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

Time bar (total: 11.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.3s (11.7%)

Memory
-184.6MiB live, 1 327.0MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 846.0ms
ival-cos: 488.0ms (57.7% of total)
ival-sin: 172.0ms (20.3% of total)
ival-mult: 141.0ms (16.7% of total)
ival-sub: 36.0ms (4.3% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess51.0ms (0.5%)

Memory
35.4MiB live, 74.5MiB 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) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
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)))

explain149.0ms (1.4%)

Memory
-16.8MiB live, 211.4MiB 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
51.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 14.0ms (40.2% of total)
ival-cos: 11.0ms (31.6% of total)
ival-mult: 7.0ms (20.1% of total)
ival-sub: 2.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB 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)

simplify30.0ms (0.3%)

Memory
-15.6MiB live, 27.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(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) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)

localize54.0ms (0.5%)

Memory
7.2MiB live, 46.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.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: 16.0ms
ival-cos: 6.0ms (37.7% of total)
ival-sin: 5.0ms (31.4% of total)
ival-mult: 3.0ms (18.9% of total)
ival-sub: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (cos y)>
#<alt (sin y)>
#<alt (* x (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 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* 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

27 calls:

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

rewrite648.0ms (5.9%)

Memory
2.2MiB live, 856.8MiB 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
0821
12821
220521
3198121
0836621
Stop Event
1×iter limit
1×node limit
Counts
5 → 232
Calls
Call 1
Inputs
(- (* x (cos y)) (* z (sin y)))
(cos y)
(sin y)
(* x (cos y))
(* z (sin y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (/.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)) (-.f64 #s(literal 0 binary64) (*.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)) (-.f64 #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 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)) (-.f64 #s(literal 0 binary64) (*.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 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)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))))))
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(*.f64 (-.f64 (pow.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))))) #s(literal 2 binary64)) (pow.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))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.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))))))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 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 #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)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.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 (/.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)))))
(cos.f64 y)
(sin.f64 y)
(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)))
(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))))

simplify454.0ms (4.1%)

Memory
5.1MiB live, 712.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 936×accelerator-lowering-fma.f32
12 936×accelerator-lowering-fma.f64
4 366×*-lowering-*.f32
4 366×*-lowering-*.f64
2 310×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112686
1339681
2929669
32675663
44616663
57378663
08249636
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* 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))
(* 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)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
x
(+ x (* -1 (* y z)))
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))

eval79.0ms (0.7%)

Memory
-12.3MiB live, 101.7MiB allocated
Compiler

Compiled 15 762 to 736 computations (95.3% saved)

prune77.0ms (0.7%)

Memory
10.9MiB live, 131.5MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New32317340
Fresh000
Picked011
Done000
Total32318341
Accuracy
99.9%
Counts
341 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
60.0%
(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)))
73.0%
(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)))))))
▶43.2%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 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)))))))
99.8%
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
36.7%
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
50.7%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
50.6%
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
▶64.6%
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
43.6%
(/.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))))
21.4%
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (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 (*.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))))))))
▶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)))
51.9%
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
75.6%
(-.f64 x (*.f64 z (sin.f64 y)))
50.6%
(*.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)))))))
24.9%
(*.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))))))
▶41.6%
x
Compiler

Compiled 920 to 462 computations (49.8% saved)

simplify291.0ms (2.6%)

Memory
-6.7MiB live, 350.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 y)
✓cost-diff128
(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))))))
✓cost-diff192
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff13888
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 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)))))))
✓cost-diff0
(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)))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 y))
✓cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
Rules
6 200×accelerator-lowering-fma.f32
6 200×accelerator-lowering-fma.f64
2 906×*-lowering-*.f32
2 906×*-lowering-*.f64
1 430×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030249
178246
2194245
3550245
41491245
53372245
65900237
77230237
87963237
08011226
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- 0 (sin y)) z) (* x (cos y)))
(- 0 (sin y))
0
(sin y)
y
z
(* x (cos y))
x
(cos y)
x
(+ (* x (cos y)) 0)
x
(cos y)
y
0
(/ 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 (* x (cos y))) (/ (cos y) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
(* x (* x (cos y)))
x
(* x (cos y))
(cos y)
y
(/ (cos y) (+ (* x (cos y)) (* z (sin y))))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
z
(sin y)
(neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
(- 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(/ (* z z) (+ (* x (cos y)) (* z (sin y))))
(* z z)
Outputs
(+ (* (- 0 (sin y)) z) (* x (cos y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(- 0 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
0
#s(literal 0 binary64)
(sin y)
(sin.f64 y)
y
z
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
x
(+ (* x (cos y)) 0)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
y
0
#s(literal 0 binary64)
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
(+ (* (* x (* x (cos y))) (/ (cos y) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (* x (cos y)))
(fma.f64 x (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(cos y)
(cos.f64 y)
y
(/ (cos y) (+ (* x (cos y)) (* z (sin y))))
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (sin y))
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
(neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
(/ (* z z) (+ (* x (cos y)) (* z (sin y))))
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))
(* z z)
(fma.f64 z z #s(literal 0 binary64))

localize186.0ms (1.7%)

Memory
22.3MiB live, 336.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy89.3%
(*.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)))))
✓accuracy81.6%
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓accuracy76.8%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy66.4%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 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)))))))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(/.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)))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
51.0ms59×1valid
46.0ms66×2valid
40.0ms131×0valid
Compiler

