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

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.1s (10.3%)

Memory
13.0MiB live, 2 033.5MiB allocated
Samples
841.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 595.0ms
ival-cos: 241.0ms (40.5% of total)
ival-sin: 171.0ms (28.8% of total)
ival-mult: 73.0ms (12.3% of total)
ival-add: 60.0ms (10.1% of total)
ival-sub: 40.0ms (6.7% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain98.0ms (0.9%)

Memory
-8.6MiB live, 164.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (cos.f64 y))
00-0-(sin.f64 y)
00-0-y
00-0-z
00-0-(cos.f64 y)
00-0-(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
49.0ms512×0valid
Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 11.0ms (37% of total)
ival-cos: 10.0ms (33.7% of total)
ival-mult: 4.0ms (13.5% of total)
ival-add: 3.0ms (10.1% of total)
ival-sub: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess70.0ms (0.7%)

Memory
13.1MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Rules
400×lower-fma.f64
400×lower-fma.f32
358×sub-neg
352×cancel-sign-sub-inv
302×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
110184
224883
358383
4115183
5153083
6181483
7206983
8209283
089
0139
1229
2429
3669
4979
51519
62649
73989
84809
95289
105589
05589
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify33.0ms (0.3%)

Memory
-13.6MiB live, 31.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12224
24224
36624
49724
515124
626424
739824
848024
952824
1055824
055824
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize33.0ms (0.3%)

Memory
-12.1MiB live, 64.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.0078125
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.0078125
(+.f64 x (cos.f64 y))
accuracy0.140625
(*.f64 z (sin.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (38.4% of total)
ival-cos: 5.0ms (32% of total)
ival-mult: 2.0ms (12.8% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (+.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

24 calls:

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

simplify291.0ms (2.7%)

Memory
-7.9MiB live, 449.7MiB allocated
Algorithm
egg-herbie
Rules
10 746×lower-fma.f64
10 746×lower-fma.f32
3 588×lower-*.f64
3 588×lower-*.f32
2 024×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103612
1287607
2771605
32082601
44360601
56324601
08449579
Stop Event
iter limit
node limit
Counts
96 → 92
Calls
Call 1
Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1/2 (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (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)))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

rewrite289.0ms (2.7%)

Memory
2.3MiB live, 391.8MiB allocated
Rules
4 620×lower-*.f32
4 618×lower-*.f64
4 548×lower-fma.f64
4 548×lower-fma.f32
2 418×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14719
238819
3563019
0822519
Stop Event
iter limit
node limit
iter limit
Counts
4 → 187
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal -1 binary64)))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (+.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.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 (cos.f64 y)) #s(literal 2 binary64)))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
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(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))))
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

eval73.0ms (0.7%)

Memory
-16.8MiB live, 64.3MiB allocated
Compiler

Compiled 7 373 to 616 computations (91.6% saved)

prune51.0ms (0.5%)

Memory
34.5MiB live, 72.8MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New26415279
Fresh000
Picked101
Done000
Total26515280
Accuracy
100.0%
Counts
280 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
57.8%
(/.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 (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
47.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
78.4%
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
86.9%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
60.4%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
58.4%
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x))))
99.7%
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
57.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
64.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
74.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
61.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
56.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
26.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
Compiler

Compiled 634 to 346 computations (45.4% saved)

simplify543.0ms (5.1%)

Memory
-6.1MiB live, 357.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
cost-diff0
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
cost-diff0
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)
cost-diff0
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)
cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 z (sin.f64 y) (cos.f64 y))
cost-diff0
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
cost-diff320
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
cost-diff27776
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
Rules
18 354×lower-fma.f32
18 346×lower-fma.f64
4 272×lower-*.f32
4 260×lower-*.f64
2 230×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042317
073337
1138331
2296295
31020295
45943295
08112295
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
x
(fma.f64 z (sin.f64 y) (cos.f64 y))
z
(sin.f64 y)
y
(cos.f64 y)
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))
#s(literal 1 binary64)
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)
y
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 z #s(literal 1/6 binary64))
z
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
x
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 x x)
x
(-.f64 (cos.f64 y) x)
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))
x
(fma.f64 z (sin.f64 y) (cos.f64 y))
z
(sin.f64 y)
y
(cos.f64 y)
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)
y
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 z #s(literal 1/6 binary64))
z
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
x
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 x x)
x
(-.f64 (cos.f64 y) x)
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize218.0ms (2%)

