Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

Time bar (total: 12.1s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (9.1%)

Memory
25.2MiB live, 1 451.6MiB allocated
Samples
885.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 553.0ms
ival-cos: 228.0ms (41.2% of total)
ival-sin: 171.0ms (30.9% of total)
ival-mult: 108.0ms (19.5% of total)
ival-sub: 38.0ms (6.9% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess55.0ms (0.5%)

Memory
-20.7MiB live, 92.4MiB allocated
Algorithm
2×egg-herbie
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
174×distribute-lft-neg-in
168×associate-*r*
162×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
19393
217493
338593
469193
592093
6110293
7115393
8116193
9116593
089
1159
2279
3399
4609
5909
61489
72169
82769
93059
103219
03219
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (* x (cos y)) (* z (sin y)))
Outputs
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
Call 2
Inputs
(- (* x (cos y)) (* z (sin y)))
(- (* (neg x) (cos y)) (* z (sin y)))
(- (* x (cos (neg y))) (* z (sin (neg y))))
(- (* x (cos y)) (* (neg z) (sin y)))
(neg (- (* (neg x) (cos y)) (* z (sin y))))
(neg (- (* x (cos (neg y))) (* z (sin (neg y)))))
(neg (- (* x (cos y)) (* (neg z) (sin y))))
(- (* y (cos x)) (* z (sin x)))
(- (* z (cos y)) (* x (sin y)))
(- (* x (cos z)) (* y (sin z)))
Outputs
(- (* x (cos y)) (* z (sin y)))
(- (* (neg x) (cos y)) (* z (sin y)))
(- (* x (neg (cos y))) (* z (sin y)))
(- (* x (cos (neg y))) (* z (sin (neg y))))
(+ (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* (neg z) (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(neg (- (* (neg x) (cos y)) (* z (sin y))))
(+ (* x (cos y)) (* z (sin y)))
(neg (- (* x (cos (neg y))) (* z (sin (neg y)))))
(- (* x (neg (cos y))) (* z (sin y)))
(neg (- (* x (cos y)) (* (neg z) (sin y))))
(- (* x (neg (cos y))) (* z (sin y)))
(- (* y (cos x)) (* z (sin x)))
(- (* z (cos y)) (* x (sin y)))
(- (* (cos y) z) (* x (sin y)))
(- (* x (cos z)) (* y (sin z)))

explain106.0ms (0.9%)

Memory
21.3MiB live, 260.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
54.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 15.0ms (40.2% of total)
ival-cos: 13.0ms (34.9% of total)
ival-mult: 6.0ms (16.1% of total)
ival-sub: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify29.0ms (0.2%)

Memory
-16.8MiB live, 21.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
64×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11524
22724
33924
46024
59024
614824
721624
827624
930524
1032124
032124
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
Outputs
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)

localize68.0ms (0.6%)

Memory
-28.7MiB live, 69.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.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: 15.0ms
ival-cos: 6.0ms (38.8% of total)
ival-sin: 5.0ms (32.4% of total)
ival-mult: 3.0ms (19.4% of total)
ival-sub: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (* z (sin y))>
Outputs
#<alt (* -1 (* 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)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (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))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

24 calls:

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

rewrite442.0ms (3.6%)

Memory
35.3MiB live, 823.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 986×accelerator-lowering-fma.f32
10 986×accelerator-lowering-fma.f64
4 356×*-lowering-*.f32
4 356×*-lowering-*.f64
3 866×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12819
220519
3198119
0836619
Stop Event
1×iter limit
1×node limit
Counts
4 → 231
Calls
Call 1
Inputs
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.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 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

simplify729.0ms (6%)

Memory
-47.8MiB live, 562.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 044×accelerator-lowering-fma.f32
12 044×accelerator-lowering-fma.f64
4 682×*-lowering-*.f32
4 682×*-lowering-*.f64
1 796×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097624
1292619
2837613
32075607
43601607
56258607
08452586
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (* 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))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (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))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y x) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y 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))

eval43.0ms (0.4%)

Memory
6.9MiB live, 87.2MiB allocated
Compiler

Compiled 15 429 to 729 computations (95.3% saved)

prune50.0ms (0.4%)

Memory
-1.5MiB live, 118.8MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New31215327
Fresh000
Picked011
Done000
Total31216328
Accuracy
99.9%
Counts
328 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
66.5%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶49.5%
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
66.5%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
44.4%
(/.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)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
50.0%
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
▶75.0%
(-.f64 x (*.f64 z (sin.f64 y)))
51.3%
(-.f64 x (*.f64 z y))
▶44.4%
(*.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)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
49.4%
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
62.0%
(*.f64 x (cos.f64 y))
39.3%
(neg.f64 (*.f64 z (sin.f64 y)))
▶38.4%
x
Compiler

Compiled 782 to 400 computations (48.8% saved)

simplify401.0ms (3.3%)

