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

Time bar (total: 14.9s)

analyze0.0ms (0%)

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 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)

sample1.2s (8%)

Results
825.0ms8250×0valid
6.0ms3valid
1.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 585.0ms
ival-cos: 200.0ms (34.2% of total)
ival-sin: 199.0ms (34% of total)
ival-mult: 72.0ms (12.3% of total)
ival-add: 60.0ms (10.2% of total)
ival-sub: 43.0ms (7.3% of total)
const: 8.0ms (1.4% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess81.0ms (0.5%)

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 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
Call 2
Inputs
(- (+ x (cos y)) (* z (sin y)))
(- (+ (neg x) (cos y)) (* z (sin y)))
(- (+ x (cos (neg y))) (* z (sin (neg y))))
(- (+ x (cos y)) (* (neg z) (sin y)))
(neg (- (+ (neg x) (cos y)) (* z (sin y))))
(neg (- (+ x (cos (neg y))) (* z (sin (neg y)))))
(neg (- (+ x (cos y)) (* (neg z) (sin y))))
(- (+ y (cos x)) (* z (sin x)))
(- (+ z (cos y)) (* x (sin y)))
(- (+ x (cos z)) (* y (sin z)))
Outputs
(- (+ x (cos y)) (* z (sin y)))
(+ (cos y) (- x (* 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))))
(+ x (- (* z (sin y)) (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)))
(- y (- (* z (sin x)) (cos x)))
(- (+ z (cos y)) (* x (sin y)))
(+ z (- (cos y) (* x (sin y))))
(- (+ x (cos z)) (* y (sin z)))
(- x (- (* y (sin z)) (cos z)))

explain105.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-x
00-0-(*.f64 z (sin.f64 y))
00-0-(cos.f64 y)
00-0-z
00-0-y
00-0-(sin.f64 y)
00-0-(+.f64 x (cos.f64 y))
Results
73.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sin: 19.0ms (38.8% of total)
ival-cos: 17.0ms (34.7% of total)
ival-add: 7.0ms (14.3% of total)
ival-mult: 4.0ms (8.2% of total)
ival-sub: 3.0ms (6.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune4.0ms (0%)

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)

localize130.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (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)))
accuracy100.0%
(+.f64 x (cos.f64 y))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.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 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+ x (cos y))
(+.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
Results
44.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.2% of total)
ival-sin: 5.0ms (31% of total)
ival-add: 2.0ms (12.4% of total)
ival-mult: 2.0ms (12.4% of total)
ival-sub: 1.0ms (6.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (* z (sin y))>
#<alt (cos y)>
#<alt (sin y)>
#<alt (+ x (cos y))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
Outputs
#<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 (* -1/2 (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 (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 (- (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)))))>
Calls

27 calls:

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

rewrite682.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
4620×*-lowering-*.f32
4620×*-lowering-*.f64
4548×accelerator-lowering-fma.f32
4548×accelerator-lowering-fma.f64
2418×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
14221
238321
3563621
0822921
Stop Event
iter limit
node limit
Counts
5 → 188
Calls
Call 1
Inputs
(* z (sin y))
(cos y)
(sin y)
(+ x (cos y))
(- (+ x (cos y)) (* z (sin y)))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(cos.f64 y)
(sin.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) #s(literal -1 binary64)))
(-.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 #s(literal 2 binary64))))) (-.f64 x (cos.f64 y))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 x (cos.f64 y)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (+.f64 (cos.f64 y) x) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 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)))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.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 #s(literal 2 binary64))))) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 x (cos.f64 y))))
(/.f64 (+.f64 (*.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 (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))))))
(/.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 (-.f64 (cos.f64 y) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 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 (+.f64 (*.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)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (+.f64 (*.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))) (+.f64 (*.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 (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))) (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))) (+.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))) (/.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (/.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))

simplify636.0ms (4.3%)

Algorithm
egg-herbie
Rules
12396×accelerator-lowering-fma.f32
12396×accelerator-lowering-fma.f64
3376×*-lowering-*.f32
3376×*-lowering-*.f64
2858×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118674
1334669
2863661
32590657
45283657
57420657
08041629
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 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)
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)
(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))
(- (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)))))
Outputs
(* 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 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
(* 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)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 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)
(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 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) (+.f64 #s(literal 1 binary64) 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)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ 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 (* z (sin y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))

eval58.0ms (0.4%)

Compiler

Compiled 7797 to 2338 computations (70% saved)

prune41.0ms (0.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New28412296
Fresh000
Picked101
Done000
Total28512297
Accuracy
100.0%
Counts
297 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
90.5%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
55.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
69.3%
(-.f64 x (*.f64 z (sin.f64 y)))
59.2%
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
74.8%
(+.f64 (cos.f64 y) x)
58.9%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
66.1%
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
65.9%
(+.f64 #s(literal 1 binary64) x)
99.8%
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
45.6%
x
Compiler

Compiled 346 to 222 computations (35.8% saved)

localize1.4s (9.4%)

Algorithm
egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(-.f64 x (*.f64 z (sin.f64 y)))
cost-diff0
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)
cost-diff0
(*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
cost-diff0
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
cost-diff128
(*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
cost-diff26752
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(-.f64 x (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy100.0%
(*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))
accuracy99.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
accuracy99.8%
(*.f64 z (*.f64 y #s(literal 1/6 binary64)))
accuracy99.5%
(*.f64 y #s(literal 1/6 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(-.f64 x (*.f64 z y))
accuracy100.0%
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.8%
(*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
Rules
20602×accelerator-lowering-fma.f32
20602×accelerator-lowering-fma.f64
4990×*-lowering-*.f32
4990×*-lowering-*.f64
2726×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027222
173216
2204176
3855176
45353176
08317164
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (+ (* z (sin y)) (+ (cos y) x)) (* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x)))))
(+ (* z (sin y)) (+ (cos y) x))
(* z (sin y))
z
(sin y)
y
(+ (cos y) x)
(cos y)
x
(* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x))))
(- (+ (cos y) x) (* z (sin y)))
(/ 1 (+ (* z (sin y)) (+ (cos y) x)))
1
(+ 1 (- x (* z y)))
(- x (* z y))
(* z y)
(+ x (+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))))
(+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z)))
(* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))
(- (* y (+ -1/2 (* z (* y 1/6)))) z)
(* y (+ -1/2 (* z (* y 1/6))))
(+ -1/2 (* z (* y 1/6)))
-1/2
(* z (* y 1/6))
(* y 1/6)
1/6
(- x (* z (sin y)))
Outputs
(* (+ (* z (sin y)) (+ (cos y) x)) (* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ (* z (sin y)) (+ (cos y) x))
(+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
y
(+ (cos y) x)
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
x
(* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x))))
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(- (+ (cos y) x) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/ 1 (+ (* z (sin y)) (+ (cos y) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
1
#s(literal 1 binary64)
(+ 1 (- x (* z y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z y))
(- x (* z y))
(-.f64 x (*.f64 z y))
(* z y)
(*.f64 z y)
(+ x (+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))))
(+.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)) (+.f64 x #s(literal 1 binary64)))
(+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))
(*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))
(- (* y (+ -1/2 (* z (* y 1/6)))) z)
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)
(* y (+ -1/2 (* z (* y 1/6))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(+ -1/2 (* z (* y 1/6)))
(+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))
-1/2
#s(literal -1/2 binary64)
(* z (* y 1/6))
(*.f64 z (*.f64 y #s(literal 1/6 binary64)))
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(- x (* z (sin y)))
(-.f64 x (*.f64 z (sin.f64 y)))
Results
246.0ms256×0valid
Compiler