Memory
-14.6MiB live, 143.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
accuracy0.140625
(*.f64 z (sin.f64 y))
accuracy0.33651140527157747
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
accuracy13.68072071612738
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
accuracy0.0078125
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.0078125
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.140625
(*.f64 z (sin.f64 y))
accuracy27.390108705921314
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0546875
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
accuracy0.1328125
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
accuracy0.2734375
(*.f64 z #s(literal 1/6 binary64))
accuracy27.57126367268296
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy24.466423808126503
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
accuracy0.05859375
(fma.f64 z (sin.f64 y) (cos.f64 y))
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
accuracy0.140625
(*.f64 z (sin.f64 y))
accuracy0.18359375
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
Samples
160.0ms256×0valid
Compiler

Compiled 310 to 39 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-add: 35.0ms (33.5% of total)
ival-cos: 34.0ms (32.5% of total)
ival-mult: 14.0ms (13.4% of total)
ival-sin: 7.0ms (6.7% of total)
ival-sub: 6.0ms (5.7% of total)
const: 4.0ms (3.8% of total)
ival-div: 3.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series75.0ms (0.7%)

Memory
-1.0MiB live, 40.6MiB allocated
Counts
22 → 600
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))>
#<alt (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))>
#<alt (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))>
#<alt (fma.f64 z (sin.f64 y) (cos.f64 y))>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))>
#<alt (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)>
#<alt (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)>
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))>
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))>
#<alt (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))>
#<alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))>
#<alt (*.f64 z #s(literal 1/6 binary64))>
#<alt (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))>
Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y))))>
#<alt (- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* z (sin y)) x)))>
#<alt (- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x)))>
#<alt (- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))>
#<alt 1>
#<alt (+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))>
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))>
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt 1>
#<alt (+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))>
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))>
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))>
#<alt -1>
#<alt (- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))>
#<alt (- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))>
#<alt (- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* y z)))>
#<alt (+ 1 (+ x (* y (+ z (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (+ x (+ (cos y) (* z (sin y))))>
#<alt (cos y)>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (cos y) z)))>
#<alt (* z (+ (sin y) (/ (cos y) z)))>
#<alt (* z (+ (sin y) (/ (cos y) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))>
#<alt 1>
#<alt (+ 1 (* y z))>
#<alt (+ 1 (* y (+ z (* -1/2 y))))>
#<alt (+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (+ (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
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#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))>
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))>
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<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 (+ (cos y) (* z (sin y))))>
#<alt (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))>
#<alt (/ 1 (+ x (cos y)))>
#<alt (+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)>
#<alt (/ 1 (* z (sin y)))>
#<alt (* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt -1/2>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (* 1/6 (* y z))>
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt -1/2>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (* 1/6 (* y z))>
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))>
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))>
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
Calls

150 calls:

TimeVariablePointExpression
29.0ms
x
@0
(- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y)))
4.0ms
y
@inf
(- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y)))
2.0ms
z
@-inf
(* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ x (+ (* z (sin y)) (cos y)))))
2.0ms
y
@-inf
(- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y)))
2.0ms
z
@0
(- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y)))

simplify583.0ms (5.5%)

Memory
-2.6MiB live, 355.6MiB allocated
Algorithm
egg-herbie
Rules
9 326×lower-fma.f64
9 326×lower-fma.f32
6 250×lower-*.f64
6 250×lower-*.f32
5 530×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09439017
129838763
085698257
Stop Event
iter limit
node limit
Counts
600 → 577
Calls
Call 1
Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y))))
(- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
(- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
(- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
1
(+ 1 (* -2 (/ (* z (sin y)) x)))
(- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x)))
(- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x))))
1
(+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
1
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))
1
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))
-1
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))
-1
(- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(+ (cos y) (* z (sin y)))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
x
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(+ x (cos y))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(* z (sin y))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))
(+ 1 x)
(+ 1 (+ x (* y z)))
(+ 1 (+ x (* y (+ z (* -1/2 y)))))
(+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(cos y)
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (cos y) z)))
(* z (+ (sin y) (/ (cos y) z)))
(* z (+ (sin y) (/ (cos y) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))
1
(+ 1 (* y z))
(+ 1 (* y (+ z (* -1/2 y))))
(+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
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(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))
x
(* x (+ 1 (/ (cos y) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
(- 1 (pow x 2))
(- (+ 1 (* -1 (pow y 2))) (pow x 2))
(- (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) (pow x 2))
(- (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(/ 1 (+ (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)
(/ 1 x)
(* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))
(/ 1 (+ x (cos y)))
(+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/ 1 (+ 1 x))
(+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
-1/2
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(* 1/6 (* y z))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* 1/6 (* y z))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
-1/2
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(* 1/6 (* y z))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* 1/6 (* y z))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1/2 y)
(* y (- (* 1/6 (* y z)) 1/2))
(* y (- (* 1/6 (* y z)) 1/2))
(* y (- (* 1/6 (* y z)) 1/2))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(* 1/6 (* (pow y 2) z))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(* 1/6 (* (pow y 2) z))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)) (sin.f64 y)) (neg.f64 z))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (* y z))))
(+.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y))))
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
(fma.f64 x (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))
(fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 4 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* z (sin y)) x)))
(fma.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 (sin.f64 y) x) #s(literal 1 binary64))
(- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 x x)) (*.f64 z (/.f64 (sin.f64 y) x)))))
(- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x))))
(-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 (*.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 x x)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
1
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(neg.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z))))

