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

Time bar (total: 10.9s)

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (11.7%)

Memory
15.3MiB live, 1 887.3MiB allocated
Samples
940.0ms8 254×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 696.0ms
ival-sin: 270.0ms (38.8% of total)
ival-cos: 254.0ms (36.5% of total)
ival-add: 104.0ms (15% of total)
ival-mult: 57.0ms (8.2% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess63.0ms (0.6%)

Memory
-4.6MiB live, 34.0MiB allocated
Algorithm
egg-herbie
Rules
334×sub-neg
294×cancel-sign-sub-inv
286×associate-+l-
272×distribute-rgt-in
236×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
19282
223481
358881
4102981
5141481
6169681
7188881
8199581
9205581
10206981
089
1139
2209
3229
0228
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (+ x (sin y)) (* z (cos y)))
Outputs
(+ (+ x (sin y)) (* z (cos y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))

explain115.0ms (1.1%)

Memory
17.8MiB live, 255.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(+.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
54.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 14.0ms (40.4% of total)
ival-sin: 12.0ms (34.6% of total)
ival-add: 5.0ms (14.4% of total)
ival-mult: 3.0ms (8.7% of total)
ival-true: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11324
22024
32224
02223
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (+ x (sin y)) (* z (cos y)))
(+ x (sin y))
x
(sin y)
y
(* z (cos y))
z
(cos y)
Outputs
(+ (+ x (sin y)) (* z (cos y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+ x (sin y))
(+.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)

localize33.0ms (0.3%)

Memory
-6.5MiB live, 71.8MiB allocated
Localize:

Found 4 expressions of interest:

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

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 8.0ms (45.5% of total)
ival-cos: 6.0ms (34.1% of total)
ival-add: 2.0ms (11.4% of total)
ival-mult: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-20.2MiB live, 17.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (+ x (sin y)) (* z (cos y)))>
#<alt (+ x (sin y))>
#<alt (sin y)>
#<alt (* z (cos y))>
Outputs
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (sin y))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (sin y)>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt x>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
z
@0
(* z (cos y))
1.0ms
x
@0
(+ (+ x (sin y)) (* z (cos y)))
1.0ms
y
@inf
(+ (+ x (sin y)) (* z (cos y)))
0.0ms
z
@0
(+ (+ x (sin y)) (* z (cos y)))
0.0ms
y
@-inf
(+ (+ x (sin y)) (* z (cos y)))

rewrite361.0ms (3.3%)

Memory
42.1MiB live, 553.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 470×*-lowering-*.f32
4 470×*-lowering-*.f64
4 404×accelerator-lowering-fma.f32
4 404×accelerator-lowering-fma.f64
2 454×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
13819
235719
3553519
0830518
Stop Event
iter limit
node limit
Counts
4 → 171
Calls
Call 1
Inputs
(+ (+ x (sin y)) (* z (cos y)))
(+ x (sin y))
(sin y)
(* z (cos y))
Outputs
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(fma.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y)))
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y)))
(fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (*.f64 z (cos.f64 y)))
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(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))))
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(sin.f64 y)
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)

simplify585.0ms (5.4%)

Memory
-35.7MiB live, 416.0MiB allocated
Algorithm
egg-herbie
Rules
11 212×accelerator-lowering-fma.f32
11 212×accelerator-lowering-fma.f64
3 050×*-lowering-*.f32
3 050×*-lowering-*.f64
2 392×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096591
1282587
2797577
32037575
43964575
57253575
08423528
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
Outputs
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
x
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
x
(+ x y)
(+.f64 y x)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))

eval62.0ms (0.6%)

Memory
-7.7MiB live, 72.2MiB allocated
Compiler

Compiled 6 499 to 590 computations (90.9% saved)

prune39.0ms (0.4%)

Memory
24.7MiB live, 102.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New25116267
Fresh000
Picked101
Done000
Total25216268
Accuracy
100.0%
Counts
268 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
69.5%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
58.3%
(fma.f64 z (cos.f64 y) (sin.f64 y))
40.3%
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
40.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
46.4%
(+.f64 (+.f64 x (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) (*.f64 z (cos.f64 y)))
58.8%
(+.f64 (sin.f64 y) x)
66.2%
(+.f64 z x)
51.1%
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
57.5%
(+.f64 y (+.f64 z x))
48.5%
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
84.3%
(+.f64 x (*.f64 z (cos.f64 y)))
52.0%
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
43.4%
(*.f64 z (cos.f64 y))
43.2%
x
Compiler

Compiled 626 to 358 computations (42.8% saved)

simplify337.0ms (3.1%)

Memory
-28.9MiB live, 625.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
cost-diff576
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
cost-diff0
(cos.f64 (+.f64 y y))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))
cost-diff0
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))
cost-diff320
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
cost-diff0
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
cost-diff0
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff128
(+.f64 x (*.f64 z (cos.f64 y)))
Rules
14 308×accelerator-lowering-fma.f32
14 308×accelerator-lowering-fma.f64
3 284×+-lowering-+.f64
3 284×+-lowering-+.f32
2 990×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040297
1105295
2291293
3855293
42533293
56273293
08287274
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* z (cos y)))
x
(* z (cos y))
z
(cos y)
y
x
(+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z))
x
(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)
y
(+ (* y (+ (* y -1/6) (* z -1/2))) 1)
(+ (* y -1/6) (* z -1/2))
-1/6
(* z -1/2)
z
-1/2
1
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x)))
1/2
(+ (* 1/2 (cos (+ y y))) (* x x))
(cos (+ y y))
(+ y y)
y
(* x x)
x
(/ 1 (- (sin y) x))
1
(- (sin y) x)
(sin y)
(* z (cos y))
z
(cos y)
(/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))))
1
(/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))
(- (* z (cos y)) (+ x (sin y)))
(* z (cos y))
z
(cos y)
y
(+ x (sin y))
x
(sin y)
(+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))
(* z z)
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(neg (pow (+ x (sin y)) 2))
(pow (+ x (sin y)) 2)
2
Outputs
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
x
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
x
(+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z))
x
(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)
y
(+ (* y (+ (* y -1/6) (* z -1/2))) 1)
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ (* y -1/6) (* z -1/2))
(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
z
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))
(-.f64 (*.f64 z (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 (sin.f64 y) x)))
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ (* 1/2 (cos (+ y y))) (* x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(* x x)
(*.f64 x x)
x
(/ 1 (- (sin y) x))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))
1
#s(literal 1 binary64)
(- (sin y) x)
(-.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
(/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 z (cos.f64 (+.f64 y y)) z) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))
1
#s(literal 1 binary64)
(/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))
(/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 z (cos.f64 (+.f64 y y)) z) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(+ x (sin y))
(+.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
(+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))
(-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(* z z)
(*.f64 z z)
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
(neg (pow (+ x (sin y)) 2))
(neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(pow (+ x (sin y)) 2)
(pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize170.0ms (1.6%)