Compiled 248 to 32 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-cos: 30.0ms (29.4% of total)
ival-sin: 20.0ms (19.6% of total)
ival-mult: 19.0ms (18.6% of total)
ival-div: 9.0ms (8.8% of total)
ival-add: 8.0ms (7.8% of total)
adjust: 7.0ms (6.9% of total)
ival-sub: 6.0ms (5.9% of total)
ival-neg: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
-10.5MiB live, 106.9MiB allocated
Counts
15 → 408
Calls
Call 1
Inputs
#<alt (+ (* (- 0 (sin y)) z) (* x (cos y)))>
#<alt (- 0 (sin y))>
#<alt (sin y)>
#<alt (cos y)>
#<alt (+ (* x (cos y)) 0)>
#<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 (* x (cos y))) (/ (cos y) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))>
#<alt (* x (cos y))>
#<alt (* z (sin y))>
#<alt (/ (* z z) (+ (* x (cos y)) (* z (sin y))))>
#<alt (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))>
Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<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))) (* 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))) (* x (cos 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin 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 (* 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 (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<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 (* 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))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -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)>
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#<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))>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))>
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))>
#<alt (/ z (sin y))>
#<alt (* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))>
#<alt (* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))))>
#<alt (/ z (sin y))>
#<alt (* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))>
#<alt (/ z (sin y))>
#<alt (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y)))>
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* z (pow (sin y) 3)))))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (/ (pow z 2) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (/ (pow z 2) x)>
#<alt (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* 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 (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 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 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* 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 (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>
Calls

102 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(+ (* (* x (* x (cos y))) (/ (cos y) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
4.0ms
z
@inf
(+ (* (* x (* x (cos y))) (/ (cos y) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
3.0ms
x
@-inf
(/ 1 (- (* x (cos y)) (* z (sin y))))
2.0ms
y
@-inf
(+ (* (* x (* x (cos y))) (/ (cos y) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
1.0ms
x
@inf
(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))

rewrite179.0ms (1.6%)

Memory
18.3MiB live, 295.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 198×accelerator-lowering-fma.f32
1 198×accelerator-lowering-fma.f64
990×*-lowering-*.f32
990×*-lowering-*.f64
696×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030136
1187116
01723113
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
15 → 641
Calls
Call 1
Inputs
(+ (* (- 0 (sin y)) z) (* x (cos y)))
(- 0 (sin y))
(sin y)
(cos y)
(+ (* x (cos y)) 0)
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(+ (* (* x (* x (cos y))) (/ (cos y) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
(- 1/2 (* 1/2 (cos (+ y y))))
(neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
(* x (cos y))
(* z (sin y))
(/ (* z z) (+ (* x (cos y)) (* z (sin y))))
(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))
(+.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z z)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z z)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (*.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(/.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 z z)))
(/.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 z z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) z) (/.f64 z (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))))

simplify601.0ms (5.5%)

Memory
-8.0MiB live, 986.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 338×accelerator-lowering-fma.f32
8 338×accelerator-lowering-fma.f64
6 200×*-lowering-*.f32
6 200×*-lowering-*.f64
4 520×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09558640
132948417
082108204
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos 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))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x (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 (* 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)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin 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))))
(- (* 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))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) 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)
(/ (- (+ (/ 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)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* 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))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -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))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -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)))))
(* -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)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (/ (pow (cos y) 2) (* z (sin y))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/ (pow z 2) x)
(+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* 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)))))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* 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))))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
Outputs
x
(+ x (* -1 (* y z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/6 (pow y 2)) 1))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* x (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 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #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 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #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 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* -1 (* y z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.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 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.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 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (-.f64 #s(literal 0 binary64) x))

eval184.0ms (1.7%)

Memory
-1.2MiB live, 424.2MiB allocated
Compiler

Compiled 46 938 to 2 323 computations (95.1% saved)

prune162.0ms (1.5%)

Memory
11.5MiB live, 377.5MiB allocated
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New1 292261 318
Fresh8412
Picked415
Done101
Total1 305311 336
Accuracy
100.0%
Counts
1 336 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(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)))
▶39.3%
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
73.0%
(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)))))))
46.1%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
30.3%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 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) x))))
43.2%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 z z))))))
▶99.8%
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
50.7%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
38.1%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
50.6%
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
▶51.9%
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
39.3%
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
39.4%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
21.4%
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (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 (*.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))))))))
25.6%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
30.4%
(/.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)))
36.6%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
64.7%
(/.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))
▶31.9%
(/.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))) (-.f64 #s(literal 0 binary64) z)))
51.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) z) x)))
▶64.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
41.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
48.0%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64))))
50.9%
(-.f64 (/.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))) (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
36.7%
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
64.6%
(*.f64 (cos.f64 y) x)
86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
94.3%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
✓41.6%
x
Compiler

Compiled 1 306 to 759 computations (41.9% saved)

simplify302.0ms (2.7%)