Compiled 222 to 81 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 98.0ms (67.5% of total)
ival-add: 15.0ms (10.3% of total)
ival-sub: 9.0ms (6.2% of total)
ival-sin: 9.0ms (6.2% of total)
ival-cos: 6.0ms (4.1% of total)
ival-div: 5.0ms (3.4% of total)
const: 3.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series52.0ms (0.3%)

Counts
17 → 480
Calls
Call 1
Inputs
#<alt (* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x))))>
#<alt (* z (sin y))>
#<alt (/ 1 (+ (* z (sin y)) (+ (cos y) x)))>
#<alt (* (+ (* z (sin y)) (+ (cos y) x)) (* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x)))))>
#<alt (- x (* z y))>
#<alt (* z y)>
#<alt (+ 1 (- x (* z y)))>
#<alt (* y 1/6)>
#<alt (* z (* y 1/6))>
#<alt (* y (+ -1/2 (* z (* y 1/6))))>
#<alt (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))>
#<alt (- x (* z (sin y)))>
#<alt (sin y)>
#<alt (+ (* z (sin y)) (+ (cos y) x))>
#<alt (+ x (+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))))>
#<alt (+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z)))>
#<alt (- (* y (+ -1/2 (* z (* y 1/6)))) z)>
Outputs
#<alt 1>
#<alt (+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))>
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))>
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y))))>
#<alt (- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* z (sin y)) x)))>
#<alt (- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x)))>
#<alt (- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))>
#<alt 1>
#<alt (+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))>
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))>
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))>
#<alt -1>
#<alt (- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))>
#<alt (- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))>
#<alt (- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)>
#<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 (+ x (cos y)))>
#<alt (+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (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 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (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))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)>
#<alt (/ 1 (* z (sin y)))>
#<alt (* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))>
#<alt (* -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))) (/ (* (+ 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 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ (cos y) (* z (sin y))))>
#<alt (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))>
#<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 (+ 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 (- (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 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (- 1 (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1/2 y)))>
#<alt (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))>
#<alt (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* 1/2 (/ (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* 1/2 (/ (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* 1/2 (/ (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<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 (+ x (cos y))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* y z)))>
#<alt (+ 1 (+ x (* y (+ z (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))>
#<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 (+ (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 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<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 (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<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 (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* 1/6 z) (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (- z (/ 1 y)) y)) 1/2) y)) (* -1/6 z))))>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ 1 z))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ 1 z))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ 1 z))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 z)>
#<alt (- (* -1/2 y) z)>
#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)>
#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))>
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))>
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))>
#<alt (* -1 (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))>
Calls

120 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(* y (+ -1/2 (* z (* y 1/6))))
3.0ms
y
@0
(- x (* z (sin y)))
3.0ms
z
@0
(* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x))))
2.0ms
z
@-inf
(* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x))))
1.0ms
y
@inf
(* z y)

rewrite754.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
4306×*-lowering-*.f32
4306×*-lowering-*.f64
4028×/-lowering-/.f32
4028×/-lowering-/.f64
3970×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027168
1191148
21879148
08326138
Stop Event
iter limit
node limit
Counts
17 → 616
Calls
Call 1
Inputs
(* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x))))
(* z (sin y))
(/ 1 (+ (* z (sin y)) (+ (cos y) x)))
(* (+ (* z (sin y)) (+ (cos y) x)) (* (- (+ (cos y) x) (* z (sin y))) (/ 1 (+ (* z (sin y)) (+ (cos y) x)))))
(- x (* z y))
(* z y)
(+ 1 (- x (* z y)))
(* y 1/6)
(* z (* y 1/6))
(* y (+ -1/2 (* z (* y 1/6))))
(* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))
(- x (* z (sin y)))
(sin y)
(+ (* z (sin y)) (+ (cos y) x))
(+ x (+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z))))
(+ 1 (* y (- (* y (+ -1/2 (* z (* y 1/6)))) z)))
(- (* y (+ -1/2 (* z (* y 1/6)))) z)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (cos.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (cos.f64 y) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (*.f64 (+.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (*.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))))
(fma.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (+.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (cos.f64 y) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (*.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 y y)))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))))))
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(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 z (+.f64 z (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 z (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 z z))) #s(literal -1 binary64))
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simplify648.0ms (4.4%)

Algorithm
egg-herbie
Rules
6686×accelerator-lowering-fma.f32
6686×accelerator-lowering-fma.f64
5136×*-lowering-*.f32
5136×*-lowering-*.f64
3978×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06796111
121405827
269505762
080375442
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
1
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))
(/ (- (+ 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)) (* 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)))))
(/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y))))
(- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
(- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
(- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
1
(+ 1 (* -2 (/ (* z (sin y)) x)))
(- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x)))
(- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x))))
1
(+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
1
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))
-1
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))
-1
(- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 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 (+ x (cos y)))
(+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (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 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (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))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -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))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ 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))
(/ 1 (+ 1 x))
(+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))
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Outputs
1
#s(literal 1 binary64)
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(* 1/6 (* (pow y 2) z))
(*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(* 1/6 (* (pow y 2) z))
(*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) z))) (neg.f64 z))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) z))) (neg.f64 z))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) z))) (neg.f64 z))

eval348.0ms (2.3%)

Compiler

Compiled 49106 to 17414 computations (64.5% saved)

prune311.0ms (2.1%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1315151330
Fresh257
Picked325
Done000
Total1320221342
Accuracy
100.0%
Counts
1342 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 x (*.f64 z (sin.f64 y))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
90.5%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
55.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
39.3%
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
69.3%
(-.f64 x (*.f64 z (sin.f64 y)))
45.2%
(-.f64 x (*.f64 z y))
29.3%
(-.f64 #s(literal 1 binary64) (*.f64 y z))
59.2%
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
74.8%
(+.f64 (cos.f64 y) x)
53.2%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
48.0%
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
65.9%
(+.f64 x #s(literal 1 binary64))
28.5%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
53.4%
(*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
26.3%
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
54.6%
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
9.5%
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
3.2%
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
26.1%
(*.f64 z (neg.f64 (sin.f64 y)))
50.9%
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
45.6%
x
Compiler

