiB live, 100.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(neg.f64 (sin.f64 y))
accuracy99.8%
(*.f64 (neg.f64 (sin.f64 y)) z)
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy64.8%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
accuracy100.0%
(/.f64 x z)
accuracy88.3%
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
accuracy100.0%
(+.f64 (cos.f64 y) x)
accuracy100.0%
(cos.f64 y)
Samples
47.0ms256×0valid
Compiler

Compiled 79 to 21 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 7.0ms (23.7% of total)
ival-sin: 6.0ms (20.3% of total)
ival-cos: 6.0ms (20.3% of total)
ival-div: 4.0ms (13.5% of total)
ival-add: 4.0ms (13.5% of total)
ival-sub: 1.0ms (3.4% of total)
ival-neg: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
12 → 192
Calls
Call 1
Inputs
#<alt (+ (cos y) x)>
#<alt (cos y)>
#<alt (+ (* z (/ x z)) 1)>
#<alt (/ x z)>
#<alt (* (+ (* x (* x x)) 1) (/ 1 (- (+ (* x x) 1) x)))>
#<alt (+ (* x (* x x)) 1)>
#<alt (/ 1 (- (+ (* x x) 1) x))>
#<alt (- (+ (* x x) 1) x)>
#<alt (sin y)>
#<alt (* (neg (sin y)) z)>
#<alt (neg (sin y))>
#<alt (* x x)>
Outputs
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<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 (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<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 (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<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>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (pow x 3))>
#<alt (+ 1 (pow x 3))>
#<alt (+ 1 (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) 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 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

48 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* (+ (* x (* x x)) 1) (/ 1 (- (+ (* x x) 1) x)))
0.0ms
x
@inf
(* (+ (* x (* x x)) 1) (/ 1 (- (+ (* x x) 1) x)))
0.0ms
x
@-inf
(/ x z)
0.0ms
z
@-inf
(/ x z)
0.0ms
x
@-inf
(* (+ (* x (* x x)) 1) (/ 1 (- (+ (* x x) 1) x)))

rewrite564.0ms (4.7%)

Memory
-31.7MiB live, 899.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 046×accelerator-lowering-fma.f32
10 046×accelerator-lowering-fma.f64
4 628×*-lowering-*.f32
4 628×*-lowering-*.f64
3 708×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01957
111257
291049
0917347
Stop Event
iter limit
node limit
Counts
12 → 877
Calls
Call 1
Inputs
(+ (cos y) x)
(cos y)
(+ (* z (/ x z)) 1)
(/ x z)
(* (+ (* x (* x x)) 1) (/ 1 (- (+ (* x x) 1) x)))
(+ (* x (* x x)) 1)
(/ 1 (- (+ (* x x) 1) x))
(- (+ (* x x) 1) x)
(sin y)
(* (neg (sin y)) z)
(neg (sin y))
(* x x)
Outputs
(+.f64 (cos.f64 y) x)
(+.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 (cos.f64 y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (cos.f64 y))))
(fma.f64 x #s(literal 1 binary64) (cos.f64 y))
(fma.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) z)) (cos.f64 y))
(fma.f64 z (/.f64 x z) (cos.f64 y))
(fma.f64 (/.f64 x z) z (cos.f64 y))
(fma.f64 #s(literal 1 binary64) x (cos.f64 y))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (cos.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) z) (cos.f64 y))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z) (cos.f64 y))
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(fma.f64 (*.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (cos.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) z) (cos.f64 y))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) z) (cos.f64 y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) x (cos.f64 y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) (-.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (*.f64 (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (-.f64 (cos.f64 y) x) (-.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (cos.f64 y) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x (-.f64 x (cos.f64 y))))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
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(*.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))
(*.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(sin.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(fma.f64 z #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 0 binary64) z (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)) (*.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z (-.f64 #s(literal 0 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)))) #s(literal 0 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (sin.f64 y))
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64))) (/.f64 (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)))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (sin.f64 y)))
(neg.f64 (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 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)))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (sin.f64 y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 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)))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(*.f64 (sin.f64 y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) (*.f64 x z)))
(neg.f64 (*.f64 (*.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) x) z)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 z (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (*.f64 x z))))
(/.f64 (*.f64 x z) (/.f64 z x))
(/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (*.f64 x (*.f64 x z)) z)
(/.f64 (neg.f64 (*.f64 x (*.f64 z (*.f64 x z)))) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x (*.f64 z (*.f64 x z))) #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) x) (-.f64 #s(literal 0 binary64) z))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 z (/.f64 (*.f64 x x) z))
(*.f64 (/.f64 x z) (*.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 x z)))
(*.f64 (*.f64 x z) (/.f64 x z))
(*.f64 (*.f64 x (*.f64 z (*.f64 x z))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(*.f64 (*.f64 x (*.f64 z (*.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 x (*.f64 z (*.f64 x z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 z z) (/.f64 (/.f64 (*.f64 x x) z) z))
(*.f64 (*.f64 z z) (*.f64 (/.f64 (/.f64 (*.f64 x x) z) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 x x) z) z) (*.f64 z z))
(*.f64 (/.f64 (/.f64 (*.f64 x x) z) z) (*.f64 (*.f64 z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x x) z) z)
(*.f64 (*.f64 x (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) z))