rewrite453.0ms (4.3%)

Memory
39.1MiB live, 663.9MiB allocated
Rules
5 302×lower-*.f32
5 290×lower-*.f64
4 176×lower-fma.f32
4 168×lower-fma.f64
3 456×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042249
073251
1344197
23253197
08775197
Stop Event
iter limit
node limit
iter limit
Counts
22 → 736
Calls
Call 1
Inputs
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(fma.f64 z (sin.f64 y) (cos.f64 y))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
(*.f64 z #s(literal 1/6 binary64))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
Outputs
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x))
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y)))
(+.f64 (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (fma.f64 x (/.f64 x (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x))
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 y) x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(fma.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
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(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)) y)

eval216.0ms (2%)

Memory
-6.1MiB live, 544.9MiB allocated
Compiler

Compiled 48 191 to 3 220 computations (93.3% saved)

prune176.0ms (1.7%)

Memory
-20.0MiB live, 553.0MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 468241 492
Fresh6410
Picked325
Done000
Total1 477301 507
Accuracy
100.0%
Counts
1 507 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))
34.5%
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
86.9%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
55.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
56.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
99.8%
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))
60.4%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
45.5%
(*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))))
60.1%
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
25.6%
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y))))))
93.4%
(*.f64 #s(approx (+ x (+ (* z (sin y)) (cos y))) (fma.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x)) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
26.1%
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
54.0%
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 x (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x x)) (/.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
33.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
41.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
64.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
74.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
61.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
56.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
47.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
22.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
91.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)) (sin.f64 y)) (neg.f64 z)))
91.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))
23.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
32.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
13.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y))))))))
11.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
2.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
11.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
Compiler

Compiled 1 293 to 681 computations (47.3% saved)

simplify342.0ms (3.2%)

Memory
4.1MiB live, 800.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z))
cost-diff0
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))
cost-diff1408
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
cost-diff320
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64)))
cost-diff0
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))
cost-diff0
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
cost-diff128
(neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))
cost-diff0
#s(approx (+ x 1) #s(literal 1 binary64))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
cost-diff0
(/.f64 (cos.f64 y) x)
cost-diff0
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
cost-diff0
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))
cost-diff896
(fma.f64 x (/.f64 (cos.f64 y) x) x)
Rules
16 026×lower-fma.f32
16 016×lower-fma.f64
4 802×lower-*.f32
4 782×lower-*.f64
2 900×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066440
0100436
1213436
2533431
31361424
43177408
55731408
08733391
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
x
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
(neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))
y
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)
(*.f64 z (*.f64 y #s(literal -1/6 binary64)))
z
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))
y
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)
(*.f64 y y)
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64)))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
z
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
(*.f64 z #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
z
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z))
(/.f64 x z)
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)
Outputs
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y))))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(+.f64 x (cos.f64 y))
x
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))
y
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)
(*.f64 z (*.f64 y #s(literal -1/6 binary64)))
z
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (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)) #s(literal 1 binary64))))))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))
#s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (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)) #s(literal 1 binary64))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))
(*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (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)) #s(literal 1 binary64)))
y
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)
(fma.f64 (*.f64 y (*.f64 y z)) (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)) z)
(*.f64 y y)
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64)))
(*.f64 z (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 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
z
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
(*.f64 z #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
z
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z))
(/.f64 x z)
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)

localize172.0ms (1.6%)