Memory
10.5MiB live, 597.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff320
(*.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)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓cost-diff6720
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(-.f64 x (*.f64 z (sin.f64 y)))
✓cost-diff0
(*.f64 y #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Rules
16 358×accelerator-lowering-fma.f32
16 358×accelerator-lowering-fma.f64
4 640×*-lowering-*.f32
4 640×*-lowering-*.f64
1 852×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038261
1106257
2293257
3809257
42478253
55375251
08260237
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
1
(/ 1 (- (* x (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
x
(+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)
y
(+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))
(+ (* z (* y 1/6)) (* x -1/2))
z
(* y 1/6)
1/6
(* x -1/2)
x
-1/2
(neg z)
(- x (* z (sin y)))
x
(* z (sin y))
z
(sin y)
y
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(- 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(neg (* z z))
(* z z)
z
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))
(* x x)
x
(+ 1/2 (* 1/2 (cos (+ y y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
1
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(* z (sin y))
(sin y)
Outputs
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1
#s(literal 1 binary64)
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
x
(+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)
(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z) x)
y
(+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))
(-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)
(+ (* z (* y 1/6)) (* x -1/2))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))
z
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(neg z)
(neg.f64 z)
(- x (* z (sin y)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
y
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 x z)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 x z))))
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(neg (* z z))
(neg.f64 (*.f64 z z))
(* z z)
(*.f64 z z)
z
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
1
#s(literal 1 binary64)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(sin y)
(sin.f64 y)

localize247.0ms (2%)

Memory
35.5MiB live, 435.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy88.5%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓accuracy76.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy52.7%
(*.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)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(-.f64 x (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy100.0%
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
✓accuracy99.9%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓accuracy99.8%
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
✓accuracy99.5%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Samples
74.0ms42×2valid
61.0ms75×1valid
47.0ms134×0valid
5.0ms5×3valid
Compiler

Compiled 258 to 40 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-mult: 51.0ms (33% of total)
ival-sub: 34.0ms (22% of total)
ival-cos: 26.0ms (16.8% of total)
ival-add: 11.0ms (7.1% of total)
adjust: 9.0ms (5.8% of total)
ival-div: 7.0ms (4.5% of total)
ival-sin: 6.0ms (3.9% of total)
ival-neg: 4.0ms (2.6% of total)
const: 4.0ms (2.6% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
-5.5MiB live, 107.5MiB allocated
Counts
15 → 420
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)>
#<alt (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))>
#<alt (+ (* z (* y 1/6)) (* x -1/2))>
#<alt (* y 1/6)>
#<alt (- x (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (sin y)>
#<alt (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))>
#<alt (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
Outputs
#<alt (* -1 (* 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)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
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#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
Calls

105 calls:

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

rewrite724.0ms (6%)

Memory
32.8MiB live, 1 090.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 398×accelerator-lowering-fma.f32
6 398×accelerator-lowering-fma.f64
5 444×*-lowering-*.f32
5 444×*-lowering-*.f64
4 554×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038138
1229117
22056117
09334113
Stop Event
1×iter limit
1×node limit
Counts
15 → 974
Calls
Call 1
Inputs
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)
(+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))
(+ (* z (* y 1/6)) (* x -1/2))
(* y 1/6)
(- x (* z (sin y)))
(* z (sin y))
(sin y)
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(- 1/2 (* 1/2 (cos (+ y y))))
(+ 1/2 (* 1/2 (cos (+ y y))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.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 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.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 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.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)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.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)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.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 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.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)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))

simplify508.0ms (4.2%)

Memory
-25.0MiB live, 732.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 628×accelerator-lowering-fma.f32
8 628×accelerator-lowering-fma.f64
7 716×*-lowering-*.f32
7 716×*-lowering-*.f64
3 196×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07206663
124516445
084116126
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
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(- (* x (cos y)) (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(/ -1 (* z (sin y)))
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(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
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(/ 1 (* x (cos y)))
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(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
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(/ 1 (- (* x (cos y)) (* z (sin y))))
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(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
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(* -1 (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
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(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
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(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
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(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
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x
(+ x (* -1 (* y z)))
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(* -1 z)
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(* -1 (* z (sin y)))
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(* z (sin y))
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(* 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))
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y
(* y (+ 1 (* -1/6 (pow y 2))))
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(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(pow x 2)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2))
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(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (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 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(fma.f64 x (/.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
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(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (-.f64 (fma.f64 (*.f64 z (neg.f64 z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (*.f64 x (cos.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (-.f64 (-.f64 (fma.f64 (*.f64 z (neg.f64 z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (*.f64 x (cos.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z z) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (cos.f64 y)))))) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 (neg.f64 x) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 z z) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (*.f64 x (cos.f64 y))) (*.f64 (*.f64 z z) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (neg.f64 x)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

eval354.0ms (2.9%)

Memory
-112.0MiB live, 556.3MiB allocated
Compiler

Compiled 62 815 to 3 170 computations (95% saved)

prune262.0ms (2.2%)

Memory
25.1MiB live, 455.5MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1 443291 472
Fresh7310
Picked325
Done011
Total1 453351 488
Accuracy
100.0%
Counts
1 488 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
66.5%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
36.0%
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
52.1%
(fma.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
49.5%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
31.1%
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
36.1%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
▶51.3%
(fma.f64 y (neg.f64 z) x)
▶99.0%
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
51.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
26.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
61.6%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
23.1%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
33.3%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
▶51.5%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
62.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))
34.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
▶51.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
38.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
39.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
49.7%
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
49.9%
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))
✓75.0%
(-.f64 x (*.f64 z (sin.f64 y)))
52.2%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
67.9%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
33.8%
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
▶39.3%
(*.f64 (sin.f64 y) (neg.f64 z))
88.3%
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
16.2%
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 z)))
16.2%
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
2.9%
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
62.0%
(*.f64 x (cos.f64 y))
✓38.4%
x
Compiler