Compiled 807 to 513 computations (36.4% saved)

localize420.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 (cos.f64 y) x)
cost-diff0
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
cost-diff0
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 y (*.f64 y y))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))
cost-diff0
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(+.f64 (cos.f64 y) x)
cost-diff0
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
accuracy100.0%
(+.f64 (cos.f64 y) x)
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))
accuracy100.0%
(*.f64 y y)
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))
accuracy90.6%
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
Rules
2504×accelerator-lowering-fma.f32
2504×accelerator-lowering-fma.f64
1144×*-lowering-*.f32
1144×*-lowering-*.f64
884×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02397
15197
212397
327497
442097
564697
697397
7141497
8193797
9265897
10322297
11328697
12330097
13330997
14331097
15333897
16335097
17335097
18335497
0335495
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (/ 1 (- (+ (cos y) x) (* z (sin y)))))
1
(/ 1 (- (+ (cos y) x) (* z (sin y))))
(- (+ (cos y) x) (* z (sin y)))
(+ (cos y) x)
(cos y)
y
x
(* z (sin y))
z
(sin y)
(+ x 1)
(* z (* 1/6 (* y (* y y))))
(* 1/6 (* y (* y y)))
1/6
(* y (* y y))
(* y y)
(+ (+ 1 x) (* y (- (* y -1/2) z)))
(+ 1 x)
(* y (- (* y -1/2) z))
(- (* y -1/2) z)
(* y -1/2)
-1/2
Outputs
(/ 1 (/ 1 (- (+ (cos y) x) (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
1
#s(literal 1 binary64)
(/ 1 (- (+ (cos y) x) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(- (+ (cos y) x) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ (cos y) x)
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
y
x
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
(* z (* 1/6 (* y (* y y))))
(*.f64 y (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(* 1/6 (* y (* y y)))
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
1/6
#s(literal 1/6 binary64)
(* y (* y y))
(*.f64 y (*.f64 y y))
(* y y)
(*.f64 y y)
(+ (+ 1 x) (* y (- (* y -1/2) z)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* y (- (* y -1/2) z))
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))
(- (* y -1/2) z)
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
Results
109.0ms256×0valid
Compiler

Compiled 127 to 47 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 38.0ms (50.3% of total)
ival-sin: 12.0ms (15.9% of total)
ival-cos: 7.0ms (9.3% of total)
ival-add: 6.0ms (7.9% of total)
ival-div: 5.0ms (6.6% of total)
ival-sub: 5.0ms (6.6% of total)
const: 2.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series83.0ms (0.6%)

Counts
16 → 348
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (- (+ (cos y) x) (* z (sin y)))))>
#<alt (* z (sin y))>
#<alt (/ 1 (- (+ (cos y) x) (* z (sin y))))>
#<alt (cos y)>
#<alt (+ x 1)>
#<alt (* z (* 1/6 (* y (* y y))))>
#<alt (* 1/6 (* y (* y y)))>
#<alt (* y (* y y))>
#<alt (* y y)>
#<alt (* y (- (* y -1/2) z))>
#<alt (* y -1/2)>
#<alt (+ 1 x)>
#<alt (+ (+ 1 x) (* y (- (* y -1/2) z)))>
#<alt (+ (cos y) x)>
#<alt (- (+ (cos y) x) (* z (sin y)))>
#<alt (- (* y -1/2) z)>
Outputs
#<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 (- (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 (+ 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 (* 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 (+ 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)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (cos y) (* z (sin y))))>
#<alt (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)>
#<alt (/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos 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>
#<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>
#<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 (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1/2 y)))>
#<alt (* y (+ (* -1 z) (* -1/2 y)))>
#<alt (* 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)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))>
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))>
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) 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 (* 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 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 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 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 (- (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 (+ 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 (* -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)))))>
Calls

87 calls:

TimeVariablePointExpression
1.0ms
z
@0
(* z (* 1/6 (* y (* y y))))
1.0ms
y
@0
(* z (* 1/6 (* y (* y y))))
1.0ms
z
@inf
(* z (* 1/6 (* y (* y y))))
1.0ms
y
@-inf
(/ 1 (- (+ (cos y) x) (* z (sin y))))
1.0ms
y
@inf
(/ 1 (- (+ (cos y) x) (* z (sin y))))

rewrite879.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
7348×accelerator-lowering-fma.f32
7348×accelerator-lowering-fma.f64
4286×*-lowering-*.f32
4286×*-lowering-*.f64
4028×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02389
113389
2113989
0838588
Stop Event
iter limit
node limit
Counts
16 → 612
Calls
Call 1
Inputs
(/ 1 (/ 1 (- (+ (cos y) x) (* z (sin y)))))
(* z (sin y))
(/ 1 (- (+ (cos y) x) (* z (sin y))))
(cos y)
(+ x 1)
(* z (* 1/6 (* y (* y y))))
(* 1/6 (* y (* y y)))
(* y (* y y))
(* y y)
(* y (- (* y -1/2) z))
(* y -1/2)
(+ 1 x)
(+ (+ 1 x) (* y (- (* y -1/2) z)))
(+ (cos y) x)
(- (+ (cos y) x) (* z (sin y)))
(- (* y -1/2) z)
Outputs
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) #s(literal 1 binary64)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (cos.f64 y) x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (+.f64 (cos.f64 y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
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(+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal -1 binary64) z (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 z z))) (*.f64 (+.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 z z) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z))))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z (*.f64 y #s(literal -1/2 binary64))))))

simplify831.0ms (5.6%)

Algorithm
egg-herbie
Rules
10528×accelerator-lowering-fma.f32
10528×accelerator-lowering-fma.f64
5178×+-lowering-+.f64
5178×+-lowering-+.f32
4658×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03543235
110633180
232713061
082372973
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(+ 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)))
(- (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)))
(+ 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)))))
(* 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 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* 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)))
(+ (* 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)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(/ 1 x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* 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))
(* -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))
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
(+ 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)))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* y z))
(* y (+ (* -1 z) (* -1/2 y)))
(* y (+ (* -1 z) (* -1/2 y)))
(* y (+ (* -1 z) (* -1/2 y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* -1/2 (pow y 2))
(+ (* -1 (* y z)) (* -1/2 (pow y 2)))
(+ (* -1 (* y z)) (* -1/2 (pow y 2)))
(+ (* -1 (* y z)) (* -1/2 (pow y 2)))
(* -1 (* y z))
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))
(* -1 (* y z))
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
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 (* y (- (* -1/2 y) z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(+ 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 x)
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(+ 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)))
(- (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)))
(+ 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)))))
(* -1 z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(* -1/2 y)
(* y (- (* -1 (/ z y)) 1/2))
(* y (- (* -1 (/ z y)) 1/2))
(* y (- (* -1 (/ z y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1/2 y)
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(* -1 z)
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
Outputs
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) 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 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (+.f64 z (*.f64 (*.f64 y (*.f64 y z)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 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 (*.f64 y (*.f64 y (+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y z)) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))))
(* 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 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+ (* 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)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)))) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(+ (* 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)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (/.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))))))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 (- (cos y) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
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(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) x))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(*.f64 x (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(*.f64 x (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(*.f64 x (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(*.f64 y (*.f64 y (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(*.f64 y (*.f64 y (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y)))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y)))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(* -1 (* y z))
(*.f64 y (-.f64 #s(literal 0 binary64) z))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(*.f64 z (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x z) y))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(*.f64 z (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x z) y))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(*.f64 z (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x z) y))))
(* -1 (* y z))
(*.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) z))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) z))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) z))))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64))))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))))))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(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 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)))
(* x (+ 1 (/ (cos y) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)))
(* x (+ 1 (/ (cos y) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* -1/2 y) z)
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(- (* -1/2 y) z)
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(- (* -1/2 y) z)
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* -1 (/ z y)) 1/2))
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* y (- (* -1 (/ z y)) 1/2))
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* y (- (* -1 (/ z y)) 1/2))
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (/ z y))))
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* -1 (* y (+ 1/2 (/ z y))))
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* -1 (* y (+ 1/2 (/ z y))))
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1 z) (* -1/2 y))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(+ (* -1 z) (* -1/2 y))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(+ (* -1 z) (* -1/2 y))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* -1/2 (/ y z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(* z (- (* -1/2 (/ y z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(* z (- (* -1/2 (/ y z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(-.f64 (*.f64 (*.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(-.f64 (*.f64 (*.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(-.f64 (*.f64 (*.f64 z (/.f64 y z)) #s(literal -1/2 binary64)) z)

eval249.0ms (1.7%)