simplify587.0ms (4.9%)

Memory
11.2MiB live, 1 089.1MiB allocated
Algorithm
egg-herbie
Rules
18 166×accelerator-lowering-fma.f32
18 166×accelerator-lowering-fma.f64
4 070×*-lowering-*.f32
4 070×*-lowering-*.f64
3 744×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155926
1428912
21081896
33200882
47214882
08453847
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
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)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 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
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- x 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) 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 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) x))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 #s(literal 1 binary64) (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)) 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))
(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
(* x (+ 1 (/ (cos y) x)))
(+.f64 x (cos.f64 y))
(* x (+ 1 (/ (cos y) x)))
(+.f64 x (cos.f64 y))
(* x (+ 1 (/ (cos y) x)))
(+.f64 x (cos.f64 y))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 x (cos.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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 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)
(/ 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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 3))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1 (/ 1 x)) (pow x 2))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1 (/ 1 x)) (pow x 2))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- x 1)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.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 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(*.f64 y (*.f64 z (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 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(*.f64 y (*.f64 z (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))))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/6 (pow y 2)) 1))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(*.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 (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(*.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)))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval144.0ms (1.2%)

Memory
21.2MiB live, 280.9MiB allocated
Compiler

Compiled 28 271 to 2 080 computations (92.6% saved)

prune151.0ms (1.3%)

Memory
-8.7MiB live, 281.1MiB allocated
Pruning

42 alts after pruning (35 fresh and 7 done)

PrunedKeptTotal
New1 054151 069
Fresh32023
Picked235
Done044
Total1 059421 101
Accuracy
100.0%
Counts
1 101 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.1%
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
19.7%
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
47.4%
(/.f64 (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)
54.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
20.4%
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
53.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
53.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
10.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
28.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
28.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
35.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
28.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
58.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
69.6%
(-.f64 x (*.f64 z (sin.f64 y)))
44.4%
(-.f64 x (*.f64 z y))
43.7%
(+.f64 (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)) x)
71.9%
(+.f64 (cos.f64 y) x)
60.9%
(+.f64 x #s(literal 1 binary64))
27.3%
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
62.2%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
28.8%
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
10.2%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
10.1%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
28.4%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
10.4%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
10.6%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
21.5%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
10.2%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
22.4%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
49.2%
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
58.5%
(*.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 #s(literal 0 binary64) z))
60.8%
(*.f64 (-.f64 (sin.f64 y) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 y) x)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
60.8%
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
10.7%
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
28.9%
(*.f64 (neg.f64 (sin.f64 y)) z)
10.9%
(*.f64 (neg.f64 y) z)
6.6%
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
62.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
2.9%
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
31.3%
(cos.f64 y)
42.6%
x
20.9%
#s(literal 1 binary64)
Compiler

Compiled 1 458 to 615 computations (57.8% saved)

regimes120.0ms (1%)