Compiled 1 277 to 785 computations (38.5% saved)

simplify406.0ms (3.4%)

Memory
15.3MiB live, 610.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓cost-diff0
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓cost-diff12224
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 (sin.f64 y) (neg.f64 z))
✓cost-diff0
(*.f64 z y)
✓cost-diff0
(-.f64 x (*.f64 z y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(fma.f64 y (neg.f64 z) x)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓cost-diff128
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓cost-diff13760
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
Rules
10 916×accelerator-lowering-fma.f32
10 916×accelerator-lowering-fma.f64
4 030×*-lowering-*.f32
4 030×*-lowering-*.f64
1 574×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035231
180224
2208212
3620204
41889204
54577204
66453204
08120199
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
x
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(cos y)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(* z (sin y))
z
(sin y)
(neg (pow (cos y) 2))
(pow (cos y) 2)
2
(+ (* y (neg z)) x)
y
(neg z)
z
x
(/ 1 (/ 1 (- x (* z y))))
1
(/ 1 (- x (* z y)))
(- x (* z y))
x
(* z y)
z
y
(* (sin y) (neg z))
(sin y)
y
(neg z)
z
(/ 1 (pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2))
1
(pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2)
(pow (- (* x (cos y)) (* z (sin y))) -1/2)
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
-1/2
2
Outputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 x (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))) (cos.f64 y))
x
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(cos y)
(cos.f64 y)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
(neg (pow (cos y) 2))
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* y (neg z)) x)
(fma.f64 y (neg.f64 z) x)
y
(neg z)
(neg.f64 z)
z
x
(/ 1 (/ 1 (- x (* z y))))
(fma.f64 y (neg.f64 z) x)
1
#s(literal 1 binary64)
(/ 1 (- x (* z y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x))
(- x (* z y))
(fma.f64 y (neg.f64 z) x)
x
(* z y)
(*.f64 y z)
z
y
(* (sin y) (neg z))
(*.f64 (sin.f64 y) (neg.f64 z))
(sin y)
(sin.f64 y)
y
(neg z)
(neg.f64 z)
z
(/ 1 (pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1
#s(literal 1 binary64)
(pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow (- (* x (cos y)) (* z (sin y))) -1/2)
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)

localize152.0ms (1.3%)

Memory
-53.6MiB live, 336.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 z (sin.f64 y))
✓accuracy99.9%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓accuracy99.6%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(neg.f64 z)
✓accuracy99.9%
(*.f64 (sin.f64 y) (neg.f64 z))
✓accuracy100.0%
(*.f64 z y)
✓accuracy100.0%
(-.f64 x (*.f64 z y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
✓accuracy100.0%
(fma.f64 y (neg.f64 z) x)
✓accuracy100.0%
(neg.f64 z)
✓accuracy99.8%
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓accuracy99.8%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓accuracy99.8%
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.5%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
48.0ms123×0invalid
41.0ms133×0valid
Compiler

Compiled 224 to 37 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 15.0ms (22.3% of total)
ival-cos: 13.0ms (19.3% of total)
ival-div: 9.0ms (13.4% of total)
ival-sub: 8.0ms (11.9% of total)
ival-sin: 7.0ms (10.4% of total)
ival-pow2: 5.0ms (7.4% of total)
ival-add: 3.0ms (4.5% of total)
ival-pow: 3.0ms (4.5% of total)
ival-neg: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
14.6MiB live, 125.5MiB allocated
Counts
19 → 516
Calls
Call 1
Inputs
#<alt (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))>
#<alt (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))>
#<alt (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (+ (* y (neg z)) x)>
#<alt (neg z)>
#<alt (/ 1 (/ 1 (- x (* z y))))>
#<alt (/ 1 (- x (* z y)))>
#<alt (- x (* z y))>
#<alt (* z y)>
#<alt (* (sin y) (neg z))>
#<alt (sin y)>
#<alt (pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2)>
#<alt (/ 1 (pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2))>
#<alt (pow (- (* x (cos y)) (* z (sin y))) -1/2)>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))>
#<alt (* x (cos y))>
#<alt (* z (sin y))>
Outputs
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z)))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))))))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ x y)))>
#<alt (* y (+ (* -1 z) (/ x y)))>
#<alt (* y (+ (* -1 z) (/ x y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ x z)))>
#<alt (* z (+ (* -1 y) (/ x z)))>
#<alt (* z (+ (* -1 y) (/ x z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))>
#<alt (* -1 (* y z))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
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#<alt (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))>
#<alt (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))>
#<alt (+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))>
#<alt (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))>
#<alt (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))>
#<alt (* -1 (* 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)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* y z)>
#<alt (* y (+ z (* -7/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* 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

129 calls:

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

rewrite455.0ms (3.8%)