Memory
15.8MiB live, 289.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy90.4%
(fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
accuracy53.2%
(/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))
accuracy99.8%
(*.f64 z (cos.f64 y))
accuracy85.9%
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))
accuracy73.5%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
accuracy100.0%
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
accuracy100.0%
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
accuracy99.7%
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 x (*.f64 z (cos.f64 y)))
accuracy99.8%
(*.f64 z (cos.f64 y))
Samples
73.0ms207×0valid
28.0ms41×1valid
6.0ms2valid
1.0ms3valid
Compiler

Compiled 286 to 42 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-cos: 20.0ms (24.6% of total)
ival-mult: 17.0ms (20.9% of total)
ival-add: 14.0ms (17.2% of total)
ival-div: 6.0ms (7.4% of total)
ival-sin: 6.0ms (7.4% of total)
adjust: 5.0ms (6.1% of total)
ival-sub: 4.0ms (4.9% of total)
const: 4.0ms (4.9% of total)
ival-pow2: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory
-20.5MiB live, 66.2MiB allocated
Counts
17 → 456
Calls
Call 1
Inputs
#<alt (+ x (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z))>
#<alt (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)>
#<alt (+ (* y (+ (* y -1/6) (* z -1/2))) 1)>
#<alt (+ (* y -1/6) (* z -1/2))>
#<alt (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))>
#<alt (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x)))>
#<alt (+ (* 1/2 (cos (+ y y))) (* x x))>
#<alt (cos (+ y y))>
#<alt (/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (/ 1 (- (sin y) x))>
#<alt (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))>
Outputs
#<alt (* z (cos y))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt x>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))>
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z)) y)))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))>
#<alt (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))>
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#<alt (+ (* z (+ (* -1 (/ (cos y) (pow (+ x (sin y)) 2))) (* z (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ x (sin y)) 4))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (+ x (sin y)) 3))))))) (/ 1 (+ x (sin y))))>
#<alt (/ (cos y) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (+ (* -1 (/ (+ x (sin y)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)>
#<alt (/ (+ (* -1 (/ (+ x (sin y)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) z)>
#<alt (/ (- (+ (* -1 (/ (+ x (sin y)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* -1 (/ (pow (+ x (sin y)) 3) (* (pow z 3) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (cos y) (pow (+ x (sin y)) 2)) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) z)>
#<alt (/ (cos y) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ x (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (sin y) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (+ x (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (+ x (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (- (/ (pow (+ x (sin y)) 3) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) z))) z))) z))>
#<alt (/ (- z x) (- (pow z 2) (pow x 2)))>
#<alt (- (+ (* -1 (* y (+ (* -2 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2))) (/ 1 (- (pow z 2) (pow x 2)))))) (/ z (- (pow z 2) (pow x 2)))) (/ x (- (pow z 2) (pow x 2))))>
#<alt (- (+ (* y (- (* y (- (* -1/2 (/ z (- (pow z 2) (pow x 2)))) (+ (* 2 (/ (* x (+ (* -2 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2))) (/ 1 (- (pow z 2) (pow x 2))))) (- (pow z 2) (pow x 2)))) (/ (* (- z x) (- (* -1 (pow z 2)) 1)) (pow (- (pow z 2) (pow x 2)) 2))))) (+ (* -2 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2))) (/ 1 (- (pow z 2) (pow x 2)))))) (/ z (- (pow z 2) (pow x 2)))) (/ x (- (pow z 2) (pow x 2))))>
#<alt (- (+ (* y (- (* y (- (+ (* -1/2 (/ z (- (pow z 2) (pow x 2)))) (* y (- (* 1/6 (/ 1 (- (pow z 2) (pow x 2)))) (+ (* -2 (/ (* x (- (* -1/2 (/ z (- (pow z 2) (pow x 2)))) (+ (* 2 (/ (* x (+ (* -2 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2))) (/ 1 (- (pow z 2) (pow x 2))))) (- (pow z 2) (pow x 2)))) (/ (* (- z x) (- (* -1 (pow z 2)) 1)) (pow (- (pow z 2) (pow x 2)) 2))))) (- (pow z 2) (pow x 2)))) (+ (* -1 (/ (* (+ (* -2 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2))) (/ 1 (- (pow z 2) (pow x 2)))) (- (* -1 (pow z 2)) 1)) (- (pow z 2) (pow x 2)))) (* 1/3 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2)))))))) (+ (* 2 (/ (* x (+ (* -2 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2))) (/ 1 (- (pow z 2) (pow x 2))))) (- (pow z 2) (pow x 2)))) (/ (* (- z x) (- (* -1 (pow z 2)) 1)) (pow (- (pow z 2) (pow x 2)) 2))))) (+ (* -2 (/ (* x (- z x)) (pow (- (pow z 2) (pow x 2)) 2))) (/ 1 (- (pow z 2) (pow x 2)))))) (/ z (- (pow z 2) (pow x 2)))) (/ x (- (pow z 2) (pow x 2))))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)))>
#<alt (/ (- (* z (cos y)) (sin y)) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))>
#<alt (- (+ (* -1 (* x (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (/ (* z (cos y)) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (sin y) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))>
#<alt (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (- (* z (cos y)) (sin y)) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (* 2 (/ (* (sin y) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (/ (* z (cos y)) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (sin y) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))>
#<alt (- (+ (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 3))) (+ (* 2 (/ (* (sin y) (+ (* -1 (/ (- (* z (cos y)) (sin y)) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (* 2 (/ (* (sin y) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ 1 (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2)))))) (+ (* -1 (/ (- (* z (cos y)) (sin y)) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (* 2 (/ (* (sin y) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (/ (* z (cos y)) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (sin y) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x))) (* 2 (/ (sin y) x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))))) (pow x 2))) (* -1 (/ (- (* z (cos y)) (sin y)) x)))) (* 2 (/ (sin y) x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (sin y) (+ (* -1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))))))) (* -1 (* (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (pow x 3))) (* -1 (/ (- (* z (cos y)) (sin y)) x)))) (+ (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) (pow x 2))) (+ (* 2 (/ (sin y) x)) (* 2 (/ (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))) (pow x 2)))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* z (cos y)) (sin y))) (* -1 (/ (- (pow (sin y) 2) (+ (* -2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x))) (* 2 (sin y))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* z (cos y)) (sin y))) (* -1 (/ (- (+ (* -2 (/ (* (sin y) (- (pow (sin y) 2) (+ (* -2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) x)) (+ (* -1 (/ (* (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) x)) (pow (sin y) 2))) (+ (* -2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x))) (* 2 (sin y))) x)) 1) x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* -1 (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (* -1 (/ (+ x (sin y)) z))))>
#<alt (* z (+ (cos y) (* -1 (/ (+ x (sin y)) z))))>
#<alt (* z (+ (cos y) (* -1 (/ (+ x (sin y)) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (+ (/ x z) (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (+ (/ x z) (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (+ (/ x z) (/ (sin y) z)))))>
#<alt (- z x)>
#<alt (- (+ z (* -1 y)) x)>
#<alt (- (+ z (* y (- (* -1/2 (* y z)) 1))) x)>
#<alt (- (+ z (* y (- (* y (+ (* -1/2 z) (* 1/6 y))) 1))) x)>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (+ x (sin y)))>
#<alt (- (* z (cos y)) (sin y))>
#<alt (- (+ (* -1 x) (* z (cos y))) (sin y))>
#<alt (- (+ (* -1 x) (* z (cos y))) (sin y))>
#<alt (- (+ (* -1 x) (* z (cos y))) (sin y))>
#<alt (* -1 x)>
#<alt (* x (- (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))>
#<alt (* x (- (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))>
#<alt (* x (- (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x)))))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (- (* y (- (* y (- (* y (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (- (sin y) x))>
#<alt (/ 1 (sin y))>
#<alt (+ (/ 1 (sin y)) (/ x (pow (sin y) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (sin y) 2)) (/ x (pow (sin y) 3)))) (/ 1 (sin y)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (sin y) 3)) (/ x (pow (sin y) 4)))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y)))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 (/ (sin y) x)) 1) x)>
#<alt (/ (- (* -1 (/ (pow (sin y) 2) (pow x 2))) (+ 1 (/ (sin y) x))) x)>
#<alt (/ (- (* -1 (/ (pow (sin y) 3) (pow x 3))) (+ 1 (+ (/ (sin y) x) (/ (pow (sin y) 2) (pow x 2))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (sin y) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin y) 2) x)) (sin y)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 3) x) (* -1 (pow (sin y) 2))) x)) (sin y)) x))) x))>
#<alt (* -1 (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow z 2) (pow x 2))>
#<alt (- (+ (* -2 (* x y)) (pow z 2)) (pow x 2))>
#<alt (- (+ (* y (- (* y (- (* -1 (pow z 2)) 1)) (* 2 x))) (pow z 2)) (pow x 2))>
#<alt (- (+ (* y (- (* y (- (+ (* -1 (pow z 2)) (* 1/3 (* x y))) 1)) (* 2 x))) (pow z 2)) (pow x 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))>
#<alt (- (+ (* -2 (* x (sin y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))>
#<alt (- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))>
#<alt (- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -2 (/ (sin y) x)) 1))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -2 (/ (sin y) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1))>
Calls