Memory
15.8MiB live, 455.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))
accuracy0.00390625
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z))
accuracy0.12109375
(/.f64 (cos.f64 y) z)
accuracy5.499286888386101
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
accuracy0.2734375
(*.f64 z #s(literal -1/6 binary64))
accuracy1.9710914702950597
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
accuracy27.390108705921314
#s(approx (cos y) #s(literal 1 binary64))
accuracy29.921463575413178
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))
accuracy0.20828878162065376
(*.f64 z (*.f64 y #s(literal -1/6 binary64)))
accuracy0.33984375
(*.f64 y #s(literal -1/6 binary64))
accuracy27.57126367268296
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
accuracy34.656542148130875
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
accuracy24.466423808126503
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
accuracy28.402347603394325
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0.0078125
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))
accuracy0.11328125
(fma.f64 x (/.f64 (cos.f64 y) x) x)
accuracy0.125
(/.f64 (cos.f64 y) x)
accuracy0.140625
(*.f64 z (sin.f64 y))
Samples
117.0ms256×0valid
Compiler

Compiled 325 to 60 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 36.0ms (38.1% of total)
ival-add: 15.0ms (15.9% of total)
const: 12.0ms (12.7% of total)
ival-cos: 11.0ms (11.6% of total)
ival-div: 7.0ms (7.4% of total)
ival-sub: 6.0ms (6.4% of total)
ival-sin: 5.0ms (5.3% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
-11.3MiB live, 105.2MiB allocated
Counts
25 → 660
Calls
Call 1
Inputs
#<alt (fma.f64 x (/.f64 (cos.f64 y) x) x)>
#<alt (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))>
#<alt #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))>
#<alt (/.f64 (cos.f64 y) x)>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))>
#<alt #s(approx (+ x 1) #s(literal 1 binary64))>
#<alt (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))>
#<alt #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))>
#<alt (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))>
#<alt (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64)))>
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))>
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))>
#<alt (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))>
#<alt (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (*.f64 z (*.f64 y #s(literal -1/6 binary64)))>
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))>
#<alt (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))>
#<alt (*.f64 z #s(literal -1/6 binary64))>
#<alt (/.f64 (cos.f64 y) z)>
Outputs
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y)))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y)))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))>
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))>
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))>
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))>
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))>
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))>
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))>
#<alt (/ (- 1 (pow x 2)) (- 1 x))>
#<alt (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))>
#<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 (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* -1 (/ z (pow y 2))) (* -1/6 z)))>
#<alt (* (pow y 3) (- (* -1 (/ z (pow y 2))) (* -1/6 z)))>
#<alt (* (pow y 3) (- (* -1 (/ z (pow y 2))) (* -1/6 z)))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (- (/ z (pow y 2)) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (- (/ z (pow y 2)) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (- (/ z (pow y 2)) (* 1/6 z))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (+ 1 x)>
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#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt x>
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#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt x>
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#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))>
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))>
#<alt (* -1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* -1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
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#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
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#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))>
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))>
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* z (+ (/ 1 z) (/ x z)))>
#<alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))>
#<alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))>
#<alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
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#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (- (/ (cos y) z) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (/ x z)>
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#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))>
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)>
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)>
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)>
#<alt (* -1 (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (* -1 (sin y))>
#<alt (- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y))>
#<alt (- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y))>
#<alt (- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y))>
#<alt (+ (/ 1 z) (/ x z))>
#<alt (+ (* -1 y) (+ (/ 1 z) (/ x z)))>
#<alt (+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z)))>
#<alt (+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z)))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))>
#<alt (/ (cos y) z)>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (/ x z)>
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))>
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))>
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (cos y)) z)>
#<alt (/ (+ x (cos y)) z)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))>
#<alt (+ (/ 1 z) (/ x z))>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (+ (/ x z) (/ (cos y) z))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* 1/120 z)>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (* -1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* -1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (/ 1 z)>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
Calls

165 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(/ (cos y) x)
2.0ms
z
@0
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
2.0ms
y
@0
(- (+ (/ x z) (/ (cos y) z)) (sin y))
1.0ms
z
@0
(+ (* y (* y (* z (+ (* -1/5040 (* y y)) 1/120)))) (* z -1/6))
1.0ms
z
@0
(neg (* y (+ (* y (* z (* y -1/6))) z)))

simplify897.0ms (8.4%)