Memory
-1.3MiB live, 803.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 830×accelerator-lowering-fma.f32
5 830×accelerator-lowering-fma.f64
4 840×*-lowering-*.f32
4 840×*-lowering-*.f64
4 358×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035174
1196169
21518162
08583157
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 061
Calls
Call 1
Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(+ (* y (neg z)) x)
(neg z)
(/ 1 (/ 1 (- x (* z y))))
(/ 1 (- x (* z y)))
(- x (* z y))
(* z y)
(* (sin y) (neg z))
(sin y)
(pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2)
(/ 1 (pow (pow (- (* x (cos y)) (* z (sin y))) -1/2) 2))
(pow (- (* x (cos y)) (* z (sin y))) -1/2)
(- (* x (cos y)) (* z (sin y)))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(* x (cos y))
(* z (sin y))
Outputs
(+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))) (/.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (*.f64 (sin.f64 y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 z (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 z (sin.f64 y)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (sin.f64 y) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1/2 binary64))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(*.f64 (sin.f64 y) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) z)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (sin.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

simplify481.0ms (4%)

Memory
16.0MiB live, 691.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 638×accelerator-lowering-fma.f32
9 638×accelerator-lowering-fma.f64
8 194×*-lowering-*.f32
8 194×*-lowering-*.f64
3 058×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08317047
127276852
083706565
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
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(* x (cos y))
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x
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Outputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
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(* 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))

eval360.0ms (3%)

Memory
29.0MiB live, 452.2MiB allocated
Compiler

Compiled 52 233 to 3 448 computations (93.4% saved)

prune536.0ms (4.4%)

Memory
-23.2MiB live, 482.2MiB allocated
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1 664281 692
Fresh111627
Picked325
Done033
Total1 678491 727
Accuracy
100.0%
Counts
1 727 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
49.7%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
36.0%
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
52.1%
(fma.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
49.5%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
31.1%
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
39.4%
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) x)
36.1%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
✓51.3%
(fma.f64 y (neg.f64 z) x)
63.4%
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (neg.f64 y)))
51.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
51.2%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
25.0%
(/.f64 (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x x)) (fma.f64 y (neg.f64 z) (neg.f64 x)))
61.6%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
▶26.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
31.4%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
21.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
31.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))
37.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
34.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
16.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
38.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z))))
38.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
39.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
▶16.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
▶26.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓75.0%
(-.f64 x (*.f64 z (sin.f64 y)))
52.2%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
16.2%
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (neg.f64 z))
67.9%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
16.4%
(*.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) y) (neg.f64 z))
23.1%
(*.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
24.6%
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
26.8%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
33.8%
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓39.3%
(*.f64 (sin.f64 y) (neg.f64 z))
62.0%
(*.f64 (cos.f64 y) x)
88.3%
(*.f64 z (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))
45.6%
(*.f64 z (-.f64 (/.f64 x z) y))
▶16.8%
(*.f64 z (neg.f64 y))
16.4%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (neg.f64 z)))
38.8%
(*.f64 y (-.f64 (/.f64 x y) z))
16.2%
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
2.9%
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
61.5%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
47.1%
(neg.f64 (*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
✓38.4%
x
Compiler

Compiled 1 669 to 1 030 computations (38.3% saved)

simplify506.0ms (4.2%)

Memory
-6.5MiB live, 498.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
✓cost-diff128
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
✓cost-diff0
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
✓cost-diff1408
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
✓cost-diff0
(*.f64 z y)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 z y))
✓cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 z (neg.f64 y))
✓cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff576
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal -1 binary64))
✓cost-diff7552
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
Rules
9 448×accelerator-lowering-fma.f32
9 448×accelerator-lowering-fma.f64
4 486×*-lowering-*.f32
4 486×*-lowering-*.f64
2 638×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042317
1112307
2278266
3806260
42763259
54505259
08214244
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1) (/ z (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1)
(* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y))
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(sin y)
-1
(/ z (+ 1/2 (* 1/2 (cos (+ y y)))))
z
(+ 1/2 (* 1/2 (cos (+ y y))))
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* x (+ (* 1/2 (cos (* y -2))) 1/2))
x
(cos y)
(* z (neg y))
z
(neg y)
y
(/ 1 (/ -1 (* z y)))
1
(/ -1 (* z y))
-1
(* z y)
z
y
(/ 1 (* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x)))
1
(* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x))
(/ 1 (* (+ (* y z) x) (- x (* y z))))
(* (+ (* y z) x) (- x (* y z)))
(+ (* y z) x)
y
z
x
(- x (* y z))
(* y z)
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (neg (sin y)))
(* z (+ 1/2 (* -1/2 (cos (* y -2)))))
z
(+ 1/2 (* -1/2 (cos (* y -2))))
1/2
(* -1/2 (cos (* y -2)))
-1/2
(cos (* y -2))
(* y -2)
y
-2
(neg (sin y))
(sin y)
Outputs
(+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1) (/ z (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (/.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 x (cos.f64 y))))
(/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1)
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 y)))
(* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(sin y)
(sin.f64 y)
-1
#s(literal -1 binary64)
(/ z (+ 1/2 (* 1/2 (cos (+ y y)))))
(/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
z
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(* 1/2 (cos (+ y y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(* x (+ (* 1/2 (cos (* y -2))) 1/2))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) x x))
x
(cos y)
(cos.f64 y)
(* z (neg y))
(*.f64 z (neg.f64 y))
z
(neg y)
(neg.f64 y)
y
(/ 1 (/ -1 (* z y)))
(*.f64 z (neg.f64 y))
1
#s(literal 1 binary64)
(/ -1 (* z y))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
-1
#s(literal -1 binary64)
(* z y)
(*.f64 y z)
z
y
(/ 1 (* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x)))
(-.f64 x (*.f64 y z))
1
#s(literal 1 binary64)
(* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(/ 1 (* (+ (* y z) x) (- x (* y z))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(* (+ (* y z) x) (- x (* y z)))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(+ (* y z) x)
(fma.f64 y z x)
y
z
x
(- x (* y z))
(-.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (neg (sin y)))
(*.f64 (/.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* z (+ 1/2 (* -1/2 (cos (* y -2)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
z
(+ 1/2 (* -1/2 (cos (* y -2))))
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* -1/2 (cos (* y -2)))
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(neg (sin y))
(neg.f64 (sin.f64 y))
(sin y)
(sin.f64 y)