114 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))
3.0ms
x
@0
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))
2.0ms
y
@inf
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))
2.0ms
x
@0
(/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))
1.0ms
y
@inf
(/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))))

rewrite431.0ms (4%)

Memory
18.4MiB live, 491.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 688×*-lowering-*.f32
4 688×*-lowering-*.f64
4 014×/-lowering-/.f32
4 014×/-lowering-/.f64
3 974×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040203
1283145
22823145
08984131
Stop Event
iter limit
node limit
Counts
17 → 769
Calls
Call 1
Inputs
(+ x (* z (cos y)))
(* z (cos y))
(cos y)
(+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z))
(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)
(+ (* y (+ (* y -1/6) (* z -1/2))) 1)
(+ (* y -1/6) (* z -1/2))
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x)))
(+ (* 1/2 (cos (+ y y))) (* x x))
(cos (+ y y))
(/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))))
(/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(- (* z (cos y)) (+ x (sin y)))
(/ 1 (- (sin y) x))
(+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))
Outputs
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) x)
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (-.f64 (sin.f64 y) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (-.f64 (sin.f64 y) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (+.f64 x (sin.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (-.f64 x (sin.f64 y))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 x (sin.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (-.f64 x (sin.f64 y))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (neg.f64 x)) (sin.f64 y)))

simplify545.0ms (5%)