Memory
-3.4MiB live, 384.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
✓cost-diff320
(/.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))) (-.f64 #s(literal 0 binary64) z))
✓cost-diff704
(/.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))) (-.f64 #s(literal 0 binary64) z)))
✓cost-diff6464
(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)))
✓cost-diff-64
(*.f64 x (cos.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓cost-diff-64
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
✓cost-diff448
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff0
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
✓cost-diff-64
(neg.f64 (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
Rules
4 858×accelerator-lowering-fma.f32
4 858×accelerator-lowering-fma.f64
3 730×*-lowering-*.f32
3 730×*-lowering-*.f64
2 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034189
179188
2210181
3559181
41289175
52749175
64535173
75654173
86999173
97729173
08038169
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (neg (sin y)) z) (* x (cos y)))
(neg (sin y))
(sin y)
y
z
(* x (cos y))
x
(cos y)
(+ (* y (- 0 z)) x)
y
(- 0 z)
0
z
x
(+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x)
(* y y)
y
(+ (* 1/24 (* x (* y y))) (* x -1/2))
1/24
(* x (* y y))
x
(* x -1/2)
-1/2
(/ 1 (/ 1 (* x (cos y))))
1
(/ 1 (* x (cos y)))
(* x (cos y))
x
(cos y)
y
(/ 1 (/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z)))
1
(/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z))
(+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y)))
x
(/ (cos y) (* z (pow (sin y) 2)))
(cos y)
y
(* z (pow (sin y) 2))
z
(pow (sin y) 2)
(sin y)
2
(/ 1 (sin y))
(- 0 z)
0
Outputs
(+ (* (neg (sin y)) z) (* x (cos y)))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))
(neg (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(sin y)
(sin.f64 y)
y
z
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
(+ (* y (- 0 z)) x)
(-.f64 x (fma.f64 y z #s(literal 0 binary64)))
y
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
x
(+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x)
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y y)
(*.f64 y y)
y
(+ (* 1/24 (* x (* y y))) (* x -1/2))
(fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
1/24
#s(literal 1/24 binary64)
(* x (* y y))
(fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x -1/2)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(/ 1 (/ 1 (* x (cos y))))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
y
(/ 1 (/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 z (fma.f64 x (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z))
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))
(+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y)))
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) #s(literal 1 binary64)) (sin.f64 y))
x
(/ (cos y) (* z (pow (sin y) 2)))
(/.f64 (cos.f64 y) (fma.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))
(cos y)
(cos.f64 y)
y
(* z (pow (sin y) 2))
(fma.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
z
(pow (sin y) 2)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin y)
(sin.f64 y)
2
#s(literal 2 binary64)
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)

localize134.0ms (1.2%)

Memory
20.8MiB live, 230.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(/.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))) (-.f64 #s(literal 0 binary64) z)))
✓accuracy97.0%
(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)))
✓accuracy96.5%
(/.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))) (-.f64 #s(literal 0 binary64) z))
✓accuracy93.6%
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
✓accuracy99.9%
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64)))
✓accuracy89.2%
(*.f64 x (*.f64 y y))
✓accuracy100.0%
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
92.0ms256×0valid
Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 23.0ms (34% of total)
ival-mult: 15.0ms (22.2% of total)
ival-sin: 9.0ms (13.3% of total)
ival-add: 5.0ms (7.4% of total)
ival-cos: 5.0ms (7.4% of total)
const: 4.0ms (5.9% of total)
ival-pow2: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.8%)

Memory
-13.0MiB live, 62.9MiB allocated
Counts
19 → 444
Calls
Call 1
Inputs
#<alt (+ (* (neg (sin y)) z) (* x (cos y)))>
#<alt (sin y)>
#<alt (cos y)>
#<alt (neg (sin y))>
#<alt (+ (* y (- 0 z)) x)>
#<alt (- 0 z)>
#<alt (+ (* 1/24 (* x (* y y))) (* x -1/2))>
#<alt (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x)>
#<alt (* y y)>
#<alt (* x -1/2)>
#<alt (/ 1 (/ 1 (* x (cos y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y)))>
#<alt (/ 1 (/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z)))>
#<alt (/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (* x (* y y))>
#<alt (* z (pow (sin y) 2))>
Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<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))) (* 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))) (* x (cos y)))>
#<alt (* x (cos y))>
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#<alt (/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ y z))) (pow y 2))>
#<alt (/ (+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2))>
#<alt (/ (+ (* -1 (/ x (pow z 2))) (* y (- (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* -1/6 (/ y z)))) (/ 1 z)))) (pow y 2))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))))>
#<alt (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))>
#<alt (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))>
#<alt (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (/ 1 (* (pow y 2) z))>
#<alt (/ (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) (pow y 2))>
#<alt (/ (+ (* (pow y 2) (- (* -7/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) (pow y 2))>
#<alt (/ (+ (* (pow y 2) (- (* (pow y 2) (- (* -31/3024 (/ (pow y 2) z)) (* 7/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) (pow y 2))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (/ (cos y) (* z (pow (sin y) 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<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 (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
Calls

111 calls:

TimeVariablePointExpression
20.0ms
z
@inf
(/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z))
19.0ms
y
@0
(+ (* 1/24 (* x (* y y))) (* x -1/2))
6.0ms
x
@-inf
(+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x)
2.0ms
x
@0
(/ 1 (/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z)))
1.0ms
y
@inf
(+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y)))

rewrite564.0ms (5.1%)

Memory
19.2MiB live, 1 026.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 680×accelerator-lowering-fma.f32
6 680×accelerator-lowering-fma.f64
4 572×/-lowering-/.f32
4 572×/-lowering-/.f64
4 510×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034149
1195146
21661146
08469139
Stop Event
1×iter limit
1×node limit
Counts
19 → 730
Calls
Call 1
Inputs
(+ (* (neg (sin y)) z) (* x (cos y)))
(sin y)
(cos y)
(neg (sin y))
(+ (* y (- 0 z)) x)
(- 0 z)
(+ (* 1/24 (* x (* y y))) (* x -1/2))
(+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x)
(* y y)
(* x -1/2)
(/ 1 (/ 1 (* x (cos y))))
(/ 1 (* x (cos y)))
(* x (cos y))
(+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y)))
(/ 1 (/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z)))
(/ (+ (* x (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) (- 0 z))
(/ (cos y) (* z (pow (sin y) 2)))
(* x (* y y))
(* z (pow (sin y) 2))
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 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 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))))
(-.f64 (/.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)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (*.f64 x (cos.f64 y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 x (/.f64 (cos.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (cos.f64 y) (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 y) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))))) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (sin.f64 y)))))
(*.f64 (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (cos.f64 y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (cos.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(neg.f64 (/.f64 (cos.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (cos.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (cos.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (/.f64 (cos.f64 y) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (/.f64 (cos.f64 y) z)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (/.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)
(/.f64 (*.f64 (cos.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 (/.f64 (cos.f64 y) z) (sin.f64 y)) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)))) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 y) z))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (/.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (cos.f64 y))) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (cos.f64 y) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (cos.f64 y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (/.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)))
(*.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y x) y)
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z))
(*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)
(*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))

simplify524.0ms (4.8%)