Memory
-1.2MiB live, 194.3MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (sin.f64 y)) z)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))))
(*.f64 (-.f64 (sin.f64 y) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 y) x)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y))))) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

41.0ms
x
32.0ms
y
21.0ms
z
20.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes91.0ms (0.8%)

Memory
3.7MiB live, 83.7MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (sin.f64 y)) z)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

43.0ms
z
30.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
98.9%3x
89.8%4y
95.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.3%)

Memory
-6.5MiB live, 67.7MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (sin.f64 y)) z)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

2 calls:

16.0ms
x
14.0ms
z
Results
AccuracySegmentsBranch
95.0%3z
84.5%5x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes29.0ms (0.2%)

Memory
25.2MiB live, 63.2MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (sin.f64 y)) z)
Outputs
(*.f64 (neg.f64 (sin.f64 y)) z)
(+.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (sin.f64 y)) z)
Calls

2 calls:

13.0ms
y
12.0ms
z
Results
AccuracySegmentsBranch
80.8%3y
82.8%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes49.0ms (0.4%)

Memory
-23.3MiB live, 80.9MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

21.0ms
z
13.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
80.8%3y
71.9%1x
77.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.3%)

Memory
2.5MiB live, 79.3MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
(cos.f64 y)
Outputs
(+.f64 x #s(literal 1 binary64))
(cos.f64 y)
(+.f64 x #s(literal 1 binary64))
Calls

3 calls:

12.0ms
x
12.0ms
y
11.0ms
z
Results
AccuracySegmentsBranch
71.5%3x
63.0%1z
70.8%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.2%)

Memory
11.5MiB live, 53.7MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (*.f64 x z) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal 0 binary64))))
Outputs
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x))
(+.f64 x #s(literal 1 binary64))
Calls

2 calls:

13.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
69.9%3y
68.2%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
-23.2MiB live, 15.8MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) z)
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(*.f64 y (*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
Outputs
(+.f64 x #s(literal 1 binary64))
(fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
69.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) #s(literal 1 binary64))
Outputs
(+.f64 x #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
69.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-17.0MiB live, 21.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 z y))
(+.f64 x #s(literal 1 binary64))
(-.f64 x (*.f64 z y))
Calls

3 calls:

3.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
65.8%3z
60.9%1x
64.3%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 y) z)
Outputs
(*.f64 (neg.f64 y) z)
(+.f64 x #s(literal 1 binary64))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
63.1%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-16.4MiB live, 23.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 x #s(literal 1 binary64))
Calls

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
60.9%1x
60.9%1y
60.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
x
#s(literal 1 binary64)
x
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
42.6%1y
42.6%1z
60.3%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
20.9%1y
20.9%1z
20.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch116.0ms (1%)

Memory
-19.9MiB live, 97.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
1.0363862374732992e-5
27.070436118279986
67.0ms
-91182738861955.61
-1.4543036021259723e-12
Samples
73.0ms303×0valid
26.0ms3valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 435 to 314 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-cos: 78.0ms (85.1% of total)
ival-sin: 7.0ms (7.6% of total)
ival-sub: 2.0ms (2.2% of total)
ival-mult: 2.0ms (2.2% of total)
ival-add: 2.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
29.1MiB live, 66.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.9340227348860627e+36
3.753129039768774e+45
13.0ms
-7.751489309772205e+26
-2.4782879773187976e+25
Samples
22.0ms256×0valid
Compiler

Compiled 303 to 222 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (38.7% of total)
ival-sin: 5.0ms (32.3% of total)
ival-mult: 2.0ms (12.9% of total)
ival-sub: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory
-16.6MiB live, 58.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
3.753129039768774e+45
2.3664286584475602e+52
19.0ms
-2.9060985340353135e+135
-1.2350854572672046e+131
Samples
28.0ms272×0valid
Compiler

Compiled 304 to 235 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 11.0ms (52.9% of total)
ival-sin: 6.0ms (28.8% of total)
ival-mult: 2.0ms (9.6% of total)
ival-sub: 1.0ms (4.8% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Memory
12.7MiB live, 85.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
3.5297922380457263e-6
128588.9378038575
23.0ms
-3935315720393.7
-79399.62664168376
Samples
30.0ms304×0valid
Compiler