Memory
1.1MiB live, 434.5MiB allocated
Algorithm
egg-herbie
Rules
7 490×accelerator-lowering-fma.f32
7 490×accelerator-lowering-fma.f64
5 962×+-lowering-+.f64
5 962×+-lowering-+.f32
5 506×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010679581
133739405
081648812
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* z (cos y))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
x
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
x
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(+ x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z)) y)))))
(* y (+ 1 (* -1/6 (pow y 2))))
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1)))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
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(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (-.f64 z x))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (+ x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (* z (cos y)) (sin y))
(-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(- (+ (* -1 x) (* z (cos y))) (sin y))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (+ (* -1 x) (* z (cos y))) (sin y))
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(- (+ (* -1 x) (* z (cos y))) (sin y))
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(* -1 x)
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(* x (- (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))
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(*.f64 x (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) x)))
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(* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x)))))
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (neg.f64 x)) x))
(* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x)))))
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (neg.f64 x)) x))
(/ -1 x)
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(- (* -1 (/ y (pow x 2))) (/ 1 x))
(+.f64 (/.f64 y (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 y (+.f64 (neg.f64 (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* y (- (* y (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/ 1 (- (sin y) x))
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(/ 1 (- (sin y) x))
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(/ 1 (- (sin y) x))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(+ (/ 1 (sin y)) (/ x (pow (sin y) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+ (* x (+ (/ 1 (pow (sin y) 2)) (/ x (pow (sin y) 3)))) (/ 1 (sin y)))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (sin y) 3)) (/ x (pow (sin y) 4)))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ (sin y) x)) 1) x)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x))
(/ (- (* -1 (/ (pow (sin y) 2) (pow x 2))) (+ 1 (/ (sin y) x))) x)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) x)
(/ (- (* -1 (/ (pow (sin y) 3) (pow x 3))) (+ 1 (+ (/ (sin y) x) (/ (pow (sin y) 2) (pow x 2))))) x)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ (sin y) x)) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin y) 2) x)) (sin y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 x)) (sin.f64 y)) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 3) x) (* -1 (pow (sin y) 2))) x)) (sin y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 x)) (sin.f64 y)) x)) (neg.f64 x))
(* -1 (pow (+ x (sin y)) 2))
(neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))))
(- (pow z 2) (pow x 2))
(*.f64 (+.f64 z x) (-.f64 z x))
(- (+ (* -2 (* x y)) (pow z 2)) (pow x 2))
(fma.f64 #s(literal -2 binary64) (*.f64 y x) (*.f64 (+.f64 z x) (-.f64 z x)))
(- (+ (* y (- (* y (- (* -1 (pow z 2)) 1)) (* 2 x))) (pow z 2)) (pow x 2))
(fma.f64 y (fma.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 z x) (-.f64 z x)))
(- (+ (* y (- (* y (- (+ (* -1 (pow z 2)) (* 1/3 (* x y))) 1)) (* 2 x))) (pow z 2)) (pow x 2))
(fma.f64 y (fma.f64 y (fma.f64 z (neg.f64 z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 z x) (-.f64 z x)))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(- (+ (* -2 (* x (sin y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 x (sin.f64 y)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))
(fma.f64 x (+.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal -2 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))
(fma.f64 x (+.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal -2 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* -2 (/ (sin y) x)) 1))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2))))))
(*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))))
(* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2))))))
(*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* -2 (/ (sin y) x)) 1))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1))
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1))
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)))

eval332.0ms (3.1%)

Memory
6.0MiB live, 197.7MiB allocated
Compiler

Compiled 56 011 to 3 960 computations (92.9% saved)

prune239.0ms (2.2%)

Memory
-23.3MiB live, 190.9MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1 342201 362
Fresh5611
Picked415
Done000
Total1 351271 378
Accuracy
100.0%
Counts
1 378 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z)
73.5%
(fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
48.2%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
84.3%
(fma.f64 (cos.f64 y) z x)
23.6%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
58.3%
(fma.f64 z (cos.f64 y) (sin.f64 y))
28.1%
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
51.2%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
87.8%
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
49.3%
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
24.7%
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x)))
36.6%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
31.1%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
43.2%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
31.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
43.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
48.5%
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
46.4%
(+.f64 (+.f64 x (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) (*.f64 z (cos.f64 y)))
58.8%
(+.f64 (sin.f64 y) x)
66.2%
(+.f64 z x)
57.5%
(+.f64 y (+.f64 z x))
41.9%
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
50.9%
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
47.8%
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
43.4%
(*.f64 z (cos.f64 y))
2.9%
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
43.2%
x
Compiler

Compiled 792 to 473 computations (40.3% saved)

simplify509.0ms (4.7%)

Memory
18.5MiB live, 449.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
cost-diff0
(*.f64 (+.f64 z x) (-.f64 z x))
cost-diff0
(-.f64 z x)
cost-diff704
(/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64))
cost-diff0
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
cost-diff0
(+.f64 z x)
cost-diff0
(cos.f64 y)
cost-diff0
(/.f64 (cos.f64 y) x)
cost-diff0
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
cost-diff1600
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
Rules
15 238×accelerator-lowering-fma.f32
15 238×accelerator-lowering-fma.f64
4 804×*-lowering-*.f32
4 804×*-lowering-*.f64
1 690×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031151
183151
2205145
3523141
41076139
56303139
08223131
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x)
x
(+ (* z (/ (cos y) x)) (/ (sin y) x))
z
(/ (cos y) x)
(cos y)
y
(/ (sin y) x)
(sin y)
(+ z x)
z
x
(+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x))
y
(+ (* -1/2 (* z y)) 1)
-1/2
(* z y)
z
1
(+ z x)
x
(/ 1 (/ (- z x) (* (+ z x) (- z x))))
1
(/ (- z x) (* (+ z x) (- z x)))
(- z x)
z
x
(* (+ z x) (- z x))
(+ z x)
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
z
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(cos y)
Outputs
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x)
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
x
(+ (* z (/ (cos y) x)) (/ (sin y) x))
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x))
z
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
y
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(+ z x)
(+.f64 x z)
z
x
(+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x y))
y
(+ (* -1/2 (* z y)) 1)
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(* z y)
(*.f64 z y)
z
1
#s(literal 1 binary64)
(+ z x)
(+.f64 x z)
x
(/ 1 (/ (- z x) (* (+ z x) (- z x))))
(+.f64 x z)
1
#s(literal 1 binary64)
(/ (- z x) (* (+ z x) (- z x)))
(/.f64 #s(literal 1 binary64) (+.f64 x z))
(- z x)
(-.f64 z x)
z
x
(* (+ z x) (- z x))
(*.f64 (+.f64 x z) (-.f64 z x))
(+ z x)
(+.f64 x z)
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
z
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(cos y)
(cos.f64 y)

localize142.0ms (1.3%)

Memory
6.9MiB live, 175.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
accuracy99.7%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
accuracy99.3%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(*.f64 (+.f64 z x) (-.f64 z x))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
accuracy49.7%
(/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))
accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64))
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
accuracy100.0%
(+.f64 z x)
accuracy99.8%
(/.f64 (cos.f64 y) x)
accuracy99.8%
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
accuracy99.8%
(/.f64 (sin.f64 y) x)
accuracy87.8%
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
Samples
101.0ms256×0valid
Compiler

Compiled 154 to 33 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 36.0ms (46.1% of total)
ival-add: 15.0ms (19.2% of total)
ival-cos: 12.0ms (15.4% of total)
ival-div: 8.0ms (10.2% of total)
ival-sin: 6.0ms (7.7% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.8%)