localize259.0ms (2.1%)

Memory
12.8MiB live, 481.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy93.7%
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
✓accuracy90.9%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
✓accuracy76.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
✓accuracy99.8%
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
✓accuracy46.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x))
✓accuracy100.0%
(*.f64 z y)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
✓accuracy99.4%
(/.f64 #s(literal -1 binary64) (*.f64 z y))
✓accuracy100.0%
(*.f64 z (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.7%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
✓accuracy99.7%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
✓accuracy99.1%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
Samples
65.0ms72×2valid
55.0ms134×0valid
38.0ms36×1valid
22.0ms13×3valid
10.0ms1×4valid
Compiler

Compiled 291 to 44 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 48.0ms (35.1% of total)
ival-cos: 34.0ms (24.8% of total)
ival-div: 21.0ms (15.3% of total)
adjust: 13.0ms (9.5% of total)
ival-add: 11.0ms (8% of total)
ival-sin: 5.0ms (3.7% of total)
ival-neg: 2.0ms (1.5% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory
-1.9MiB live, 117.6MiB allocated
Counts
20 → 444
Calls
Call 1
Inputs
#<alt (+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1) (/ z (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))>
#<alt (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1)>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y))>
#<alt (* z (neg y))>
#<alt (neg y)>
#<alt (/ 1 (/ -1 (* z y)))>
#<alt (/ -1 (* z y))>
#<alt (* z y)>
#<alt (/ 1 (* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x)))>
#<alt (* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x))>
#<alt (/ 1 (* (+ (* y z) x) (- x (* y z))))>
#<alt (* (+ (* y z) x) (- x (* y z)))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (neg (sin y)))>
#<alt (+ 1/2 (* -1/2 (cos (* y -2))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* y -2)))))>
#<alt (* -1/2 (cos (* y -2)))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))>
#<alt (cos (* y -2))>
Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 y)>
#<alt (* y (- (* 7/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 7/6 (* -61/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 7/6 (* (pow y 2) (- (* 547/5040 (pow y 2)) 61/120)))) 1))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (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 y>
#<alt (* y (+ 1 (* -7/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 61/120 (pow y 2)) 7/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 61/120 (* -547/5040 (pow y 2)))) 7/6))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)>
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y)>
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))>
#<alt (+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)>
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)>
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))>
#<alt (/ -1 (* y z))>
#<alt (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))>
#<alt (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))>
#<alt (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (* y z) x)) x)>
#<alt (/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)>
#<alt (/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* -1 (* y (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4)))))) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2))) (/ (* (pow z 2) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4)))))) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (/ -1 (* (pow y 2) (pow z 2)))>
#<alt (/ (- (* -1 (/ (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4))) (pow y 2))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) (pow z 2)) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (pow y 3))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (/ 1 (pow z 2)) (+ (/ x (* y (pow z 3))) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))))) (pow y 2))>
#<alt (/ -1 (* (pow y 2) (pow z 2)))>
#<alt (/ (- (+ (* -1 (/ x (* y (pow z 3)))) (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* y (pow z 2))) (/ (pow x 2) (* y (pow z 4)))) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) (* y (pow z 2))) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* y (pow z 2)))) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) y)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* -1 (* z (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 4)))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) (pow x 2))) (/ (* (pow y 2) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))))) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 4)))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (/ -1 (* (pow y 2) (pow z 2)))>
#<alt (/ (- (* -1 (/ (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4))) (pow z 2))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4)))) (pow y 2)) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (pow z 3))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (/ 1 (pow y 2)) (+ (/ x (* (pow y 3) z)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 4) (pow z 2)))))))) (pow z 2))>
#<alt (/ -1 (* (pow y 2) (pow z 2)))>
#<alt (/ (- (+ (* -1 (/ x (* (pow y 3) z))) (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z)) (/ (pow x 2) (* (pow y 4) z))) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4)))) (* (pow y 2) z)) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z))) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4)))) z)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ -1 (* (pow y 2) (pow z 2)))>
#<alt (- (* -1 (/ (pow x 2) (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 2) (pow z 2))))>
#<alt (- (* (pow x 2) (- (* -1 (/ (pow x 2) (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (* (pow y 8) (pow z 8)))) (/ 1 (* (pow y 6) (pow z 6))))) (/ 1 (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* y z)) x))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2))) (pow x 2)))) (+ (* -1 (/ (* y z) x)) (/ (* y z) x))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2))))) (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1 (/ (pow (+ (* -1 (* y z)) (* y z)) 2) (pow x 2))) (/ (* y z) x))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* y z)) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* -1 (/ (pow (+ (* -1 (* y z)) (* y z)) 2) x))) (* -1 (+ (* -1 (* y z)) (* y z)))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z)))) x)) (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2)))) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2)))) x)) (* -1 (+ (* -1 (* y z)) (* y z)))) x))) (pow x 2))>
#<alt (pow x 2)>
#<alt (+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))>
#<alt (pow x 2)>
#<alt (+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -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 (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))>
#<alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))>
#<alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt -1/2>
#<alt (- (pow y 2) 1/2)>
#<alt (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)>
#<alt (- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt x>
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
Calls