Memory
2.5MiB live, 929.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 594×accelerator-lowering-fma.f32
8 594×accelerator-lowering-fma.f64
6 818×*-lowering-*.f32
6 818×*-lowering-*.f64
2 390×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04844766
115854570
253834523
084154364
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos 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))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/24 (* x (pow y 2))))
(+ (* -1/2 x) (* 1/24 (* x (pow y 2))))
(+ (* -1/2 x) (* 1/24 (* x (pow y 2))))
(* 1/24 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* 1/24 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
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) (* 1/24 (* x (pow y 2))))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 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))
(* 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 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (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 (sin y))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(/ (* x (cos y)) (* z (pow (sin y) 2)))
(* x (+ (/ 1 (* x (sin y))) (/ (cos y) (* z (pow (sin y) 2)))))
(* x (+ (/ 1 (* x (sin y))) (/ (cos y) (* z (pow (sin y) 2)))))
(* x (+ (/ 1 (* x (sin y))) (/ (cos y) (* z (pow (sin y) 2)))))
(/ (* x (cos y)) (* z (pow (sin y) 2)))
(* -1 (* x (- (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y))))))
(* -1 (* x (- (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y))))))
(* -1 (* x (- (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y))))))
(/ x (* (pow y 2) z))
(/ (+ y (/ x z)) (pow y 2))
(/ (+ (* y (+ 1 (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))))) (/ x z)) (pow y 2))
(/ (+ (* y (+ 1 (* y (- (+ (* -1/2 (/ x z)) (* 1/6 y)) (* -1/3 (/ x z)))))) (/ x z)) (pow y 2))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(/ (* x (cos y)) (* z (pow (sin y) 2)))
(/ (+ (/ z (sin y)) (/ (* x (cos y)) (pow (sin y) 2))) z)
(/ (+ (/ z (sin y)) (/ (* x (cos y)) (pow (sin y) 2))) z)
(/ (+ (/ z (sin y)) (/ (* x (cos y)) (pow (sin y) 2))) z)
(/ 1 (sin y))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(/ 1 (sin y))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (+ (cos y) (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))))))
(+ (* -1 (* z (sin y))) (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))))))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (+ (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) x)
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (/ (* y (pow z 3)) (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (/ (* (pow z 3) (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) (pow x 2)))) (/ (pow z 3) (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (/ (* (pow z 3) (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) (pow x 2)))) x)) (+ (* -1 (/ (* (pow z 4) (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) (pow x 3))) (* 1/6 (/ (pow z 3) (pow x 2)))))) (/ (* (pow z 3) (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) (pow x 2))))) (/ (pow z 3) (pow x 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* z (+ (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))) (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1 (/ (* x (cos y)) z)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))))
(* x (- (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y))))))
(* x (- (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y))))))
(* x (- (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y))))))
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))))
(* -1 (* x (+ (/ 1 (* x (* z (sin y)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))))
(* -1 (* x (+ (/ 1 (* x (* z (sin y)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))))
(* -1 (* x (+ (/ 1 (* x (* z (sin y)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))))
(* -1 (/ x (* (pow y 2) (pow z 2))))
(/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ y z))) (pow y 2))
(/ (+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2))
(/ (+ (* -1 (/ x (pow z 2))) (* y (- (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* -1/6 (/ y z)))) (/ 1 z)))) (pow y 2))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))))
(/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))
(/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))
(/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(/ 1 (* (pow y 2) z))
(/ (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) (pow y 2))
(/ (+ (* (pow y 2) (- (* -7/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) (pow y 2))
(/ (+ (* (pow y 2) (- (* (pow y 2) (- (* -31/3024 (/ (pow y 2) z)) (* 7/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) (pow y 2))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(/ (cos y) (* z (pow (sin y) 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* (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 (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 #s(literal 1/6 binary64) z))) (-.f64 #s(literal 0 binary64) z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.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 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.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 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1 y)
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(*.f64 y (*.f64 y z))
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
(*.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) z)))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) z))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)))) (*.f64 z #s(literal -1/3 binary64))) z))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))

eval295.0ms (2.7%)

Memory
25.5MiB live, 431.8MiB allocated
Compiler

Compiled 34 609 to 3 096 computations (91.1% saved)

prune308.0ms (2.8%)

Memory
-7.6MiB live, 442.3MiB allocated
Pruning

45 alts after pruning (43 fresh and 2 done)

PrunedKeptTotal
New1 358301 388
Fresh121325
Picked415
Done011
Total1 374451 419
Accuracy
100.0%
Counts
1 419 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x)
39.3%
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
39.4%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
48.3%
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z (*.f64 x (cos.f64 y)))
99.7%
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
▶99.8%
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
50.7%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
38.1%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
42.3%
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
22.4%
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
51.9%
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x)
50.6%
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
51.9%
(fma.f64 y (neg.f64 z) x)
25.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) z))
9.3%
(/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (fma.f64 z z #s(literal 0 binary64)))))
25.6%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
64.5%
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
36.6%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
22.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
8.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
9.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
3.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) z)))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z)))
64.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
▶5.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
20.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
3.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 y (*.f64 z z)))))
39.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
▶64.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
41.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
48.0%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64))))
50.9%
(-.f64 (/.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))) (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
▶3.0%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
36.7%
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶14.0%
(-.f64 #s(literal 0 binary64) (*.f64 y z))
39.3%
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
64.6%
(*.f64 (cos.f64 y) x)
86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
51.0%
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
94.2%
(*.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
94.3%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
3.1%
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
✓41.6%
x
Compiler