Compiled 547 to 394 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 10.0ms (45.7% of total)
ival-sin: 7.0ms (32% of total)
ival-mult: 2.0ms (9.1% of total)
ival-sub: 1.0ms (4.6% of total)
ival-add: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Memory
-8.4MiB live, 76.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.175023806279256e-23
5.470194503742086e-22
31.0ms
-91182738861955.61
-1.4543036021259723e-12
Samples
35.0ms272×0valid
Compiler

Compiled 236 to 201 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.5% of total)
ival-sin: 5.0ms (31.2% of total)
ival-mult: 2.0ms (12.5% of total)
ival-sub: 1.0ms (6.2% of total)
ival-add: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Memory
13.8MiB live, 86.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
3.5297922380457263e-6
128588.9378038575
22.0ms
-3935315720393.7
-79399.62664168376
Samples
33.0ms304×0valid
Compiler

Compiled 528 to 394 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 9.0ms (39.5% of total)
ival-sin: 8.0ms (35.1% of total)
ival-add: 2.0ms (8.8% of total)
ival-mult: 2.0ms (8.8% of total)
ival-sub: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory
-8.5MiB live, 68.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
3.5297922380457263e-6
128588.9378038575
11.0ms
-79399.62664168376
-25094.593294419872
Samples
32.0ms240×0valid
Compiler

Compiled 345 to 269 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (39.1% of total)
ival-sin: 7.0ms (39.1% of total)
ival-mult: 2.0ms (11.2% of total)
ival-sub: 1.0ms (5.6% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Memory
15.6MiB live, 82.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
15746631534510725000.0
1.4724104938595853e+21
11.0ms
-3.011665647348393e+34
-1.2432527147777297e+34
Samples
26.0ms192×0valid
Compiler

Compiled 219 to 170 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (38.3% of total)
ival-sin: 6.0ms (38.3% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-mult: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory
7.6MiB live, 89.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.9480328119079578e+276
4.322216031281782e+282
24.0ms
-7.351571299073426e+208
-2.3185280831375313e+205
Samples
32.0ms272×0valid
Compiler

Compiled 287 to 218 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 14.0ms (57.5% of total)
ival-sin: 5.0ms (20.5% of total)
ival-mult: 2.0ms (8.2% of total)
ival-sub: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-2.9MiB live, 35.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-7.351571299073426e+208
-2.3185280831375313e+205
Samples
13.0ms128×0valid
Compiler