111 calls:

TimeVariablePointExpression
14.0ms
z
@0
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (neg (sin y)))
3.0ms
y
@-inf
(/ 1 (* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x)))
1.0ms
y
@inf
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (neg (sin y)))
1.0ms
y
@-inf
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (neg (sin y)))
1.0ms
y
@-inf
(+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1) (/ z (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))

rewrite415.0ms (3.4%)

Memory
-7.7MiB live, 804.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 928×*-lowering-*.f32
4 928×*-lowering-*.f64
4 926×/-lowering-/.f32
4 926×/-lowering-/.f64
4 046×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042215
1247173
22279173
08725163
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 105
Calls
Call 1
Inputs
(+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1) (/ z (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) -1)
(+ 1/2 (* 1/2 (cos (+ y y))))
(* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y))
(* z (neg y))
(neg y)
(/ 1 (/ -1 (* z y)))
(/ -1 (* z y))
(* z y)
(/ 1 (* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x)))
(* (/ 1 (* (+ (* y z) x) (- x (* y z)))) (+ (* y z) x))
(/ 1 (* (+ (* y z) x) (- x (* y z))))
(* (+ (* y z) x) (- x (* y z)))
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (neg (sin y)))
(+ 1/2 (* -1/2 (cos (* y -2))))
(* z (+ 1/2 (* -1/2 (cos (* y -2)))))
(* -1/2 (cos (* y -2)))
(+ (* 1/2 (cos (* y -2))) 1/2)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(cos (* y -2))
Outputs
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (cos.f64 y)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (cos.f64 y))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(pow.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (cos.f64 y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))
(cos.f64 (*.f64 y #s(literal -2 binary64)))

simplify512.0ms (4.2%)

Memory
-5.3MiB live, 796.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 398×accelerator-lowering-fma.f32
9 398×accelerator-lowering-fma.f64
5 936×*-lowering-*.f32
5 936×*-lowering-*.f64
3 540×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07996394
126385061
087274769
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))
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(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
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(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 y)
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(* y (- (* (pow y 2) (+ 7/6 (* (pow y 2) (- (* 547/5040 (pow y 2)) 61/120)))) 1))
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(* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
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(* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
1
(+ 1 (* -1 (pow y 2)))
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(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
y
(* y (+ 1 (* -7/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 61/120 (pow y 2)) 7/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 61/120 (* -547/5040 (pow y 2)))) 7/6))))
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(* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))
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(* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))
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x
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x
(* -1 (* x (- (/ (* y z) x) 1)))
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(/ -1 (* (pow y 2) (pow z 2)))
(/ (- (* -1 (/ (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))
(/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4))) (pow y 2))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))))) (pow y 2))
(/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) (pow z 2)) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (pow y 3))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (/ 1 (pow z 2)) (+ (/ x (* y (pow z 3))) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))))) (pow y 2))
(/ -1 (* (pow y 2) (pow z 2)))
(/ (- (+ (* -1 (/ x (* y (pow z 3)))) (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2))
(/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* y (pow z 2))) (/ (pow x 2) (* y (pow z 4)))) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) (* y (pow z 2))) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* y (pow z 2)))) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) y)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))
(/ 1 (pow x 2))
(+ (* -1 (* z (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 4)))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) (pow x 2))) (/ (* (pow y 2) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))))) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))) (* -1 (/ (pow y 2) (pow x 4)))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(/ -1 (* (pow y 2) (pow z 2)))
(/ (- (* -1 (/ (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4))) (pow z 2))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))))) (pow z 2))
(/ (- (* -1 (/ (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4)))) (pow y 2)) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (pow z 3))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (/ 1 (pow y 2)) (+ (/ x (* (pow y 3) z)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 4) (pow z 2)))))))) (pow z 2))
(/ -1 (* (pow y 2) (pow z 2)))
(/ (- (+ (* -1 (/ x (* (pow y 3) z))) (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2))
(/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z)) (/ (pow x 2) (* (pow y 4) z))) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4)))) (* (pow y 2) z)) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z))) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2)) (/ (pow x 2) (pow y 4)))) z)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ -1 (* (pow y 2) (pow z 2)))
(- (* -1 (/ (pow x 2) (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 2) (pow z 2))))
(- (* (pow x 2) (- (* -1 (/ (pow x 2) (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (* (pow y 8) (pow z 8)))) (/ 1 (* (pow y 6) (pow z 6))))) (/ 1 (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* y z)) x))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2))) (pow x 2)))) (+ (* -1 (/ (* y z) x)) (/ (* y z) x))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2))))) (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1 (/ (pow (+ (* -1 (* y z)) (* y z)) 2) (pow x 2))) (/ (* y z) x))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* y z)) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* -1 (/ (pow (+ (* -1 (* y z)) (* y z)) 2) x))) (* -1 (+ (* -1 (* y z)) (* y z)))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z)))) x)) (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2)))) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (pow (+ (* -1 (* y z)) (* y z)) 2)))) x)) (* -1 (+ (* -1 (* y z)) (* y z)))) x))) (pow x 2))
(pow x 2)
(+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(pow x 2)
(+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
-1/2
(- (pow y 2) 1/2)
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) x)
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
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(*.f64 y (*.f64 y z))
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
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(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
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(* z (+ 1/2 (* -1/2 (cos (* -2 y)))))
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(*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (pow y 2) 1/2)
(fma.f64 y y #s(literal -1/2 binary64))
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(* -1/2 (cos (* -2 y)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* -1/2 (cos (* -2 y)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* -1/2 (cos (* -2 y)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* -1/2 (cos (* -2 y)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* -1/2 (cos (* -2 y)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* -1/2 (cos (* -2 y)))
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(* -1/2 (cos (* -2 y)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(* -1/2 (cos (* -2 y)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/24 binary64)))) (fma.f64 x #s(literal -1/720 binary64) (*.f64 x #s(literal -1/48 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
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(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))