Memory
-14.0MiB live, 63.1MiB allocated
Counts
17 → 408
Calls
Call 1
Inputs
#<alt (+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x)>
#<alt (+ (* z (/ (cos y) x)) (/ (sin y) x))>
#<alt (/ (cos y) x)>
#<alt (cos y)>
#<alt (+ z x)>
#<alt (+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x))>
#<alt (+ (* -1/2 (* z y)) 1)>
#<alt (* z y)>
#<alt (/ 1 (/ (- z x) (* (+ z x) (- z x))))>
#<alt (/ (- z x) (* (+ z x) (- z x)))>
#<alt (- z x)>
#<alt (* (+ z x) (- z x))>
#<alt (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))>
#<alt (* z (+ (* 1/2 (cos (* y -2))) 1/2))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (cos (* y -2))>
#<alt (/ (sin y) x)>
Outputs
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (+ x (sin y))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (/ (sin y) x)>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (/ z x)>
#<alt (+ (/ y x) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ z (pow x 2))) (/ 1 x))>
#<alt (+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ x z))) z)>
#<alt (/ (- (+ 1 (/ (pow x 2) (pow z 2))) (/ x z)) z)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ x z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ x (pow z 2))) (/ 1 z))>
#<alt (+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ z x))) x)>
#<alt (/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ z x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x))>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (* -1 x))))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))>
#<alt (pow z 2)>
#<alt (+ (* x (+ z (* -1 z))) (pow z 2))>
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))>
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt z>
#<alt (+ z (* -1 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
Calls

102 calls:

TimeVariablePointExpression
41.0ms
y
@inf
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
15.0ms
x
@0
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x)
2.0ms
y
@0
(/ (cos y) x)
2.0ms
z
@0
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
1.0ms
x
@-inf
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x)

rewrite795.0ms (7.3%)

Memory
-0.2MiB live, 758.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 508×/-lowering-/.f32
5 508×/-lowering-/.f64
4 948×*-lowering-*.f32
4 948×*-lowering-*.f64
3 004×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031121
1192115
21731115
08803106
Stop Event
iter limit
node limit
Counts
17 → 1 005
Calls
Call 1
Inputs
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x)
(+ (* z (/ (cos y) x)) (/ (sin y) x))
(/ (cos y) x)
(cos y)
(+ z x)
(+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x))
(+ (* -1/2 (* z y)) 1)
(* z y)
(/ 1 (/ (- z x) (* (+ z x) (- z x))))
(/ (- z x) (* (+ z x) (- z x)))
(- z x)
(* (+ z x) (- z x))
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
(+ (* 1/2 (cos (* y -2))) 1/2)
(cos (* y -2))
(/ (sin y) x)
Outputs
(+.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(+.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(fma.f64 z (*.f64 (/.f64 (cos.f64 y) x) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) x)) z (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))))
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(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x))
(/.f64 (sin.f64 y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))

simplify410.0ms (3.8%)

Memory
28.3MiB live, 820.0MiB allocated
Algorithm
egg-herbie
Rules
11 100×accelerator-lowering-fma.f32
11 100×accelerator-lowering-fma.f64
5 312×+-lowering-+.f64
5 312×+-lowering-+.f32
4 792×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04443528
113393394
238083284
083193029
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
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x
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(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
Outputs
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
x
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(/ (* z (cos y)) x)
(/.f64 (*.f64 z (cos.f64 y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(/ (* z (cos y)) x)
(/.f64 (*.f64 z (cos.f64 y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(/ z x)
(/.f64 z x)
(+ (/ y x) (/ z x))
(+.f64 (/.f64 z x) (/.f64 y x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(fma.f64 y (fma.f64 y (/.f64 (*.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) x) (/.f64 (*.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
z
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(fma.f64 x (/.f64 z x) x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(fma.f64 x (/.f64 z x) x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(fma.f64 x (/.f64 z x) x)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(* -1/2 (* (pow y 2) z))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))) (/.f64 z (*.f64 y y))) y)
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))) (/.f64 z (*.f64 y y))) y)
(* -1/2 (* (pow y 2) z))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(fma.f64 z (+.f64 (/.f64 y z) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(fma.f64 z (+.f64 (/.f64 y z) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(fma.f64 z (+.f64 (/.f64 y z) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) z)
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 z) z)
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(*.f64 z (neg.f64 (-.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) z))))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(*.f64 z (neg.f64 (-.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) z))))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(*.f64 z (neg.f64 (-.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) z))))
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z) x)))
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(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
z
(+ z (* -1 (* (pow y 2) z)))
(-.f64 z (*.f64 z (*.f64 y y)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)))) (neg.f64 z)) z)
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(fma.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x))) (/.f64 y x))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)

eval229.0ms (2.1%)

Memory
3.7MiB live, 665.3MiB allocated
Compiler

Compiled 42 660 to 3 848 computations (91% saved)

prune267.0ms (2.5%)

Memory
-13.4MiB live, 556.4MiB allocated
Pruning

47 alts after pruning (45 fresh and 2 done)

PrunedKeptTotal
New1 662301 692
Fresh61521
Picked415
Done011
Total1 672471 719
Accuracy
100.0%
Counts
1 719 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
53.6%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z)
73.5%
(fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
48.2%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
84.3%
(fma.f64 (cos.f64 y) z x)
23.6%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
58.3%
(fma.f64 z (cos.f64 y) (sin.f64 y))
28.1%
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
41.0%
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
4.3%
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
87.7%
(fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x)
56.9%
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x)
45.4%
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
60.0%
(fma.f64 x (/.f64 z x) x)
21.1%
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y))
31.1%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
18.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
20.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
27.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
21.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
12.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
21.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
21.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
43.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
21.7%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
12.6%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
25.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
20.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
31.6%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
48.5%
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
58.8%
(+.f64 (sin.f64 y) x)
66.2%
(+.f64 z x)
57.5%
(+.f64 y (+.f64 z x))
34.9%
(+.f64 y x)
41.9%
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
47.8%
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
20.7%
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
43.2%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
20.3%
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
31.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
31.0%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
87.4%
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))))
43.4%
(*.f64 z (cos.f64 y))
2.6%
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
2.9%
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
25.4%
z
43.2%
x
Compiler