Compiled 1 504 to 951 computations (36.8% saved)

simplify355.0ms (3.2%)

Memory
-51.9MiB live, 520.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))))
✓cost-diff1024
(/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z)))
✓cost-diff192
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z))
✓cost-diff320
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
✓cost-diff-64
(*.f64 y (*.f64 z z))
✓cost-diff-64
(*.f64 y (*.f64 y (*.f64 z z)))
✓cost-diff0
(/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
✓cost-diff-64
(*.f64 y z)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y z))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
Rules
12 698×accelerator-lowering-fma.f32
12 698×accelerator-lowering-fma.f64
2 698×*-lowering-*.f32
2 698×*-lowering-*.f64
1 354×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
029169
177162
2190160
3465160
41426158
53306157
64813157
75991157
86082157
96116157
106184157
116840157
127898157
08119157
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (cos y) x) (- 0 (* (sin y) z)))
(cos y)
y
x
(- 0 (* (sin y) z))
0
(* (sin y) z)
(sin y)
z
(- 0 (* y z))
0
(* y z)
y
z
(- 0 (/ (* y (* y (* z z))) x))
0
(/ (* y (* y (* z z))) x)
(* y (* y (* z z)))
y
(* y (* z z))
(* z z)
z
x
(/ 1 (/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y)))
1
(/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y))
(- (- 0 (/ x (* z z))) (/ y z))
(- 0 (/ x (* z z)))
0
(/ x (* z z))
x
(* z z)
z
(/ y z)
y
(* y y)
(/ 1 (/ 1 (/ x (/ 1 (cos y)))))
1
(/ 1 (/ x (/ 1 (cos y))))
(/ x (/ 1 (cos y)))
x
(/ 1 (cos y))
(cos y)
y
Outputs
(+ (* (cos y) x) (- 0 (* (sin y) z)))
(-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))
(cos y)
(cos.f64 y)
y
x
(- 0 (* (sin y) z))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (sin y) z)
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
(sin y)
(sin.f64 y)
z
(- 0 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
y
z
(- 0 (/ (* y (* y (* z z))) x))
(fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z (/.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ (* y (* y (* z z))) x)
(fma.f64 y (fma.f64 z (fma.f64 z (/.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (* y (* z z)))
(fma.f64 z (fma.f64 z (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
y
(* y (* z z))
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
x
(/ 1 (/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y)))
(/.f64 y (fma.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y z #s(literal 0 binary64)))) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y z #s(literal 0 binary64)))) #s(literal 0 binary64))
(- (- 0 (/ x (* z z))) (/ y z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 y (/.f64 x z)) #s(literal 0 binary64))
(- 0 (/ x (* z z)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 z z #s(literal 0 binary64))))
0
#s(literal 0 binary64)
(/ x (* z z))
(/.f64 x (fma.f64 z z #s(literal 0 binary64)))
x
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
(/ y z)
(/.f64 y z)
y
(* y y)
(fma.f64 y y #s(literal 0 binary64))
(/ 1 (/ 1 (/ x (/ 1 (cos y)))))
(fma.f64 (cos.f64 y) x #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (/ x (/ 1 (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(/ x (/ 1 (cos y)))
(fma.f64 (cos.f64 y) x #s(literal 0 binary64))
x
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(cos y)
(cos.f64 y)
y

localize135.0ms (1.2%)

Memory
16.5MiB live, 171.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 y))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
✓accuracy96.8%
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z))
✓accuracy89.5%
(/.f64 x (*.f64 z z))
✓accuracy69.9%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y))
✓accuracy100.0%
(*.f64 z z)
✓accuracy95.2%
(*.f64 y (*.f64 y (*.f64 z z)))
✓accuracy92.8%
(/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x)
✓accuracy88.5%
(*.f64 y (*.f64 z z))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 y z))
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
✓accuracy99.8%
(*.f64 (sin.f64 y) z)
Samples
99.0ms256×0valid
Compiler

Compiled 182 to 31 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 40.0ms (50.9% of total)
ival-mult: 20.0ms (25.4% of total)
ival-sin: 6.0ms (7.6% of total)
ival-cos: 6.0ms (7.6% of total)
ival-sub: 5.0ms (6.4% of total)
ival-add: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
13.4MiB live, 52.5MiB allocated
Counts
21 → 528
Calls
Call 1
Inputs
#<alt (+ (* (cos y) x) (- 0 (* (sin y) z)))>
#<alt (cos y)>
#<alt (- 0 (* (sin y) z))>
#<alt (sin y)>
#<alt (- 0 (* y z))>
#<alt (* y z)>
#<alt (- 0 (/ (* y (* y (* z z))) x))>
#<alt (/ (* y (* y (* z z))) x)>
#<alt (* y (* y (* z z)))>
#<alt (* y (* z z))>
#<alt (/ 1 (/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y)))>
#<alt (/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y))>
#<alt (- (- 0 (/ x (* z z))) (/ y z))>
#<alt (- 0 (/ x (* z z)))>
#<alt (/ 1 (/ 1 (/ x (/ 1 (cos y)))))>
#<alt (/ x (/ 1 (cos y)))>
#<alt (/ 1 (/ x (/ 1 (cos y))))>
#<alt (/ 1 (cos y))>
#<alt (* (sin y) z)>
#<alt (* z z)>
#<alt (/ x (* z z))>
Outputs
#<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 (* -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 (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)))))>
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#<alt (/ 1 (* x (cos y)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (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 (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
Calls

132 calls:

TimeVariablePointExpression
14.0ms
y
@-inf
(/ 1 (cos y))
5.0ms
y
@inf
(/ 1 (/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y)))
1.0ms
x
@0
(/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y))
1.0ms
z
@0
(- 0 (/ (* y (* y (* z z))) x))
1.0ms
x
@0
(- 0 (/ (* y (* y (* z z))) x))

rewrite563.0ms (5.1%)