Compiler

Compiled 26046 to 12828 computations (50.7% saved)

prune171.0ms (1.1%)

Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New1024151039
Fresh31215
Picked325
Done022
Total1030311061
Accuracy
100.0%
Counts
1061 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
27.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 x (*.f64 z (sin.f64 y))))
26.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
45.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
60.8%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
90.5%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
55.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
39.3%
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
69.3%
(-.f64 x (*.f64 z (sin.f64 y)))
45.2%
(-.f64 x (*.f64 z y))
29.3%
(-.f64 #s(literal 1 binary64) (*.f64 y z))
49.3%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
50.1%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
47.3%
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
74.8%
(+.f64 (cos.f64 y) x)
65.9%
(+.f64 x #s(literal 1 binary64))
28.5%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
28.9%
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
53.4%
(*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
43.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
24.2%
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
5.6%
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
3.2%
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
54.6%
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
9.5%
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
26.1%
(*.f64 z (neg.f64 (sin.f64 y)))
50.9%
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
2.9%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
30.9%
(cos.f64 y)
45.6%
x
22.5%
#s(literal 1 binary64)
Compiler

Compiled 964 to 651 computations (32.5% saved)

localize1.1s (7.4%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))
cost-diff128
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
cost-diff0
(*.f64 y y)
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff128
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) z)
cost-diff0
(*.f64 y #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
accuracy96.5%
(*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x)))
accuracy89.6%
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))
accuracy86.8%
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
accuracy34.7%
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y y)
accuracy81.9%
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
accuracy100.0%
(*.f64 y y)
accuracy99.8%
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
accuracy99.5%
(*.f64 y #s(literal 1/6 binary64))
accuracy89.7%
(*.f64 (*.f64 y y) z)
accuracy100.0%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
Rules
10784×accelerator-lowering-fma.f32
10784×accelerator-lowering-fma.f64
4482×*-lowering-*.f32
4482×*-lowering-*.f64
2408×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034287
197283
2301283
31197283
45937271
08365261
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ x 1) (* z (sin y)))
(+ x 1)
x
1
(* z (sin y))
z
(sin y)
y
(* (* y 1/6) (* (* y y) z))
(* y 1/6)
1/6
(* (* y y) z)
(* y y)
(+ (+ 1 x) (* (* y y) (- -1/2 (/ z y))))
(+ 1 x)
(* (* y y) (- -1/2 (/ z y)))
(- -1/2 (/ z y))
-1/2
(/ z y)
(* (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))) (/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))))
(+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z)))))
(* (+ 1 x) (* (+ 1 x) (+ 1 x)))
(* (+ 1 x) (+ 1 x))
(* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))
(* y (* y y))
(* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z)))
(- (* y -1/2) z)
(* y -1/2)
(* (- (* y -1/2) z) (- (* y -1/2) z))
(/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x)))))
(+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))
(* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x)))
(* y (- (* y -1/2) z))
(- (* y (- (* y -1/2) z)) (+ 1 x))
Outputs
(- (+ x 1) (* z (sin y)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
y
(* (* y 1/6) (* (* y y) z))
(*.f64 z (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* y y) z)
(*.f64 z (*.f64 y y))
(* y y)
(*.f64 y y)
(+ (+ 1 x) (* (* y y) (- -1/2 (/ z y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(* (* y y) (- -1/2 (/ z y)))
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))
(- -1/2 (/ z y))
(-.f64 #s(literal -1/2 binary64) (/.f64 z y))
-1/2
#s(literal -1/2 binary64)
(/ z y)
(/.f64 z y)
(* (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))) (/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))))
(/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 #s(literal -1 binary64) x)))))
(+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z)))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))))
(* (+ 1 x) (* (+ 1 x) (+ 1 x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(* (+ 1 x) (+ 1 x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))
(*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 y (*.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))
(* y (* y y))
(*.f64 y (*.f64 y y))
(* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z)))
(*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(- (* y -1/2) z)
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
(* (- (* y -1/2) z) (- (* y -1/2) z))
(*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))
(/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 #s(literal -1 binary64) x)))))
(+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 #s(literal -1 binary64) x))))
(* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x)))
(*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 #s(literal -1 binary64) x)))
(* y (- (* y -1/2) z))
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))
(- (* y (- (* y -1/2) z)) (+ 1 x))
(+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 #s(literal -1 binary64) x))
Results
349.0ms256×0valid
Compiler

Compiled 376 to 214 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-mult: 125.0ms (45.8% of total)
ival-add: 68.0ms (24.9% of total)
ival-sub: 58.0ms (21.2% of total)
const: 8.0ms (2.9% of total)
ival-sin: 8.0ms (2.9% of total)
ival-div: 6.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series61.0ms (0.4%)