Compiled 1 576 to 875 computations (44.5% saved)

simplify292.0ms (2.7%)

Memory
27.1MiB live, 540.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(+.f64 (sin.f64 y) x)
cost-diff0
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
cost-diff384
(fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x))
cost-diff1216
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y)
cost-diff128
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff704
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x))
cost-diff1216
(fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x)
Rules
10 052×accelerator-lowering-fma.f32
10 052×accelerator-lowering-fma.f64
3 574×/-lowering-/.f32
3 574×/-lowering-/.f64
3 194×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032170
179166
2206164
3503156
4999154
51826154
63572154
74692154
86293154
96396154
106477154
116559154
08296140
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x)
x
(+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))
(* z (cos y))
z
(cos y)
y
(/ 1 x)
1
(/ (sin y) x)
(sin y)
z
(+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x))
(+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y)
(+ (* y -1/6) (* z -1/2))
y
-1/6
(* z -1/2)
z
-1/2
(* y y)
(+ z x)
x
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)
x
(+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))
y
(/ (+ (* y (* z -1/2)) 1) x)
(+ (* y (* z -1/2)) 1)
(* z -1/2)
z
-1/2
1
(/ z x)
(+ (sin y) x)
(sin y)
y
x
Outputs
(+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
x
(+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
z
(+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z))
(+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y)
(fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y) y)
(+ (* y -1/6) (* z -1/2))
(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
y
-1/6
#s(literal -1/6 binary64)
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
z
-1/2
#s(literal -1/2 binary64)
(* y y)
(*.f64 y y)
(+ z x)
(+.f64 x z)
x
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)
(+.f64 x (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))
x
(+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))
y
(/ (+ (* y (* z -1/2)) 1) x)
(/.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ (* y (* z -1/2)) 1)
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
z
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(/ z x)
(/.f64 z x)
(+ (sin y) x)
(+.f64 x (sin.f64 y))
(sin y)
(sin.f64 y)
y
x

localize122.0ms (1.1%)

Memory
11.8MiB live, 244.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(+.f64 (sin.f64 y) x)
accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
accuracy94.7%
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
accuracy92.0%
(fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x))
accuracy87.9%
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
accuracy99.7%
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))
accuracy98.7%
(fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y)
accuracy99.8%
(*.f64 z (cos.f64 y))
accuracy99.8%
(/.f64 (sin.f64 y) x)
accuracy99.8%
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x))
accuracy87.8%
(fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x)
Samples
88.0ms256×0valid
Compiler

Compiled 157 to 34 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 18.0ms (26.3% of total)
ival-cos: 16.0ms (23.4% of total)
ival-add: 15.0ms (21.9% of total)
ival-div: 7.0ms (10.2% of total)
ival-sin: 6.0ms (8.8% of total)
const: 6.0ms (8.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-24.2MiB live, 57.5MiB allocated
Counts
16 → 408
Calls
Call 1
Inputs
#<alt (+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x)>
#<alt (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x))>
#<alt (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y)>
#<alt (+ (* y -1/6) (* z -1/2))>
#<alt (* z -1/2)>
#<alt (+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)>
#<alt (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))>
#<alt (/ (+ (* y (* z -1/2)) 1) x)>
#<alt (+ (* y (* z -1/2)) 1)>
#<alt (+ (sin y) x)>
#<alt (sin y)>
#<alt (/ (sin y) x)>
#<alt (* y y)>
Outputs
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (+ x (sin y))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (/ (sin y) x)>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (/ z x)>
#<alt (+ (/ y x) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))>
#<alt (+ x (+ y (* -1/6 (pow y 3))))>
#<alt (+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))>
#<alt (+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))>
#<alt (+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y)))))>
#<alt (+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))>
#<alt (* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))>
#<alt (* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* y z))))>
#<alt (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))>
#<alt (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (+ y (* -1/6 (pow y 3)))>
#<alt (+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))>
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))>
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* -1/6 y))>
#<alt (+ (* -1/2 z) (* -1/6 y))>
#<alt (+ (* -1/2 z) (* -1/6 y))>
#<alt (* -1/6 y)>
#<alt (* y (- (* -1/2 (/ z y)) 1/6))>
#<alt (* y (- (* -1/2 (/ z y)) 1/6))>
#<alt (* y (- (* -1/2 (/ z y)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1/6 y)>
#<alt (+ (* -1/2 z) (* -1/6 y))>
#<alt (+ (* -1/2 z) (* -1/6 y))>
#<alt (+ (* -1/2 z) (* -1/6 y))>
#<alt (* -1/2 z)>
#<alt (* z (- (* -1/6 (/ y z)) 1/2))>
#<alt (* z (- (* -1/6 (/ y z)) 1/2))>
#<alt (* z (- (* -1/6 (/ y z)) 1/2))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))>
#<alt (+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))>
#<alt (+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))>
#<alt (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))>
#<alt (* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))>
#<alt (* -1 (* x (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))>
#<alt (/ z x)>
#<alt (+ (/ y x) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (* -1/2 (/ (* (pow y 2) z) x))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))))>
#<alt (* -1/2 (/ (* (pow y 2) z) x))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x))))>
#<alt (/ y x)>
#<alt (+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))>
#<alt (+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))>
#<alt (+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))>
#<alt (* -1 (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))>
#<alt (* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))>
#<alt (* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))>
#<alt (* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))>
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))>
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))>
#<alt (* -1/2 (/ (* y z) x))>
#<alt (* y (+ (* -1/2 (/ z x)) (/ 1 (* x y))))>
#<alt (* y (+ (* -1/2 (/ z x)) (/ 1 (* x y))))>
#<alt (* y (+ (* -1/2 (/ z x)) (/ 1 (* x y))))>
#<alt (* -1/2 (/ (* y z) x))>
#<alt (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))>
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))>
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))>
#<alt (* -1/2 (/ (* y z) x))>
#<alt (* z (+ (* -1/2 (/ y x)) (/ 1 (* x z))))>
#<alt (* z (+ (* -1/2 (/ y x)) (/ 1 (* x z))))>
#<alt (* z (+ (* -1/2 (/ y x)) (/ 1 (* x z))))>
#<alt (* -1/2 (/ (* y z) x))>
#<alt (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z)))))>
#<alt (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z)))))>
#<alt (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z)))))>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt (/ (+ 1 (* -1/2 (* y z))) x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (sin y)>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt x>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (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)>
Calls