Memory
15.1MiB live, 998.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 204×accelerator-lowering-fma.f32
7 204×accelerator-lowering-fma.f64
4 816×/-lowering-/.f32
4 816×/-lowering-/.f64
4 190×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029139
1204124
22037118
08549118
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 582
Calls
Call 1
Inputs
(+ (* (cos y) x) (- 0 (* (sin y) z)))
(cos y)
(- 0 (* (sin y) z))
(sin y)
(- 0 (* y z))
(* y z)
(- 0 (/ (* y (* y (* z z))) x))
(/ (* y (* y (* z z))) x)
(* y (* y (* z z)))
(* y (* z z))
(/ 1 (/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y)))
(/ (- (- 0 (/ x (* z z))) (/ y z)) (* y y))
(- (- 0 (/ x (* z z))) (/ y z))
(- 0 (/ x (* z z)))
(/ 1 (/ 1 (/ x (/ 1 (cos y)))))
(/ x (/ 1 (cos y)))
(/ 1 (/ x (/ 1 (cos y))))
(/ 1 (cos y))
(* (sin y) z)
(* z z)
(/ x (* z z))
Outputs
(+.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 (cos.f64 y) x #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (cos.f64 y) x (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) x (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))))) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))))))
(-.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))))
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) x #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (pow.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) #s(literal 3 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 #s(literal 2 binary64) y)))) #s(literal 0 binary64))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (pow.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 y)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (sin.f64 y)) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (*.f64 z (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) z) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (*.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (sin.f64 y)) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (*.f64 z (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) z) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (*.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (*.f64 z z)) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))) (*.f64 z z)) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)) (*.f64 z z)) (/.f64 (fma.f64 (sin.f64 y) z #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (cos.f64 y) x #s(literal 0 binary64)))
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(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) x) #s(literal 0 binary64))
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(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 x (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 x z)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (/.f64 x z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)))
(/.f64 (/.f64 x z) z)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 z z))))) (/.f64 x (*.f64 z z)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
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(pow.f64 (/.f64 (*.f64 z z) x) #s(literal -1 binary64))
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(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) (/.f64 x (*.f64 z z))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))
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(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) x) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) x))
(*.f64 (/.f64 x x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) x))
(*.f64 (/.f64 x (/.f64 x z)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (/.f64 x z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 x (*.f64 z z)) x) (/.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (/.f64 x (*.f64 z z)) x))
(*.f64 (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 x (*.f64 z z)) (/.f64 x (*.f64 z z))))
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(*.f64 (/.f64 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 x (*.f64 z z))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x))
(*.f64 (/.f64 (*.f64 x x) (/.f64 x z)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 z z))))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (/.f64 x z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))

simplify422.0ms (3.8%)

Memory
-11.7MiB live, 820.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 632×accelerator-lowering-fma.f32
8 632×accelerator-lowering-fma.f64
5 822×*-lowering-*.f32
5 822×*-lowering-*.f64
2 626×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04154270
113304115
241544047
081603991
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
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)))
(* -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 (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)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
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(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
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(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
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(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
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(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
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(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
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(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
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(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
(/ (* (pow y 2) (pow z 2)) x)
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(* y (pow z 2))
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(+ x (* -1 (* y z)))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 (/ x (* y z))))))
(+ (* -1 (* y z)) (* x (+ 1 (* x (- (/ x (* (pow y 2) (pow z 2))) (/ 1 (* y z)))))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(/ (+ (* -1 (* (pow y 2) (pow z 2))) (/ (* (pow y 3) (pow z 3)) x)) x)
(/ (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* -1 (/ (* (pow y 4) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 3)) x))) x)
(/ (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* -1 (/ (* (pow y 4) (pow z 4)) (pow x 2))) (+ (/ (* (pow y 3) (pow z 3)) x) (/ (* (pow y 5) (pow z 5)) (pow x 3))))) x)
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* -1 (/ (+ (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 4) (pow z 4)) x)) (* -1 (* (pow y 3) (pow z 3)))) x)) (* (pow y 2) (pow z 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 5) (pow z 5)) x)) (* -1 (* (pow y 4) (pow z 4)))) x)) (* -1 (* (pow y 3) (pow z 3)))) x)) (* (pow y 2) (pow z 2))) x))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (/ (* (pow y 3) z) (pow x 2))))
(* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (* z (+ (* -1 (/ (* (pow y 4) z) (pow x 3))) (/ (pow y 3) (pow x 2))))))
(* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (* z (+ (* z (+ (* -1 (/ (pow y 4) (pow x 3))) (/ (* (pow y 5) z) (pow x 4)))) (/ (pow y 3) (pow x 2))))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ x z))))
(* z (+ (* -1 y) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (+ (/ x z) (/ (pow x 3) (* (pow y 2) (pow z 3)))))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (/ (pow x 2) (* y z)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) (* (pow y 2) z))) (/ (pow x 2) y)) z))) z)))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (/ (* y (pow z 3)) (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 3) (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (/ (* y (pow z 5)) (pow x 4)))) (/ (pow z 3) (pow x 2))))))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
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(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (pow x 2) (* y z))) (* -1 x)) y)))))
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 2)))) (* -1 (/ (pow x 2) z))) y)) (* -1 x)) y)))))
(/ -1 (* y z))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(* -1 (/ x (* (pow y 2) (pow z 2))))
(* -1 (* x (+ (/ 1 (* x (* y z))) (/ 1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ (/ 1 (* x (* y z))) (/ 1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ (/ 1 (* x (* y z))) (/ 1 (* (pow y 2) (pow z 2))))))
(* -1 (/ x (* (pow y 2) (pow z 2))))
(* -1 (* x (+ (/ 1 (* x (* y z))) (/ 1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ (/ 1 (* x (* y z))) (/ 1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ (/ 1 (* x (* y z))) (/ 1 (* (pow y 2) (pow z 2))))))
(* -1 (/ x (* (pow y 2) (pow z 2))))
(/ (+ (* -1 (/ x (pow y 2))) (* -1 (/ z y))) (pow z 2))
(/ (+ (* -1 (/ x (pow y 2))) (* -1 (/ z y))) (pow z 2))
(/ (+ (* -1 (/ x (pow y 2))) (* -1 (/ z y))) (pow z 2))
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(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))
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(/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ y z))) (pow y 2))
(/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ y z))) (pow y 2))
(/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ y z))) (pow y 2))
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(/ (- (* -1 (* y z)) x) (pow z 2))
(/ (- (* -1 (* y z)) x) (pow z 2))
(/ (- (* -1 (* y z)) x) (pow z 2))
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(/ (- (* -1 (/ x z)) y) z)
(/ (- (* -1 (/ x z)) y) z)
(/ (- (* -1 (/ x z)) y) z)
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(* -1 (* y (+ (/ 1 z) (/ x (* y (pow z 2))))))
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(* 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))
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(* x (cos y))
(* x (cos y))
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(* x (cos y))
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(* x (cos y))
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(* x (cos y))
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x
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(* 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 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(* y z)
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(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
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(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(pow z 2)
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(pow z 2)
(pow z 2)
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(pow z 2)
(pow z 2)
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(pow z 2)
(pow z 2)
(/ x (pow z 2))
(/ x (pow z 2))
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(/ x (pow z 2))
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(/ x (pow z 2))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) y)) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(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)
(- (* 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)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.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 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
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(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
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(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
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(-.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)))
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(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.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 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
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(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
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(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
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(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x #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 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 61/720 binary64) #s(literal 5/24 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.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) (+ 1/2 (* 5/24 (pow y 2)))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 61/720 binary64) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* 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))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))