eval367.0ms (3%)

Memory
24.0MiB live, 455.3MiB allocated
Compiler

Compiled 48 093 to 4 296 computations (91.1% saved)

prune569.0ms (4.7%)

Memory
3.5MiB live, 612.1MiB allocated
Pruning

60 alts after pruning (53 fresh and 7 done)

PrunedKeptTotal
New1 603201 623
Fresh63339
Picked325
Done055
Total1 612601 672
Accuracy
100.0%
Counts
1 672 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x)
49.7%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
36.0%
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
52.1%
(fma.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
49.5%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
31.1%
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
39.4%
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) x)
36.1%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
✓51.3%
(fma.f64 y (neg.f64 z) x)
99.5%
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
63.4%
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (neg.f64 y)))
51.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
51.2%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
25.0%
(/.f64 (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x x)) (fma.f64 y (neg.f64 z) (neg.f64 x)))
26.0%
(/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y))
61.6%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
31.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 y (-.f64 x (*.f64 y z))) (/.f64 x (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
31.4%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
21.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
31.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))
37.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
50.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
16.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y))
14.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)))
26.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z))))
38.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z))))
38.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
39.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
✓16.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
16.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
50.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
26.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
16.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))))) (fma.f64 y z x)))
20.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y z x)))
8.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z)))) (fma.f64 y z x)))
18.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)) (fma.f64 y z x)))
27.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓75.0%
(-.f64 x (*.f64 z (sin.f64 y)))
16.2%
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (neg.f64 z))
67.9%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
16.4%
(*.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) y) (neg.f64 z))
26.0%
(*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) z)
23.1%
(*.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
26.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
16.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
✓39.3%
(*.f64 (sin.f64 y) (neg.f64 z))
62.0%
(*.f64 (cos.f64 y) x)
88.3%
(*.f64 z (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))
45.6%
(*.f64 z (-.f64 (/.f64 x z) y))
✓16.8%
(*.f64 z (neg.f64 y))
16.4%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
16.4%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (neg.f64 z)))
38.8%
(*.f64 y (-.f64 (/.f64 x y) z))
16.2%
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
2.9%
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
61.5%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
47.1%
(neg.f64 (*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
✓38.4%
x
Compiler

Compiled 2 657 to 1 009 computations (62% saved)

regimes109.0ms (0.9%)

Memory
2.5MiB live, 238.3MiB allocated
Counts
93 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) 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))) (neg.f64 z)))
(*.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x x)) (fma.f64 y (neg.f64 z) (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))))) (fma.f64 y z x)))
(*.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 y (-.f64 x (*.f64 y z))) (/.f64 x (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
(*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) z)
(/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
(/.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)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 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)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(fma.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

27.0ms
y
25.0ms
z
25.0ms
x
25.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes173.0ms (1.4%)

Memory
-20.7MiB live, 179.7MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) 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))) (neg.f64 z)))
(*.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x x)) (fma.f64 y (neg.f64 z) (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))))) (fma.f64 y z x)))
(*.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 y (-.f64 x (*.f64 y z))) (/.f64 x (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

4 calls:

47.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
45.0ms
x
42.0ms
z
36.0ms
y
Results
AccuracySegmentsBranch
86.3%3x
77.8%2y
86.5%3z
75.0%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes69.0ms (0.6%)