102 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x))
1.0ms
x
@-inf
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)
1.0ms
x
@0
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)
1.0ms
z
@0
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)
1.0ms
z
@-inf
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)

rewrite427.0ms (3.9%)

Memory
-15.5MiB live, 753.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 764×accelerator-lowering-fma.f32
5 764×accelerator-lowering-fma.f64
4 120×*-lowering-*.f32
4 120×*-lowering-*.f64
4 052×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032135
1219135
22260131
08536115
Stop Event
iter limit
node limit
Counts
16 → 483
Calls
Call 1
Inputs
(+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x)
(+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))
(* z (cos y))
(cos y)
(+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x))
(+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y)
(+ (* y -1/6) (* z -1/2))
(* z -1/2)
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)
(+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))
(/ (+ (* y (* z -1/2)) 1) x)
(+ (* y (* z -1/2)) 1)
(+ (sin y) x)
(sin y)
(/ (sin y) x)
(* y y)
Outputs
(+.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(+.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))
(fma.f64 x #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 z (*.f64 (/.f64 (cos.f64 y) x) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (cos.f64 y) (*.f64 z #s(literal 1 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z (cos.f64 y)) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x x)
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)
(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (/.f64 (sin.f64 y) x))
(+.f64 (/.f64 (sin.f64 y) x) (*.f64 z (/.f64 (cos.f64 y) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)) (/.f64 (pow.f64 (*.f64 z (/.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x))
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(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y))))
(fma.f64 x #s(literal 1 binary64) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 x (sin.f64 y))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 y)))))
(/.f64 (sin.f64 y) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify511.0ms (4.7%)

Memory
28.4MiB live, 826.0MiB allocated
Algorithm
egg-herbie
Rules
18 934×accelerator-lowering-fma.f32
18 934×accelerator-lowering-fma.f64
5 748×*-lowering-*.f32
5 748×*-lowering-*.f64
5 438×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03594094
111314034
236053943
080873576
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(/ (sin y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(/ z x)
(+ (/ y x) (/ z x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(+ x (+ y (* -1/6 (pow y 3))))
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))
(+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y)))))
(+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))
x
(* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))
(* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))
(* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))
x
(* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))
y
(* y (+ 1 (* -1/2 (* y z))))
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(+ y (* -1/6 (pow y 3)))
(+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))
(+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))
(+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))
(* -1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))
(* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))
(* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))
(* -1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(* -1/6 y)
(* y (- (* -1/2 (/ z y)) 1/6))
(* y (- (* -1/2 (/ z y)) 1/6))
(* y (- (* -1/2 (/ z y)) 1/6))
(* -1/6 y)
(* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))
(* -1/6 y)
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(* -1/2 z)
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
x
(* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))
(* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))
(* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(+ x y)
(+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))
(+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))
(+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))
(* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))
(* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))
(* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))
(* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))
(* -1 (* x (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))
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(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))
(/ z x)
(+ (/ y x) (/ z x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(* -1/2 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))))
(* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))))
(* -1/2 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x))))
(/ y x)
(+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))
(+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))
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(* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))
(* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))
(* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))
(* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))
(* -1 (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))
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(* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)
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(* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))
(* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))
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(* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z)))))
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
(/ (+ 1 (* -1/2 (* y z))) x)
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* -1/2 (* y z))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
1
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(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* -1/2 (* y z))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
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(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(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)
Outputs
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
x
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
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(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(/ (* z (cos y)) x)
(/.f64 (*.f64 z (cos.f64 y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(/ (* z (cos y)) x)
(/.f64 (*.f64 z (cos.f64 y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(/ z x)
(/.f64 z x)
(+ (/ y x) (/ z x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) (/.f64 y x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
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(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
x
(* x (+ 1 (/ (sin y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(fma.f64 y (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x))) (/.f64 y x))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval174.0ms (1.6%)

Memory
18.4MiB live, 204.0MiB allocated
Compiler

Compiled 23 256 to 1 935 computations (91.7% saved)

prune400.0ms (3.7%)

Memory
-135.3MiB live, 250.8MiB allocated
Pruning

52 alts after pruning (48 fresh and 4 done)

PrunedKeptTotal
New9099918
Fresh13940
Picked325
Done022
Total91352965
Accuracy
100.0%
Counts
965 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.9%
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
84.6%
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
53.6%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z)
87.7%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x x)
73.5%
(fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
4.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
48.2%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
84.3%
(fma.f64 (cos.f64 y) z x)
58.3%
(fma.f64 z (cos.f64 y) (sin.f64 y))
28.1%
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
26.5%
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
41.0%
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
4.3%
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
56.9%
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x)
45.1%
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
60.0%
(fma.f64 x (/.f64 z x) x)
51.1%
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
21.1%
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y))
31.1%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
18.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
20.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
27.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
21.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
12.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
21.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
21.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
43.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
21.7%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
12.6%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
25.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
20.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
31.6%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
26.0%
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
49.6%
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
58.8%
(+.f64 (sin.f64 y) x)
66.2%
(+.f64 z x)
57.5%
(+.f64 y (+.f64 z x))
34.9%
(+.f64 y x)
41.9%
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
47.8%
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
20.7%
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
43.2%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
20.3%
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
31.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
31.0%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
87.4%
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))))
43.4%
(*.f64 z (cos.f64 y))
2.6%
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
2.9%
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
17.7%
(sin.f64 y)
25.4%
z
43.2%
x
Compiler

Compiled 2 004 to 757 computations (62.2% saved)

regimes91.0ms (0.8%)

Memory
29.2MiB live, 141.7MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 (cos.f64 y) z x)
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x x)
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z)
(fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x)
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 (+.f64 x (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

23.0ms
x
22.0ms
y
22.0ms
z
21.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes71.0ms (0.7%)

Memory
-14.2MiB live, 142.7MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 (cos.f64 y) z x)
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
Outputs
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z x)
Calls

4 calls:

18.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
y
17.0ms
z
17.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
84.3%1y
97.5%3z
96.7%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes38.0ms (0.3%)