eval280.0ms (2.5%)

Memory
23.5MiB live, 658.4MiB allocated
Compiler

Compiled 50 980 to 5 155 computations (89.9% saved)

prune422.0ms (3.8%)

Memory
-21.5MiB live, 636.9MiB allocated
Pruning

54 alts after pruning (50 fresh and 4 done)

PrunedKeptTotal
New2 144202 164
Fresh83038
Picked325
Done022
Total2 155542 209
Accuracy
100.0%
Counts
2 209 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x)
39.3%
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
39.4%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
48.3%
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z (*.f64 x (cos.f64 y)))
99.7%
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
38.1%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
42.3%
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
22.4%
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
50.6%
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
50.7%
(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)
39.3%
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)
51.9%
(fma.f64 y (neg.f64 z) x)
25.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) z))
9.3%
(/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (fma.f64 z z #s(literal 0 binary64)))))
25.6%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
64.5%
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
64.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))
36.6%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
5.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z))) (*.f64 y y)))
22.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
8.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z)))
6.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (/.f64 y z)) (*.f64 y y)))
20.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
39.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
41.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
14.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
48.0%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64))))
7.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z) y) (/.f64 #s(literal 1 binary64) y)))
50.9%
(-.f64 (/.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))) (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
9.6%
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))
14.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) z) (/.f64 (fma.f64 y z #s(literal 0 binary64)) y)))
4.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 y z #s(literal 0 binary64)))))
3.5%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))))
7.6%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))))
2.5%
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) x)))
36.7%
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓14.0%
(-.f64 #s(literal 0 binary64) (*.f64 y z))
39.3%
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
6.7%
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) z) (/.f64 y y))
9.2%
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) y))
7.6%
(*.f64 (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))
64.6%
(*.f64 (cos.f64 y) x)
86.5%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
7.5%
(*.f64 y (/.f64 y (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z)))
2.9%
(*.f64 y (neg.f64 (*.f64 y (/.f64 (*.f64 z z) x))))
51.0%
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
90.8%
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
94.2%
(*.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
3.1%
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
✓41.6%
x
Compiler

Compiled 2 570 to 946 computations (63.2% saved)

regimes161.0ms (1.5%)

Memory
-14.8MiB live, 105.0MiB allocated
Counts
94 → 1
Calls
Call 1
Inputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)
(*.f64 y (neg.f64 (*.f64 y (/.f64 (*.f64 z z) x))))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x)
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) z) (/.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) z) (/.f64 (fma.f64 y z #s(literal 0 binary64)) y)))
(*.f64 y (/.f64 y (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
(*.f64 (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z) y) (/.f64 #s(literal 1 binary64) y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (/.f64 y z)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) 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 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (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)))))) (-.f64 #s(literal 0 binary64) (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 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z (*.f64 x (cos.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)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (fma.f64 z z #s(literal 0 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))) (-.f64 #s(literal 0 binary64) 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))))
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 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) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) #s(literal -1/2 binary64))))
(-.f64 (/.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))) (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (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)))))))
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 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 x (cos.f64 y))) (/.f64 (cos.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (fma.f64 x (cos.f64 y) #s(literal 0 binary64))) (*.f64 z z))))))
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (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 (*.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 (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)))))))
(*.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))))))
Outputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

49.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
40.0ms
y
24.0ms
z
24.0ms
x
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)

regimes87.0ms (0.8%)

Memory
30.5MiB live, 68.8MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)
(*.f64 y (neg.f64 (*.f64 y (/.f64 (*.f64 z z) x))))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x)
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) z) (/.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) z) (/.f64 (fma.f64 y z #s(literal 0 binary64)) y)))
(*.f64 y (/.f64 y (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
(*.f64 (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (/.f64 y z)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) 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 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (*.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:

31.0ms
z
17.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
x
17.0ms
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)

regimes120.0ms (1.1%)