Memory
9.1MiB live, 734.8MiB allocated
Algorithm
egg-herbie
Rules
12 304×lower-fma.f64
12 304×lower-fma.f32
5 940×lower-*.f64
5 940×lower-*.f32
4 282×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06037465
118857233
258757154
080806824
Stop Event
iter limit
node limit
Counts
660 → 638
Calls
Call 1
Inputs
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x)))
(- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y)))
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y)))
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
(* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(* -1 (* z (sin y)))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(/ (- 1 (pow x 2)) (- 1 x))
(- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))
x
(* x (+ 1 (/ (cos y) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
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(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* 1/120 z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
Outputs
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (+ 1 (/ (cos y) x)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(* x (+ 1 (/ (cos y) x)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(* x (+ 1 (/ (cos y) x)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) x))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y z))
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y)))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y)))
(-.f64 (fma.f64 x (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y)))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 y)))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (*.f64 z (sin.f64 y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x x)) (/.f64 (cos.f64 y) x)) (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
(+.f64 x (*.f64 x (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (cos.f64 y) (*.f64 x (*.f64 x x))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x x))) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 (cos.f64 y) x))) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 y) (*.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x)) x)) (*.f64 z (sin.f64 y))) x)) (neg.f64 x))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x))))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
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(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/120 z)
(*.f64 z #s(literal 1/120 binary64))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/5040 binary64))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64))))
(* -1/5040 (* (pow y 2) z))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/5040 binary64))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64))))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 y (*.f64 y (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1/2 binary64) z))) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)

rewrite471.0ms (4.4%)

Memory
-11.1MiB live, 429.8MiB allocated
Rules
4 880×lower-fma.f32
4 870×lower-fma.f64
4 560×lower-*.f32
4 540×lower-*.f64
3 008×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066343
0100343
1473317
24164314
08287307
Stop Event
iter limit
node limit
iter limit
Counts
25 → 339
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
(/.f64 (cos.f64 y) x)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
(neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z))
(*.f64 z (sin.f64 y))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 z (*.f64 y #s(literal -1/6 binary64)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 z #s(literal -1/6 binary64))
(/.f64 (cos.f64 y) z)
Outputs
(+.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x))))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x)
(fma.f64 (/.f64 (cos.f64 y) x) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) x)
(+.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)))))
(fma.f64 z (neg.f64 (sin.f64 y)) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)))
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)))
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(pow.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x z (*.f64 (cos.f64 y) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (cos.f64 y)) z)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(*.f64 z (*.f64 y #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) y)) (*.f64 z #s(literal -1/6 binary64))) z)))
(+.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z #s(literal 1/120 binary64)))
(+.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(fma.f64 z #s(literal 1/120 binary64) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(fma.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/5040 binary64) z) (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) z (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y #s(literal -1/5040 binary64)) (*.f64 y z) (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 (*.f64 z #s(literal -1/5040 binary64)) (*.f64 y y) (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 (*.f64 z (*.f64 y #s(literal -1/5040 binary64))) y (*.f64 z #s(literal 1/120 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 z (*.f64 z z)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 z #s(literal 1/120 binary64))) (*.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) (*.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 z #s(literal 1/120 binary64)))) (-.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z #s(literal 1/120 binary64))))
(/.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) z) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) z) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) z)
(*.f64 z #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) z)
(exp.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z))
(/.f64 (cos.f64 y) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z)))
(pow.f64 (/.f64 z (cos.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)))

eval176.0ms (1.7%)

Memory
3.3MiB live, 153.9MiB allocated
Compiler

Compiled 22 029 to 1 665 computations (92.4% saved)

prune105.0ms (1%)

Memory
3.9MiB live, 281.2MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New96116977
Fresh111223
Picked415
Done022
Total976311 007
Accuracy
100.0%
Counts
1 007 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
86.9%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
56.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
55.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
70.4%
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
60.4%
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
45.5%
(*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))))
25.6%
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y))))))
26.1%
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
41.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
49.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y)) (sin.f64 y))))
64.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
74.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
61.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
56.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
47.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
22.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
32.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
53.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
78.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))))))
23.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
13.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
11.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
2.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
11.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
2.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
12.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
99.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))
85.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x)))
Compiler

Compiled 1 105 to 595 computations (46.2% saved)

simplify285.0ms (2.7%)

Memory
3.0MiB live, 442.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cos.f64 y) x)
cost-diff0
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
cost-diff0
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
cost-diff896
(fma.f64 x (/.f64 (cos.f64 y) x) x)
cost-diff0
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
cost-diff0
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
cost-diff0
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
cost-diff0
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))
cost-diff0
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))
cost-diff0
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
cost-diff0
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
cost-diff0
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))
cost-diff576
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
Rules
10 686×lower-fma.f32
10 676×lower-fma.f64
4 250×lower-*.f32
4 238×lower-*.f64
1 860×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072491
0101490
1215490
2471490
3973476
41671457
52645457
64731457
08314434
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
z
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
y
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
x
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
z
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
z
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
y
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z)))))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z))
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y))) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(+.f64 x (cos.f64 y))
x
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
z

localize188.0ms (1.8%)