Counts
16 → 372
Calls
Call 1
Inputs
#<alt (* z (sin y))>
#<alt (sin y)>
#<alt (+ x 1)>
#<alt (- (+ x 1) (* z (sin y)))>
#<alt (* (* y y) z)>
#<alt (* y 1/6)>
#<alt (* (* y 1/6) (* (* y y) z))>
#<alt (* y y)>
#<alt (* (* y y) (- -1/2 (/ z y)))>
#<alt (+ 1 x)>
#<alt (+ (+ 1 x) (* (* y y) (- -1/2 (/ z y))))>
#<alt (* (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))) (/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))))>
#<alt (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))>
#<alt (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z)))))>
#<alt (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x)))>
#<alt (* (+ 1 x) (* (+ 1 x) (+ 1 x)))>
Outputs
#<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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 1>
#<alt (+ 1 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 (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))>
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))>
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))>
#<alt (+ 1 (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1/2 y)))>
#<alt (* y (+ (* -1 z) (* -1/2 y)))>
#<alt (* 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)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))>
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))>
#<alt (+ (* -1 (* y z)) (* -1/2 (pow y 2)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))>
#<alt 1>
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#<alt (* -1 (* z (+ y (* -1 (/ (- (+ 1 (+ x (+ (* -1 (/ (- (* y (+ (* 1/4 (pow y 2)) (* 1/2 (pow y 2)))) (+ (* -1/2 (* y (- (* -1/2 (pow y 2)) (+ 1 x)))) (+ (/ (* (- (* -1 (pow y 2)) (+ 1 x)) (- (+ 1 (+ x (* y (+ (* -1 y) (* -1/2 y))))) (* -1 (pow y 2)))) y) (/ (pow (+ 1 x) 2) y)))) z)) (* y (+ (* -1 y) (* -1/2 y)))))) (* -1 (pow y 2))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ 1 (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (pow y 4)) (/ (pow (+ 1 x) 3) (pow y 2))) (+ (/ (* (+ (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x)))) (pow (+ 1 x) 2)) (- (+ 1 (+ x (* y (+ (* -1 y) (* -1/2 y))))) (* -1 (pow y 2)))) (pow y 2)) (/ (* (- (* -1 (pow y 2)) (+ 1 x)) (- (* y (+ (* 1/4 (pow y 2)) (* 1/2 (pow y 2)))) (+ (* -1/2 (* y (- (* -1/2 (pow y 2)) (+ 1 x)))) (+ (/ (* (- (* -1 (pow y 2)) (+ 1 x)) (- (+ 1 (+ x (* y (+ (* -1 y) (* -1/2 y))))) (* -1 (pow y 2)))) y) (/ (pow (+ 1 x) 2) y))))) y))) z)) (* y (+ (* 1/4 (pow y 2)) (* 1/2 (pow y 2))))) (+ (* -1/2 (* y (- (* -1/2 (pow y 2)) (+ 1 x)))) (+ (/ (* (- (* -1 (pow y 2)) (+ 1 x)) (- (+ 1 (+ x (* y (+ (* -1 y) (* -1/2 y))))) (* -1 (pow y 2)))) y) (/ (pow (+ 1 x) 2) y)))) z)) (* y (+ (* -1 y) (* -1/2 y)))))) (* -1 (pow y 2))) z)))))>
#<alt (* -1 (* (pow y 3) (pow z 3)))>
#<alt (* (pow y 3) (+ (* -1 (pow z 3)) (* y (+ (* -1 (pow z 2)) (* -1/2 (pow z 2))))))>
#<alt (* (pow y 3) (+ (* -1 (pow z 3)) (* y (+ (* -1 (pow z 2)) (+ (* -1/2 (pow z 2)) (* y (+ (* -1/2 z) (* -1/4 z))))))))>
#<alt (* (pow y 3) (+ (* -1 (pow z 3)) (* y (+ (* -1 (pow z 2)) (+ (* -1/2 (pow z 2)) (* y (+ (* -1/2 z) (+ (* -1/4 z) (* -1/8 y)))))))))>
#<alt (* -1/8 (pow y 6))>
#<alt (* (pow y 6) (- (* -1 (/ (+ (* 1/4 z) (* 1/2 z)) y)) 1/8))>
#<alt (* (pow y 6) (- (+ (* -1 (/ (+ (* 1/4 z) (* 1/2 z)) y)) (* -1 (/ (+ (* 1/2 (pow z 2)) (pow z 2)) (pow y 2)))) 1/8))>
#<alt (* (pow y 6) (- (+ (* -1 (/ (+ (* 1/4 z) (* 1/2 z)) y)) (+ (* -1 (/ (+ (* 1/2 (pow z 2)) (pow z 2)) (pow y 2))) (* -1 (/ (pow z 3) (pow y 3))))) 1/8))>
#<alt (* -1/8 (pow y 6))>
#<alt (* (pow y 6) (- (+ (* -1/2 (/ z y)) (* -1/4 (/ z y))) 1/8))>
#<alt (* (pow y 6) (- (* -1 (/ (+ (* -1 (+ (* -1/2 z) (* -1/4 z))) (+ (* 1/2 (/ (pow z 2) y)) (/ (pow z 2) y))) y)) 1/8))>
#<alt (* (pow y 6) (- (* -1 (/ (+ (* -1 (+ (* -1/2 z) (* -1/4 z))) (* -1 (/ (+ (* -1 (+ (* 1/2 (pow z 2)) (pow z 2))) (* -1 (/ (pow z 3) y))) y))) y)) 1/8))>
#<alt (* -1/8 (pow y 6))>
#<alt (+ (* -1/8 (pow y 6)) (* (pow y 3) (* z (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2))))))>
#<alt (+ (* -1/8 (pow y 6)) (* z (+ (* (pow y 3) (* z (+ (* -1 y) (* -1/2 y)))) (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))))))>
#<alt (+ (* -1/8 (pow y 6)) (* z (+ (* z (+ (* -1 (* (pow y 3) z)) (* (pow y 3) (+ (* -1 y) (* -1/2 y))))) (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))))))>
#<alt (* -1 (* (pow y 3) (pow z 3)))>
#<alt (* (pow z 3) (+ (* -1 (pow y 3)) (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z)))>
#<alt (* (pow z 3) (+ (* -1 (pow y 3)) (+ (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z) (/ (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))) (pow z 2)))))>
#<alt (* (pow z 3) (+ (* -1 (pow y 3)) (+ (* -1/8 (/ (pow y 6) (pow z 3))) (+ (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z) (/ (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))) (pow z 2))))))>
#<alt (* -1 (* (pow y 3) (pow z 3)))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z)) (pow y 3))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow y 3) (+ (* 1/4 (pow y 2)) (* 1/2 (pow y 2)))) z)) (* (pow y 3) (+ (* -1 y) (* -1/2 y)))) z)) (pow y 3))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ (pow y 6) z)) (* (pow y 3) (+ (* 1/4 (pow y 2)) (* 1/2 (pow y 2))))) z)) (* (pow y 3) (+ (* -1 y) (* -1/2 y)))) z)) (pow y 3))))>
#<alt (+ 1 (* (pow y 3) (pow (- (* -1/2 y) z) 3)))>
#<alt (+ 1 (+ (* 3 x) (* (pow y 3) (pow (- (* -1/2 y) z) 3))))>
#<alt (+ 1 (+ (* x (+ 3 (* 3 x))) (* (pow y 3) (pow (- (* -1/2 y) z) 3))))>
#<alt (+ 1 (+ (* x (+ 3 (* x (+ 3 x)))) (* (pow y 3) (pow (- (* -1/2 y) z) 3))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (+ (/ 1 (pow x 3)) (+ (/ 3 (pow x 2)) (/ (* (pow y 3) (pow (- (* -1/2 y) z) 3)) (pow x 3)))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1 (* (pow y 3) (pow (- (* -1/2 y) z) 3))) x)) 3) x))) x)) 1)))>
#<alt (pow (+ 1 x) 3)>
#<alt (+ (* -1 (* (pow y 3) (pow z 3))) (pow (+ 1 x) 3))>
#<alt (+ (* (pow y 3) (+ (* -1 (pow z 3)) (* y (+ (* -1 (pow z 2)) (* -1/2 (pow z 2)))))) (pow (+ 1 x) 3))>
#<alt (+ (* (pow y 3) (+ (* -1 (pow z 3)) (* y (+ (* -1 (pow z 2)) (+ (* -1/2 (pow z 2)) (* y (+ (* -1/2 z) (* -1/4 z)))))))) (pow (+ 1 x) 3))>
#<alt (* -1/8 (pow y 6))>
#<alt (* (pow y 6) (- (* -1 (/ (+ (* 1/4 z) (* 1/2 z)) y)) 1/8))>
#<alt (* (pow y 6) (- (+ (* -1 (/ (+ (* 1/4 z) (* 1/2 z)) y)) (* -1 (/ (+ (* 1/2 (pow z 2)) (pow z 2)) (pow y 2)))) 1/8))>
#<alt (* (pow y 6) (- (+ (* -1 (/ (+ (* 1/4 z) (* 1/2 z)) y)) (+ (* -1 (/ (+ (* 1/2 (pow z 2)) (pow z 2)) (pow y 2))) (* -1 (/ (pow z 3) (pow y 3))))) 1/8))>
#<alt (* -1/8 (pow y 6))>
#<alt (* (pow y 6) (- (+ (* -1/2 (/ z y)) (* -1/4 (/ z y))) 1/8))>
#<alt (* (pow y 6) (- (* -1 (/ (+ (* -1 (+ (* -1/2 z) (* -1/4 z))) (+ (* 1/2 (/ (pow z 2) y)) (/ (pow z 2) y))) y)) 1/8))>
#<alt (* (pow y 6) (- (* -1 (/ (+ (* -1 (+ (* -1/2 z) (* -1/4 z))) (* -1 (/ (+ (* -1 (+ (* 1/2 (pow z 2)) (pow z 2))) (* -1 (/ (pow z 3) y))) y))) y)) 1/8))>
#<alt (+ (* -1/8 (pow y 6)) (pow (+ 1 x) 3))>
#<alt (+ (* -1/8 (pow y 6)) (+ (* (pow y 3) (* z (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2))))) (pow (+ 1 x) 3)))>
#<alt (+ (* -1/8 (pow y 6)) (+ (* z (+ (* (pow y 3) (* z (+ (* -1 y) (* -1/2 y)))) (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))))) (pow (+ 1 x) 3)))>
#<alt (+ (* -1/8 (pow y 6)) (+ (* z (+ (* z (+ (* -1 (* (pow y 3) z)) (* (pow y 3) (+ (* -1 y) (* -1/2 y))))) (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))))) (pow (+ 1 x) 3)))>
#<alt (* -1 (* (pow y 3) (pow z 3)))>
#<alt (* (pow z 3) (+ (* -1 (pow y 3)) (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z)))>
#<alt (* (pow z 3) (+ (* -1 (pow y 3)) (+ (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z) (/ (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))) (pow z 2)))))>
#<alt (* (pow z 3) (+ (* -1 (pow y 3)) (+ (* -1/8 (/ (pow y 6) (pow z 3))) (+ (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z) (+ (/ (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))) (pow z 2)) (/ (pow (+ 1 x) 3) (pow z 3)))))))>
#<alt (* -1 (* (pow y 3) (pow z 3)))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z)) (pow y 3))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow y 3) (+ (* 1/4 (pow y 2)) (* 1/2 (pow y 2)))) z)) (* (pow y 3) (+ (* -1 y) (* -1/2 y)))) z)) (pow y 3))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow y 6)) (pow (+ 1 x) 3)) z)) (* (pow y 3) (+ (* 1/4 (pow y 2)) (* 1/2 (pow y 2))))) z)) (* (pow y 3) (+ (* -1 y) (* -1/2 y)))) z)) (pow y 3))))>
#<alt (* y (* z (+ 1 x)))>
#<alt (* y (+ (* y (+ (* 1/2 (+ 1 x)) (pow z 2))) (* z (+ 1 x))))>
#<alt (* y (+ (* y (+ (* 1/2 (+ 1 x)) (+ (* y z) (pow z 2)))) (* z (+ 1 x))))>
#<alt (* y (+ (* y (+ (* 1/2 (+ 1 x)) (+ (* y (+ z (* 1/4 y))) (pow z 2)))) (* z (+ 1 x))))>
#<alt (* 1/4 (pow y 4))>
#<alt (* (pow y 4) (+ 1/4 (/ z y)))>
#<alt (* (pow y 4) (+ 1/4 (+ (* -1 (/ (+ (* -1 (pow z 2)) (* -1/2 (+ 1 x))) (pow y 2))) (/ z y))))>
#<alt (* (pow y 4) (+ 1/4 (+ (* -1 (/ (+ (* -1 (pow z 2)) (* -1/2 (+ 1 x))) (pow y 2))) (+ (/ z y) (/ (* z (+ 1 x)) (pow y 3))))))>
#<alt (* 1/4 (pow y 4))>
#<alt (* (pow y 4) (+ 1/4 (/ z y)))>
#<alt (* (pow y 4) (+ 1/4 (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (pow z 2) y)) (* -1/2 (/ (+ 1 x) y)))) y))))>
#<alt (* (pow y 4) (+ 1/4 (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (+ (* -1 (pow z 2)) (* -1/2 (+ 1 x)))) (/ (* z (+ 1 x)) y)) y))) y))))>
#<alt (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))))>
#<alt (+ (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x)))) (* y (* z (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2))))))>
#<alt (+ (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x)))) (* z (+ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) (* (pow y 2) z))))>
#<alt (+ (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x)))) (* z (+ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) (* (pow y 2) z))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (/ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) z) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) (pow z 2))) (+ (/ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) z) (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) (pow z 2))) (+ (/ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) z) (pow y 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* y (- (* -1 (pow y 2)) (+ 1 x))) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) z)) (* y (- (* -1 (pow y 2)) (+ 1 x)))) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) z)) (* y (- (* -1 (pow y 2)) (+ 1 x)))) z)) (pow y 2)))>
#<alt (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1)))>
#<alt (+ (* -1 (* x (* y (- (* -1/2 y) z)))) (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))))>
#<alt (+ (* -1 (* x (* y (- (* -1/2 y) z)))) (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))))>
#<alt (+ (* -1 (* x (* y (- (* -1/2 y) z)))) (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))))>
#<alt (* -1 (* x (* y (- (* -1/2 y) z))))>
#<alt (* x (+ (* -1 (* y (- (* -1/2 y) z))) (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)))>
#<alt (* x (+ (* -1 (* y (- (* -1/2 y) z))) (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)))>
#<alt (* x (+ (* -1 (* y (- (* -1/2 y) z))) (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)))>
#<alt (* -1 (* x (* y (- (* -1/2 y) z))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)) (* y (- (* -1/2 y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)) (* y (- (* -1/2 y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)) (* y (- (* -1/2 y) z)))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 3 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 3 x)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1)))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
(* (* y y) (- -1/2 (/ z y)))
3.0ms
y
@inf
(* (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))) (/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))))
3.0ms
y
@-inf
(* (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))) (/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))))
3.0ms
z
@0
(* (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))) (/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))))
2.0ms
z
@0
(* (* y y) (- -1/2 (/ z y)))