Compiled 135 to 110 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 5.0ms (53.7% of total)
ival-sin: 3.0ms (32.2% of total)
ival-sub: 1.0ms (10.7% of total)
ival-add: 1.0ms (10.7% of total)
ival-mult: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
-0.6MiB live, 77.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.0363862374732992e-5
27.070436118279986
16.0ms
-7.254589671679058e-17
-7.455710910583622e-21
Samples
23.0ms260×0valid
1.0ms3valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 185 to 167 computations (9.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (37.3% of total)
ival-sin: 5.0ms (26.6% of total)
ival-add: 3.0ms (16% of total)
ival-mult: 2.0ms (10.7% of total)
ival-sub: 1.0ms (5.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Memory
-0.1MiB live, 36.9MiB allocated
Algorithm
egg-herbie
Rules
32×+-commutative_binary64
26×sub-neg_binary64
22×*-commutative_binary64
20×if-if-or-not_binary32
12×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096223
1165223
2186223
3196223
4200223
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -45000000000000003003121664 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2050000000000000064826213728285360128 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1300000000000000003839240101627451217704207545034675907611215602659148564344596888759644522781388286046189431082545233865137497047040 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z) (if (<=.f64 z #s(literal 14999999999999999898314230115424419646925626629160960 binary64)) (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)))
(if (<=.f64 y #s(literal -80000 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -7350268983256945/77371252455336267181195264 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5742264941790837/10633823966279326983230456482242756608 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -85000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 98000 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -60000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 30000 binary64)) (fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -16499999999999999390221687437918208 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 17000000000000000000 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -609999999999999966694574585886476710082852149447090720173888189639917762925341396513848200099586647138781266435698903844225471059667477742480703022856765558003784479674286002471921950923389395901938264965120 binary64)) (-.f64 x (*.f64 z y)) (if (<=.f64 z #s(literal 1950000000000000113835140132800839573202655673836746523640863714776783234049962255202602790999052033324431321375408091845970611878717530793687454012529583049213259572881917652554580743766721887473468140988100908995145139203219520057690937728126545303106706700622948073111289856 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -72000000000000000519117274867266357733545016642399787154083461421257766598760866719779991633333251745918645765911973680453128053417591389046540863711594637928862242247977105226090511001379806236474917154455552 binary64)) (*.f64 (neg.f64 y) z) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1419768672255617/20282409603651670423947251286016 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -45000000000000003003121664 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2050000000000000064826213728285360128 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -45000000000000003003121664 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2050000000000000064826213728285360128 binary64)) (+.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1300000000000000003839240101627451217704207545034675907611215602659148564344596888759644522781388286046189431082545233865137497047040 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z) (if (<=.f64 z #s(literal 14999999999999999898314230115424419646925626629160960 binary64)) (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)))
(if (<=.f64 z #s(literal -1300000000000000003839240101627451217704207545034675907611215602659148564344596888759644522781388286046189431082545233865137497047040 binary64)) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (if (<=.f64 z #s(literal 14999999999999999898314230115424419646925626629160960 binary64)) (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))))
(if (<=.f64 y #s(literal -80000 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -80000 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)) (+.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7350268983256945/77371252455336267181195264 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5742264941790837/10633823966279326983230456482242756608 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -85000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 98000 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -60000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 30000 binary64)) (fma.f64 y (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -16499999999999999390221687437918208 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 17000000000000000000 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -609999999999999966694574585886476710082852149447090720173888189639917762925341396513848200099586647138781266435698903844225471059667477742480703022856765558003784479674286002471921950923389395901938264965120 binary64)) (-.f64 x (*.f64 z y)) (if (<=.f64 z #s(literal 1950000000000000113835140132800839573202655673836746523640863714776783234049962255202602790999052033324431321375408091845970611878717530793687454012529583049213259572881917652554580743766721887473468140988100908995145139203219520057690937728126545303106706700622948073111289856 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -609999999999999966694574585886476710082852149447090720173888189639917762925341396513848200099586647138781266435698903844225471059667477742480703022856765558003784479674286002471921950923389395901938264965120 binary64)) (-.f64 x (*.f64 y z)) (if (<=.f64 z #s(literal 1950000000000000113835140132800839573202655673836746523640863714776783234049962255202602790999052033324431321375408091845970611878717530793687454012529583049213259572881917652554580743766721887473468140988100908995145139203219520057690937728126545303106706700622948073111289856 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 y z))))
(if (<=.f64 z #s(literal -72000000000000000519117274867266357733545016642399787154083461421257766598760866719779991633333251745918645765911973680453128053417591389046540863711594637928862242247977105226090511001379806236474917154455552 binary64)) (*.f64 (neg.f64 y) z) (+.f64 x #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -72000000000000000519117274867266357733545016642399787154083461421257766598760866719779991633333251745918645765911973680453128053417591389046540863711594637928862242247977105226090511001379806236474917154455552 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1419768672255617/20282409603651670423947251286016 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.7s (14.5%)

Memory
23.5MiB live, 1 189.7MiB allocated
Rules
18 166×accelerator-lowering-fma.f32
18 166×accelerator-lowering-fma.f64
12 396×accelerator-lowering-fma.f32
12 396×accelerator-lowering-fma.f64
9 006×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028111
1177110
21593110
08631105
0821
14221
238321
3563621
0823021
0155926
1428912
21081896
33200882
47214882
08453847
06936128
121985865
272705807
080725472
06424351
120474218
264104105
083833882
0118674
1334669
2866661
32597657
45302657
57440657
08079629
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 514 to 287 computations (44.2% saved)

preprocess84.0ms (0.7%)

Memory
10.2MiB live, 204.0MiB allocated
Compiler

Compiled 540 to 204 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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