Memory
23.0MiB live, 425.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
accuracy0.11328125
(fma.f64 x (/.f64 (cos.f64 y) x) x)
accuracy0.125
(/.f64 (cos.f64 y) x)
accuracy29.872929605734196
#s(approx (* z (sin y)) (*.f64 y z))
accuracy0.06640625
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy2.090554348482099
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
accuracy27.390108705921314
#s(approx (cos y) #s(literal 1 binary64))
accuracy30.020733071530717
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))
accuracy0.10546875
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
accuracy1.9055872317735074
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
accuracy27.57126367268296
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
accuracy34.656542148130875
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
accuracy0
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))
accuracy27.57126367268296
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
accuracy30.71297715338733
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))
accuracy34.656542148130875
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))
accuracy0
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))
accuracy0.0078125
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
accuracy0.12109375
(/.f64 (cos.f64 y) z)
accuracy0.13671875
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
Samples
121.0ms256×0valid
Compiler

Compiled 306 to 63 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-mult: 39.0ms (40.3% of total)
ival-add: 15.0ms (15.5% of total)
ival-cos: 12.0ms (12.4% of total)
const: 9.0ms (9.3% of total)
ival-div: 7.0ms (7.2% of total)
ival-sub: 7.0ms (7.2% of total)
ival-sin: 5.0ms (5.2% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-35.6MiB live, 41.9MiB allocated
Counts
25 → 672
Calls
Call 1
Inputs
#<alt (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))>
#<alt #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))>
#<alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))>
#<alt #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))>
#<alt (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))>
#<alt #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))>
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))>
#<alt #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))>
#<alt (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))>
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))>
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))>
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))>
#<alt (fma.f64 x (/.f64 (cos.f64 y) x) x)>
#<alt (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))>
#<alt #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))>
#<alt (/.f64 (cos.f64 y) x)>
#<alt (/.f64 (cos.f64 y) z)>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))>
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))>
#<alt #s(approx (* z (sin y)) (*.f64 y z))>
Outputs
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))>
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))>
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))>
#<alt (* z (+ (/ 1 z) (/ x z)))>
#<alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))>
#<alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))>
#<alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (/ 1 z)>
#<alt (+ (* -1 y) (/ 1 z))>
#<alt (+ (* y (- (* -1/2 (/ y z)) 1)) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (/ 1 z))>
#<alt (- (/ (cos y) z) (sin y))>
#<alt (- (/ (cos y) z) (sin y))>
#<alt (- (/ (cos y) z) (sin y))>
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#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y)))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y)))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))>
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))>
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))>
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))>
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))>
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))>
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))>
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))>
#<alt (/ (- 1 (pow x 2)) (- 1 x))>
#<alt (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))>
#<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 z)>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt -1>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

168 calls:

TimeVariablePointExpression
2.0ms
z
@0
(+ (* z (- (/ (cos y) z) (sin y))) x)
1.0ms
z
@0
(* y (* z (+ (* (* y y) 1/6) -1)))
1.0ms
z
@0
(* z (+ (* (* y y) 1/120) -1/6))
1.0ms
y
@inf
(* y (* z (+ (* (* y y) 1/6) -1)))
0.0ms
y
@0
(* y (* z (+ (* (* y y) 1/6) -1)))

simplify390.0ms (3.7%)

Memory
16.7MiB live, 614.3MiB allocated
Algorithm
egg-herbie
Rules
12 604×lower-fma.f64
12 604×lower-fma.f32
6 212×lower-*.f64
6 212×lower-*.f32
3 392×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05728026
117797829
255757681
081157318
Stop Event
iter limit
node limit
Counts
672 → 648
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(* z (- (/ (cos y) z) (sin y)))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
x
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
x
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
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(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))
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x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
(* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(* -1 (* z (sin y)))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(/ (- 1 (pow x 2)) (- 1 x))
(- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
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(- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))
x
(* x (+ 1 (/ (cos y) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
x
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(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
(/ 1 x)
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(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ 1 z)
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(/ (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)
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(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
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-1
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(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
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(* z (sin y))
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(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
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(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
Outputs
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
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(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
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(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
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(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
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(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(* z (- (/ (cos y) z) (sin y)))
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(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
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(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
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(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
x
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
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x
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
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x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
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(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x))
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(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
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(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
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(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
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(*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
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(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y))))
(* 1/120 (* (pow y 2) z))
(*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

rewrite302.0ms (2.8%)