rewrite1.2s (8.1%)

Algorithm
batch-egg-rewrite
Rules
8404×accelerator-lowering-fma.f32
8404×accelerator-lowering-fma.f64
3920×*-lowering-*.f32
3920×*-lowering-*.f64
3614×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034157
1223149
22127149
08423145
Stop Event
iter limit
node limit
Counts
16 → 562
Calls
Call 1
Inputs
(* z (sin y))
(sin y)
(+ x 1)
(- (+ x 1) (* z (sin y)))
(* (* y y) z)
(* y 1/6)
(* (* y 1/6) (* (* y y) z))
(* y y)
(* (* y y) (- -1/2 (/ z y)))
(+ 1 x)
(+ (+ 1 x) (* (* y y) (- -1/2 (/ z y))))
(* (+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))) (/ 1 (+ (* (+ 1 x) (+ 1 x)) (* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x))))))
(* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z))))
(+ (* (+ 1 x) (* (+ 1 x) (+ 1 x))) (* (* y (* y y)) (* (- (* y -1/2) z) (* (- (* y -1/2) z) (- (* y -1/2) z)))))
(* (* y (- (* y -1/2) z)) (- (* y (- (* y -1/2) z)) (+ 1 x)))
(* (+ 1 x) (* (+ 1 x) (+ 1 x)))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
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(/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))

simplify983.0ms (6.6%)