Memory
1.5MiB live, 82.4MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 (cos.f64 y) z x)
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x)
Outputs
(fma.f64 (cos.f64 y) z x)
(+.f64 (sin.f64 y) x)
(fma.f64 (cos.f64 y) z x)
Calls

2 calls:

19.0ms
x
16.0ms
z
Results
AccuracySegmentsBranch
97.5%3z
84.3%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes67.0ms (0.6%)

Memory
30.9MiB live, 147.1MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
Outputs
(*.f64 z (cos.f64 y))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
Calls

4 calls:

19.0ms
y
16.0ms
x
16.0ms
z
14.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
81.6%4y
75.8%3x
78.6%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
85.2%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes35.0ms (0.3%)

Memory
-9.9MiB live, 63.2MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
Outputs
(+.f64 (sin.f64 y) x)
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(+.f64 (sin.f64 y) x)
Calls

2 calls:

18.0ms
z
15.0ms
y
Results
AccuracySegmentsBranch
80.0%3y
79.4%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.5%)

Memory
8.5MiB live, 99.0MiB allocated
Counts
49 → 5
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
(sin.f64 y)
Outputs
(+.f64 z x)
(sin.f64 y)
(+.f64 y (+.f64 z x))
(sin.f64 y)
(+.f64 z x)
Calls

3 calls:

20.0ms
z
14.0ms
y
13.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
81.3%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
66.2%1z
66.2%1y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes51.0ms (0.5%)

Memory
-11.4MiB live, 102.7MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x))
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x)
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x))
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z)))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x)
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x)
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x)))))
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z))
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x))
Outputs
(+.f64 z x)
Calls

3 calls:

16.0ms
x
16.0ms
y
13.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
66.2%1y
66.2%1x
66.2%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes11.0ms (0.1%)

Memory
-24.1MiB live, 22.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
Outputs
x
z
x
Calls

4 calls:

5.0ms
x
2.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
57.9%3x
52.6%3z
43.2%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
48.1%4y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
11.8MiB live, 11.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
43.2%1y
43.2%1z
43.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.4%)

Memory
-4.2MiB live, 72.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.2867221541024725e-22
4.500152742106771e-15
18.0ms
-0.1036520500968464
-3.288814838463646e-5
Samples
22.0ms272×0valid
Compiler

Compiled 338 to 235 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39% of total)
ival-cos: 5.0ms (32.5% of total)
ival-add: 2.0ms (13% of total)
ival-mult: 2.0ms (13% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Memory
-6.8MiB live, 32.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.036774220590768e-19
6.062645149566821e-18
15.0ms
-2.2096977775154235e-7
-1.692170331371445e-10
Samples
20.0ms240×0valid
Compiler

Compiled 270 to 194 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 5.0ms (36.5% of total)
ival-cos: 4.0ms (29.2% of total)
ival-add: 2.0ms (14.6% of total)
ival-mult: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
28.4MiB live, 28.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
2.7671533003172705e+23
2.9581632408897068e+23
18.0ms
-3.121136294560207e+34
-6.634600467406418e+27
Samples
15.0ms176×0valid
Compiler

Compiled 191 to 146 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 4.0ms (35.9% of total)
ival-sin: 4.0ms (35.9% of total)
ival-add: 2.0ms (17.9% of total)
ival-mult: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-3.3MiB live, 39.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
18913.673248171053
28833.966419801953
17.0ms
-859.9537635593724
-0.0013422565068760101
Samples
19.0ms208×0valid
Compiler

Compiled 327 to 222 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 4.0ms (29.9% of total)
ival-cos: 3.0ms (22.4% of total)
ival-mult: 3.0ms (22.4% of total)
ival-add: 2.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995656004726876
94767140484.57382
0.0ms
1.3158826178817935e-5
0.04145935649041712
0.0ms
-0.18112177813667707
-0.1036520500968464
0.0ms
-6.379325399233955
-0.9963541239589029
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch35.0ms (0.3%)

Memory
-16.0MiB live, 60.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.500152742106771e-15
3.4481548546991244e-13
17.0ms
-1.1450494591645969e-83
-2.4828621369103522e-86
Samples
24.0ms240×0valid
Compiler

Compiled 165 to 134 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (35.2% of total)
ival-cos: 5.0ms (29.3% of total)
ival-mult: 3.0ms (17.6% of total)
ival-add: 2.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
egg-herbie
Rules
10×+-commutative_binary64
10×if-if-or-not_binary32
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060167
186167
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 x #s(literal 934613434536269/20769187434139310514121985316880384 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -5198381024342905/604462909807314587353088 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 2661052139999099/649037107316853453566312041152512 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -2100000000000000013610214490112 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -1062849512059437/36028797018963968 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5404319552844595/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x)))))
(+.f64 z x)
(if (<=.f64 x #s(literal -7217927391783939/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) x (if (<=.f64 x #s(literal 4951760157141521/19807040628566084398385987584 binary64)) z x))
x
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 x #s(literal 934613434536269/20769187434139310514121985316880384 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -5198381024342905/604462909807314587353088 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 2661052139999099/649037107316853453566312041152512 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -5198381024342905/604462909807314587353088 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 2661052139999099/649037107316853453566312041152512 binary64)) (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -2100000000000000013610214490112 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -2100000000000000013610214490112 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -1062849512059437/36028797018963968 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -1062849512059437/36028797018963968 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 x z)) (+.f64 x (sin.f64 y))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5404319552844595/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -5 binary64)) (+.f64 x z) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -5404319552844595/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 y (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 x z)))))
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 x #s(literal -7217927391783939/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) x (if (<=.f64 x #s(literal 4951760157141521/19807040628566084398385987584 binary64)) z x))
x

soundness1.1s (10.4%)

Memory
8.9MiB live, 718.7MiB allocated
Rules
18 934×accelerator-lowering-fma.f32
18 934×accelerator-lowering-fma.f64
11 212×accelerator-lowering-fma.f32
11 212×accelerator-lowering-fma.f64
11 100×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040203
1283145
22823145
08984131
096591
1282587
2797577
32037575
43964575
57253575
08423528
04443528
113393394
238083284
083193029
03594094
111314034
236053943
080873576
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 355 to 173 computations (51.3% saved)

preprocess90.0ms (0.8%)

Memory
-16.8MiB live, 99.1MiB allocated
Compiler

Compiled 392 to 134 computations (65.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...