Memory
-0.4MiB live, 119.5MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) 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))) (neg.f64 z)))
(*.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x x)) (fma.f64 y (neg.f64 z) (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))))) (fma.f64 y z x)))
(*.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 y (-.f64 x (*.f64 y z))) (/.f64 x (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
Calls

3 calls:

26.0ms
z
23.0ms
x
16.0ms
y
Results
AccuracySegmentsBranch
77.4%4y
78.3%3x
76.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes123.0ms (1%)

Memory
-3.0MiB live, 158.1MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) 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))) (neg.f64 z)))
(*.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x x)) (fma.f64 y (neg.f64 z) (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))))) (fma.f64 y z x)))
(*.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 y (-.f64 x (*.f64 y z))) (/.f64 x (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
Outputs
(*.f64 x (cos.f64 y))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(*.f64 x (cos.f64 y))
Calls

4 calls:

44.0ms
z
41.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
x
17.0ms
y
Results
AccuracySegmentsBranch
75.6%3y
69.3%3z
65.3%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
70.2%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes113.0ms (0.9%)

Memory
6.4MiB live, 125.5MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) 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))) (neg.f64 z)))
(*.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x x)) (fma.f64 y (neg.f64 z) (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (neg.f64 z))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x)) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))))) (fma.f64 y z x)))
(*.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
Outputs
(fma.f64 y (neg.f64 z) x)
Calls

4 calls:

44.0ms
z
34.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
51.3%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.3%1z
51.3%1x
51.3%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes39.0ms (0.3%)

Memory
-17.6MiB live, 22.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 z y))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
51.3%1x
51.3%1y
51.3%1z
51.3%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
Outputs
(*.f64 z (neg.f64 y))
x
(*.f64 z (neg.f64 y))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
41.7%3x
38.4%1y
42.8%3z
38.4%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.4%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
38.4%1x
38.4%1z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch46.0ms (0.4%)

Memory
8.4MiB live, 47.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.3244483998258763e-102
6.394375758781695e-102
32.0ms
-2.0029394278892767e-66
-2.5449389017933187e-73
Samples
36.0ms240×0valid
Compiler

Compiled 285 to 209 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-cos: 21.0ms (70% of total)
ival-sin: 5.0ms (16.7% of total)
ival-mult: 3.0ms (10% of total)
ival-sub: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch71.0ms (0.6%)

Memory
-34.6MiB live, 45.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
5.670075967112853e-171
3.2444898633998123e-152
16.0ms
-1.8393238389854132e-25
-5.183180975134574e-29
Samples
39.0ms288×0valid
Compiler

Compiled 321 to 248 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 18.0ms (57% of total)
ival-cos: 6.0ms (19% of total)
ival-sin: 6.0ms (19% of total)
ival-sub: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Memory
7.9MiB live, 45.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
6.7674022074934685e-15
3.629122962428671
20.0ms
-50578990.9455719
-727.4140258673003
Samples
38.0ms304×0valid
Compiler

Compiled 661 to 394 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (35% of total)
ival-sin: 6.0ms (35% of total)
ival-mult: 4.0ms (23.3% of total)
ival-sub: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
26.2MiB live, 26.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
3.2168722242950104e+135
5.216039732869271e+135
17.0ms
-1.3589850850824674e+188
-9.661836917541632e+180
Samples
17.0ms208×0valid
Compiler

Compiled 184 to 144 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (40.8% of total)
ival-sin: 4.0ms (32.7% of total)
ival-mult: 3.0ms (24.5% of total)
ival-sub: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify22.0ms (0.2%)

Memory
-23.9MiB live, 12.5MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
22×+-commutative_binary64
22×sub-neg_binary64
16×cancel-sign-sub-inv_binary64
14×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050106
192106
2119106
3130106
4135106
5136106
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 6604434243437697/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -740 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) (-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))) (*.f64 x (cos.f64 y))))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 4399999999999999896606886656158450140574614779693151524602422963933029598611368952491434075145245931363423906157786898699348849406771200 binary64)) x (*.f64 z (neg.f64 y))))
x
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 6604434243437697/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 6604434243437697/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -740 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) (-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -740 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) (-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) (*.f64 x (cos.f64 y))))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 4399999999999999896606886656158450140574614779693151524602422963933029598611368952491434075145245931363423906157786898699348849406771200 binary64)) x (*.f64 z (neg.f64 y))))
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (neg.f64 (*.f64 y z)) (if (<=.f64 z #s(literal 4399999999999999896606886656158450140574614779693151524602422963933029598611368952491434075145245931363423906157786898699348849406771200 binary64)) x (neg.f64 (*.f64 y z))))
x

soundness886.0ms (7.3%)

Memory
-3.3MiB live, 445.1MiB allocated
Rules
12 044×accelerator-lowering-fma.f32
12 044×accelerator-lowering-fma.f64
9 638×accelerator-lowering-fma.f32
9 638×accelerator-lowering-fma.f64
8 628×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07206663
124516445
084116126
097624
1292619
2837613
32075607
43601607
56258607
08452586
08317047
127276852
083706565
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 248 to 133 computations (46.4% saved)

preprocess67.0ms (0.6%)

Memory
7.8MiB live, 124.2MiB allocated
Compiler

Compiled 270 to 114 computations (57.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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