Algorithm
egg-herbie
Rules
9920×accelerator-lowering-fma.f32
9920×accelerator-lowering-fma.f64
7160×+-lowering-+.f64
7160×+-lowering-+.f32
5176×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08688081
128987764
082517308
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
1
(+ 1 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 (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
x
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ 1 z) (/ x z)) (sin y)))
(* z (- (+ (/ 1 z) (/ x z)) (sin y)))
(* z (- (+ (/ 1 z) (/ x z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
(+ 1 (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* y z))
(* y (+ (* -1 z) (* -1/2 y)))
(* y (+ (* -1 z) (* -1/2 y)))
(* y (+ (* -1 z) (* -1/2 y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* -1/2 (pow y 2))
(+ (* -1 (* y z)) (* -1/2 (pow y 2)))
(+ (* -1 (* y z)) (* -1/2 (pow y 2)))
(+ (* -1 (* y z)) (* -1/2 (pow y 2)))
(* -1 (* y z))
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))
(* z (+ (* -1 y) (* -1/2 (/ (pow y 2) z))))
(* -1 (* y z))
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))
(* -1 (* z (+ y (* 1/2 (/ (pow y 2) z)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
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(* (pow z 3) (+ (* -1 (pow y 3)) (+ (* -1/8 (/ (pow y 6) (pow z 3))) (+ (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z) (/ (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))) (pow z 2))))))
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(* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (+ (/ 1 (pow x 3)) (+ (/ 3 (pow x 2)) (/ (* (pow y 3) (pow (- (* -1/2 y) z) 3)) (pow x 3)))))))
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(pow (+ 1 x) 3)
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(* (pow z 3) (+ (* -1 (pow y 3)) (+ (* -1/8 (/ (pow y 6) (pow z 3))) (+ (/ (* (pow y 3) (+ (* -1 y) (* -1/2 y))) z) (+ (/ (* (pow y 3) (+ (* -1/2 (pow y 2)) (* -1/4 (pow y 2)))) (pow z 2)) (/ (pow (+ 1 x) 3) (pow z 3)))))))
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(* y (* z (+ 1 x)))
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1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 3 x))))
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(pow x 3)
(* (pow x 3) (+ 1 (* 3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(pow x 3)
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Outputs
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(* z (sin y))
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(* z (sin y))
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(* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x)))) (* y (* z (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(+ (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x)))) (* z (+ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) (* (pow y 2) z))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 z (+.f64 (*.f64 z (*.f64 y y)) (*.f64 y (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))))))
(+ (* -1/2 (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x)))) (* z (+ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) (* (pow y 2) z))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 z (+.f64 (*.f64 z (*.f64 y y)) (*.f64 y (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))))))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 z y) (*.f64 z y))
(* (pow z 2) (+ (/ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) z) (pow y 2)))
(*.f64 (*.f64 z z) (*.f64 y (+.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z))))
(* (pow z 2) (+ (* -1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) (pow z 2))) (+ (/ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) z) (pow y 2))))
(*.f64 (*.f64 z z) (+.f64 (*.f64 y (+.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 z z))))
(* (pow z 2) (+ (* -1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) (pow z 2))) (+ (/ (* y (+ (* -1 (- (* -1/2 (pow y 2)) (+ 1 x))) (* 1/2 (pow y 2)))) z) (pow y 2))))
(*.f64 (*.f64 z z) (+.f64 (*.f64 y (+.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 z z))))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 z y) (*.f64 z y))
(* (pow z 2) (+ (* -1 (/ (* y (- (* -1 (pow y 2)) (+ 1 x))) z)) (pow y 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y y) (/.f64 (*.f64 y (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) x))) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) z)) (* y (- (* -1 (pow y 2)) (+ 1 x)))) z)) (pow y 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y y) (/.f64 (+.f64 (*.f64 y (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)) z)))) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow y 2) (- (* -1/2 (pow y 2)) (+ 1 x))) z)) (* y (- (* -1 (pow y 2)) (+ 1 x)))) z)) (pow y 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y y) (/.f64 (+.f64 (*.f64 y (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x)) z)))) z)))
(* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1)))
(*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))))
(+ (* -1 (* x (* y (- (* -1/2 y) z)))) (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))))
(-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) (*.f64 (*.f64 x y) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+ (* -1 (* x (* y (- (* -1/2 y) z)))) (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))))
(-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) (*.f64 (*.f64 x y) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+ (* -1 (* x (* y (- (* -1/2 y) z)))) (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))))
(-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) (*.f64 (*.f64 x y) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(* -1 (* x (* y (- (* -1/2 y) z))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(* x (+ (* -1 (* y (- (* -1/2 y) z))) (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(* x (+ (* -1 (* y (- (* -1/2 y) z))) (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(* x (+ (* -1 (* y (- (* -1/2 y) z))) (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(* -1 (* x (* y (- (* -1/2 y) z))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(* -1 (* x (+ (* -1 (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)) (* y (- (* -1/2 y) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) x))))
(* -1 (* x (+ (* -1 (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)) (* y (- (* -1/2 y) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) x))))
(* -1 (* x (+ (* -1 (/ (* y (* (- (* -1/2 y) z) (- (* y (- (* -1/2 y) z)) 1))) x)) (* y (- (* -1/2 y) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))) x))))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 (* 3 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 3 binary64))))
(+ 1 (* x (+ 3 (* x (+ 3 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* 3 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))
(* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (/ 3 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3 binary64) (*.f64 x x))))))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* 3 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 x))) x)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) x)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) x) #s(literal -1 binary64))))

eval879.0ms (5.9%)

Compiler

Compiled 87023 to 53945 computations (38% saved)

prune300.0ms (2%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New140061406
Fresh12122
Picked325
Done044
Total1404331437
Accuracy
100.0%
Counts
1437 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
27.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 x (*.f64 z (sin.f64 y))))
26.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
45.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
60.8%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
55.5%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
39.3%
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
69.3%
(-.f64 x (*.f64 z (sin.f64 y)))
45.2%
(-.f64 x (*.f64 z y))
22.3%
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
46.7%
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
29.3%
(-.f64 #s(literal 1 binary64) (*.f64 y z))
49.5%
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
49.3%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
50.1%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
74.8%
(+.f64 (cos.f64 y) x)
65.9%
(+.f64 x #s(literal 1 binary64))
28.5%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
28.9%
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
53.4%
(*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
43.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
1.3%
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
5.6%
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
2.9%
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
3.2%
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
54.6%
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
49.6%
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
9.5%
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
26.1%
(*.f64 z (neg.f64 (sin.f64 y)))
50.9%
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
30.9%
(cos.f64 y)
45.6%
x
22.5%
#s(literal 1 binary64)
Compiler

Compiled 1288 to 742 computations (42.4% saved)

regimes72.0ms (0.5%)

Counts
49 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 x (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

20.0ms
y
20.0ms
x
15.0ms
z
13.0ms
(-.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)

regimes84.0ms (0.6%)