Memory
41.3MiB live, 425.7MiB allocated
Rules
4 608×lower-*.f32
4 596×lower-*.f64
4 410×lower-fma.f32
4 400×lower-fma.f64
3 036×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072427
0101427
1487401
24194398
08132383
Stop Event
iter limit
node limit
iter limit
Counts
25 → 271
Calls
Call 1
Inputs
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))
(/.f64 (cos.f64 y) x)
(/.f64 (cos.f64 y) z)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(approx (* z (sin y)) (*.f64 y z))
Outputs
(+.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(+.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x)
(-.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x))))
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))) (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))
(+.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 (cos.f64 y) z))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(fma.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (cos.f64 y) z))
(fma.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.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 (/.f64 (cos.f64 y) z) (sin.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 z y)))))
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 z y))))
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 z y))))
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(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) z) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
#s(approx (* z (sin y)) (*.f64 z y))

eval125.0ms (1.2%)

Memory
-32.2MiB live, 202.0MiB allocated
Compiler

Compiled 18 811 to 1 310 computations (93% saved)

prune110.0ms (1%)

Memory
6.7MiB live, 206.2MiB allocated
Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New90910919
Fresh51823
Picked145
Done123
Total91634950
Accuracy
100.0%
Counts
950 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
55.5%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z))))
56.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
55.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
56.0%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
70.4%
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
64.3%
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
60.4%
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
45.5%
(*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))))
25.6%
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y))))))
26.1%
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
41.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
64.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
74.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
61.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
47.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
22.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
32.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
78.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))))))
23.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
11.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
13.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
11.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
11.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
2.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
2.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
12.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
64.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x)))
74.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x)))
61.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
65.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))
85.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x)))
Compiler

Compiled 1 853 to 600 computations (67.6% saved)

regimes81.0ms (0.8%)

Memory
25.0MiB live, 145.5MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)) (sin.f64 y)) (neg.f64 z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x)))
(*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))))
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y))))))
(/.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 (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y)) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))))
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 x (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x x)) (/.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(*.f64 #s(approx (+ x (+ (* z (sin y)) (cos y))) (fma.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x)) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x))))
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

20.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
x
17.0ms
z
17.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes53.0ms (0.5%)

Memory
8.1MiB live, 85.1MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

15.0ms
z
13.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
y
12.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
86.9%1y
99.4%3z
99.4%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes53.0ms (0.5%)

Memory
-24.5MiB live, 57.0MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))
Outputs
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

3 calls:

27.0ms
x
13.0ms
z
11.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.4%3z
99.4%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
86.9%1x
Compiler

Compiled 20 to 14 computations (30% saved)

regimes243.0ms (2.3%)

Memory
-7.4MiB live, 30.6MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))
Calls

2 calls:

231.0ms
z
10.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
92.3%3z
98.0%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes87.0ms (0.8%)

Memory
17.8MiB live, 55.8MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
Calls

4 calls:

55.0ms
y
10.0ms
x
10.0ms
z
10.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
74.2%1x
84.9%3y
83.8%3z
81.3%5(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes78.0ms (0.7%)

Memory
-4.0MiB live, 46.2MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y))))))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
Calls

4 calls:

48.0ms
z
9.0ms
x
9.0ms
y
9.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
70.3%3x
68.3%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
70.8%3z
72.5%3y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes24.0ms (0.2%)

Memory
-22.3MiB live, 15.6MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
Calls

1 calls:

22.0ms
y
Results
AccuracySegmentsBranch
72.5%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
72.4%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z)))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
72.4%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-18.1MiB live, 19.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
Calls

4 calls:

3.0ms
y
2.0ms
z
2.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
Results
AccuracySegmentsBranch
61.8%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
61.8%1x
64.6%2z
61.8%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
61.8%1y
61.8%1z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-23.5MiB live, 14.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
Calls

4 calls:

1.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
23.9%1x
23.9%1z
23.9%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.9%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch35.0ms (0.3%)

Memory
18.4MiB live, 57.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.741284084121782e-54
6.020027133031643e-54
20.0ms
-109052.64345790459
-5.323815572300033e-9
Samples
24.0ms240×0valid
Compiler