Counts
41 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
Calls

3 calls:

29.0ms
x
28.0ms
z
21.0ms
y
Results
AccuracySegmentsBranch
99.4%3x
92.2%2y
99.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.3%)

Counts
40 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
Outputs
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
Calls

2 calls:

30.0ms
z
11.0ms
x
Results
AccuracySegmentsBranch
99.4%3z
90.5%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes100.0ms (0.7%)

Counts
38 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

40.0ms
z
29.0ms
x
27.0ms
y
Results
AccuracySegmentsBranch
89.4%3x
89.8%3y
93.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes99.0ms (0.7%)

Counts
37 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
Calls

3 calls:

36.0ms
z
33.0ms
x
26.0ms
y
Results
AccuracySegmentsBranch
84.0%3x
82.2%3y
86.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.3%)

Counts
36 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
Outputs
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
Calls

1 calls:

40.0ms
z
Results
AccuracySegmentsBranch
84.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes68.0ms (0.5%)

Counts
35 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

25.0ms
y
25.0ms
z
11.0ms
x
Results
AccuracySegmentsBranch
82.2%3y
74.8%1x
80.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes120.0ms (0.8%)

Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
(cos.f64 y)
Outputs
(+.f64 #s(literal 1 binary64) x)
(cos.f64 y)
(+.f64 #s(literal 1 binary64) x)
Calls

3 calls:

61.0ms
y
30.0ms
z
24.0ms
x
Results
AccuracySegmentsBranch
74.3%3x
71.7%3z
74.1%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes50.0ms (0.3%)

Counts
33 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3/2 binary64)))) (*.f64 y y))) z))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3/2 binary64)) z))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (*.f64 y (*.f64 (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))))))
Outputs
(+.f64 #s(literal 1 binary64) x)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))))
(+.f64 #s(literal 1 binary64) x)
Calls

2 calls:

24.0ms
x
24.0ms
y
Results
AccuracySegmentsBranch
73.5%3y
72.1%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 z y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))) x)
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(+.f64 #s(literal 1 binary64) x)
Calls

1 calls:

19.0ms
y
Results
AccuracySegmentsBranch
71.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(+.f64 #s(literal 1 binary64) x)
Calls

3 calls:

8.0ms
x
6.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
68.7%2z
71.4%3x
68.6%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
Outputs
(+.f64 #s(literal 1 binary64) x)
Calls

2 calls:

7.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
65.9%1z
65.9%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
x
#s(literal 1 binary64)
x
Calls

3 calls:

4.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
47.9%3y
64.8%3x
47.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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:

0.0ms
y
0.0ms
z
0.0ms
x
Results
AccuracySegmentsBranch
22.5%1z
22.5%1y
22.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.2740587883524145e-41
2.066444014225709e-27
20.0ms
-715843.8878546898
-343.5984573198975
Results
35.0ms288×0valid
Compiler

Compiled 432 to 319 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 10.0ms (43.1% of total)
ival-sin: 7.0ms (30.2% of total)
ival-add: 2.0ms (8.6% of total)
ival-mult: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.016963311106534686
212.31372782750043
24.0ms
-5688.176729577394
-4.969353268868003e-21
Results
31.0ms304×0valid
Compiler

Compiled 398 to 298 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 8.0ms (36.8% of total)
ival-cos: 7.0ms (32.2% of total)
ival-mult: 3.0ms (13.8% of total)
ival-add: 2.0ms (9.2% of total)
ival-sub: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
4.724136220185643e+62
6.663425619054301e+69
23.0ms
-6.984952920790322e+65
-7.876952037441076e+53
Results
36.0ms304×0valid
Compiler

Compiled 360 to 260 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 7.0ms (31.8% of total)
ival-mult: 6.0ms (27.3% of total)
ival-sin: 6.0ms (27.3% of total)
ival-add: 2.0ms (9.1% of total)
ival-sub: 1.0ms (4.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.3527111589611375e+107
6.1895323761308785e+112
8.0ms
-4.568924253212927e+200
-2.6159373212358873e+200
Results
20.0ms208×0valid
Compiler

Compiled 252 to 195 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 5.0ms (38% of total)
ival-sin: 4.0ms (30.4% of total)
ival-mult: 2.0ms (15.2% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
5.558018577542376e+196
3.4191833022769537e+199
13.0ms
-4.568924253212927e+200
-2.6159373212358873e+200
Results
26.0ms192×0valid
Compiler

Compiled 222 to 169 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 8.0ms (51.8% of total)
ival-sin: 4.0ms (25.9% of total)
ival-sub: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-mult: 1.0ms (6.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.702058325570221e-10
0.04004163806654263
17.0ms
-795.6664795882544
-79.57110275115441
Results
24.0ms240×0valid
Compiler

Compiled 453 to 328 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (42.1% of total)
ival-cos: 5.0ms (30.1% of total)
ival-mult: 2.0ms (12% of total)
ival-sub: 1.0ms (6% of total)
ival-add: 1.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.836550862099322e-25
8.615708999252839e-13
22.0ms
-343.5984573198975
-3.6791773551361197e-19
Results
34.0ms336×0valid
Compiler

Compiled 291 to 244 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 7.0ms (29.7% of total)
ival-sin: 7.0ms (29.7% of total)
ival-add: 5.0ms (21.2% of total)
ival-mult: 3.0ms (12.7% of total)
ival-sub: 2.0ms (8.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.702058325570221e-10
0.04004163806654263
28.0ms
-6.067591520835393e+19
-284771127250147.7
Results
34.0ms288×0valid
Compiler

Compiled 522 to 391 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 12.0ms (49% of total)
ival-sin: 6.0ms (24.5% of total)
ival-add: 2.0ms (8.2% of total)
ival-mult: 2.0ms (8.2% of total)
ival-sub: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
56.015723492695905
204.67972937771933
Results
16.0ms80×0valid
Compiler

Compiled 108 to 83 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 9.0ms (66.9% of total)
ival-sin: 3.0ms (22.3% of total)
ival-add: 1.0ms (7.4% of total)
ival-mult: 1.0ms (7.4% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
8.615708999252839e-13
0.2806530143015416
25.0ms
-2.951085209401559e-87
-1.0060031851681296e-98
Results
38.0ms320×0valid
Compiler

Compiled 338 to 273 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (34.5% of total)
ival-sin: 7.0ms (34.5% of total)
ival-mult: 3.0ms (14.8% of total)
ival-sub: 2.0ms (9.8% of total)
ival-add: 2.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.8748040683608986
517.4525838372409
26.0ms
-343.5984573198975
-3.6791773551361197e-19
Results
33.0ms303×0valid
1.0ms3valid
Compiler

Compiled 208 to 184 computations (11.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 7.0ms (29.2% of total)
ival-add: 6.0ms (25% of total)
ival-sin: 6.0ms (25% of total)
ival-mult: 2.0ms (8.3% of total)
ival-sub: 2.0ms (8.3% of total)
backward-pass: 0.0ms (0% of total)
const: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event
fuel
Compiler

Compiled 269 to 139 computations (48.3% saved)

preprocess88.0ms (0.6%)

Compiler

Compiled 562 to 294 computations (47.7% saved)

end0.0ms (0%)

Profiling

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