Compiled 390 to 269 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 8.0ms (43.4% of total)
ival-cos: 6.0ms (32.6% of total)
ival-mult: 2.0ms (10.9% of total)
ival-sub: 1.0ms (5.4% of total)
ival-add: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.994572544636823
0.999999999990992
0.0ms
-179521.263450736
-109052.93876872188
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000003427607
3862.4758718124667
0.0ms
-179521.263450736
-109052.93876872188
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch54.0ms (0.5%)

Memory
-0.4MiB live, 112.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
113636246966417.92
3.648638921996196e+25
25.0ms
-253.9909242574981
-4.5829720696049e-20
Samples
38.0ms336×0valid
Compiler

Compiled 834 to 497 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 13.0ms (44.2% of total)
ival-sin: 10.0ms (34% of total)
ival-add: 2.0ms (6.8% of total)
ival-mult: 2.0ms (6.8% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory
7.4MiB live, 87.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
113636246966417.92
3.648638921996196e+25
26.0ms
-1.0984622986421961e+23
-176975.88659939938
Samples
31.0ms256×0valid
Compiler

Compiled 775 to 474 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 9.0ms (40.7% of total)
ival-sin: 8.0ms (36.2% of total)
ival-mult: 2.0ms (9% of total)
ival-sub: 1.0ms (4.5% of total)
ival-add: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch82.0ms (0.8%)

Memory
-2.5MiB live, 72.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
1.0261453319220098e+45
8.731985018779646e+53
41.0ms
-1.0984622986421961e+23
-176975.88659939938
Samples
68.0ms288×0valid
Compiler

Compiled 642 to 394 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sin: 29.0ms (47.3% of total)
ival-cos: 27.0ms (44.1% of total)
ival-mult: 2.0ms (3.3% of total)
ival-sub: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
18.2MiB live, 60.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
113636246966417.92
3.648638921996196e+25
22.0ms
-1.0984622986421961e+23
-176975.88659939938
Samples
24.0ms176×0valid
Compiler

Compiled 575 to 394 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 11.0ms (56.7% of total)
ival-sin: 5.0ms (25.8% of total)
ival-sub: 1.0ms (5.2% of total)
ival-add: 1.0ms (5.2% of total)
ival-mult: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch69.0ms (0.7%)

Memory
1.7MiB live, 78.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
2.1797953383287672e+114
6.349075261828098e+119
26.0ms
-5.932565444072026e+49
-7.233606365509973e+38
Samples
55.0ms304×0valid
Compiler

Compiled 376 to 261 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 30.0ms (62.8% of total)
ival-sin: 13.0ms (27.2% of total)
ival-add: 2.0ms (4.2% of total)
ival-mult: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
2.9MiB live, 40.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-5.451751249315363e+169
-2.7318811895416836e+163
Samples
17.0ms144×0valid
Compiler

Compiled 186 to 122 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 8.0ms (60.6% of total)
ival-sin: 3.0ms (22.7% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-mult: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Memory
-42.9MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Rules
36×+-commutative_binary64
32×*-commutative_binary64
28×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135618
1171618
2198618
3210618
4215618
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -4382356096103031/302231454903657293676544 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 5176309760092923/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))))
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 115000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -34000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 580000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -170000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1049999999999999973782050984320931337053667328 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -3200000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 175000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -500000000000000022442856339037958392774656 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4700000000000000073129255808494162214060546565528988736837921728024918771474351805345431332600723004078169520078848 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -53999999999999998104442712318945263814838436462968667939952139978665007137223777437007895119369053247463673219246648620933108837236776247556326110785122588648902915784704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -4382356096103031/302231454903657293676544 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 5176309760092923/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x)))))
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 115000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 115000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -34000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 580000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -170000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1049999999999999973782050984320931337053667328 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -3200000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 175000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -500000000000000022442856339037958392774656 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4700000000000000073129255808494162214060546565528988736837921728024918771474351805345431332600723004078169520078848 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -53999999999999998104442712318945263814838436462968667939952139978665007137223777437007895119369053247463673219246648620933108837236776247556326110785122588648902915784704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))

soundness1.6s (14.8%)

Memory
15.3MiB live, 949.0MiB allocated
Rules
12 604×lower-fma.f64
12 604×lower-fma.f32
12 304×lower-fma.f64
12 304×lower-fma.f32
10 746×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103612
1287607
2771605
32082601
44360601
56324601
08449579
06037465
118857233
258757154
080806824
05728026
117797829
255757681
081157318
09439017
129838763
085698257
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 587 to 275 computations (53.2% saved)

preprocess102.0ms (1%)

Memory
-29.3MiB live, 167.3MiB allocated
Compiler

Compiled 704 to 200 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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