Memory
1.7MiB live, 39.8MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)
(*.f64 y (neg.f64 (*.f64 y (/.f64 (*.f64 z z) x))))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x)
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) z) (/.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) z) (/.f64 (fma.f64 y z #s(literal 0 binary64)) y)))
(*.f64 y (/.f64 y (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
(*.f64 (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (/.f64 y z)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) 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 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
Outputs
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

4 calls:

66.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
z
17.0ms
x
17.0ms
y
Results
AccuracySegmentsBranch
89.3%3x
82.1%4y
84.4%3z
80.6%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes144.0ms (1.3%)

Memory
-25.8MiB live, 56.9MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)
(*.f64 y (neg.f64 (*.f64 y (/.f64 (*.f64 z z) x))))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x)
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) z) (/.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) z) (/.f64 (fma.f64 y z #s(literal 0 binary64)) y)))
(*.f64 y (/.f64 y (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
(*.f64 (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (/.f64 y z)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) 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 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
Outputs
(*.f64 (cos.f64 y) x)
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

4 calls:

68.0ms
y
44.0ms
x
15.0ms
z
15.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
78.7%4y
64.6%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
78.0%3z
80.0%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes100.0ms (0.9%)

Memory
16.3MiB live, 53.3MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)
(*.f64 y (neg.f64 (*.f64 y (/.f64 (*.f64 z z) x))))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x)
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) z) (/.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) z) (/.f64 (fma.f64 y z #s(literal 0 binary64)) y)))
(*.f64 y (/.f64 y (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
(*.f64 (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (/.f64 y z)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) 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 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))))
(*.f64 (cos.f64 y) x)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
Outputs
(*.f64 (cos.f64 y) 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)
(*.f64 (cos.f64 y) x)
Calls

3 calls:

68.0ms
z
14.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
76.0%3y
71.7%3z
70.7%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes160.0ms (1.5%)

Memory
-13.1MiB live, 67.8MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 y (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) z) x)
(fma.f64 y (-.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) x)
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)
(*.f64 y (neg.f64 (*.f64 y (/.f64 (*.f64 z z) x))))
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x)
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) x))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) z) (/.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) z) (/.f64 (fma.f64 y z #s(literal 0 binary64)) y)))
(*.f64 y (/.f64 y (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))) (/.f64 y z)) (*.f64 y y)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (-.f64 #s(literal 0 binary64) z)) x)
(*.f64 (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 x z)) y) z) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z z))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (/.f64 y z)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))) 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 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))))))
Outputs
(fma.f64 y (neg.f64 z) x)
Calls

4 calls:

75.0ms
y
56.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
x
13.0ms
z
Results
AccuracySegmentsBranch
51.9%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.9%1x
51.9%1z
51.9%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
Outputs
x
(-.f64 #s(literal 0 binary64) (*.f64 y z))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
44.9%3x
45.1%2z
41.6%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
41.6%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
41.6%1y
41.6%1x
41.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.4%)

Memory
-13.9MiB live, 25.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.119092841349457e+111
2.9009230192981786e+113
12.0ms
-1.3365753841016024e+105
-2.715591888979792e+104
Samples
19.0ms224×0valid
Compiler

Compiled 267 to 196 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (36.9% of total)
ival-sin: 5.0ms (36.9% of total)
ival-mult: 3.0ms (22.1% of total)
ival-sub: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.67999847992547e-78
4.1994340843520454e-76
10.0ms
-2.538572837882947e-48
-1.0907309802557501e-48
Samples
17.0ms192×0valid
Compiler

Compiled 231 to 182 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (40.3% of total)
ival-sin: 4.0ms (32.2% of total)
ival-mult: 2.0ms (16.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory
-7.3MiB live, 32.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.0503979992940677e-6
35553785.802829176
38.0ms
-5.462509468552994
-5.516053407982772e-14
Samples
43.0ms320×0valid
Compiler

Compiled 555 to 374 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sub: 24.0ms (68.6% of total)
ival-cos: 4.0ms (11.4% of total)
ival-mult: 4.0ms (11.4% of total)
ival-sin: 3.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-16.6MiB live, 22.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
5.435877198539996e+131
5.557305739448833e+140
Samples
23.0ms144×0valid
Compiler

Compiled 141 to 113 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 13.0ms (67.8% of total)
ival-cos: 3.0ms (15.6% of total)
ival-mult: 2.0ms (10.4% of total)
ival-sub: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
16×+-commutative_binary64
16×sub-neg_binary64
16×cancel-sign-sub-inv_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04798
18798
211098
311698
411798
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -275000000000000008483982431133620176945503630347061244674319379272392793203520538179891892105283597500416 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 x #s(literal 1119999999999999946298177768836558443426162749105503389104082455605996595668040847176866768209522825632713539584 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -7240220052213307/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 x #s(literal 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -3458764513820541/144115188075855872 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 7493989779944505/288230376151711744 binary64)) (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) (*.f64 (cos.f64 y) x)))
(fma.f64 y (neg.f64 z) x)
(if (<=.f64 z #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) x (-.f64 #s(literal 0 binary64) (*.f64 y z)))
x
Outputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -275000000000000008483982431133620176945503630347061244674319379272392793203520538179891892105283597500416 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 x #s(literal 1119999999999999946298177768836558443426162749105503389104082455605996595668040847176866768209522825632713539584 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -275000000000000008483982431133620176945503630347061244674319379272392793203520538179891892105283597500416 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 1119999999999999946298177768836558443426162749105503389104082455605996595668040847176866768209522825632713539584 binary64)) (-.f64 x (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7240220052213307/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 x #s(literal 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -7240220052213307/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -3458764513820541/144115188075855872 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 7493989779944505/288230376151711744 binary64)) (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) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -3458764513820541/144115188075855872 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7493989779944505/288230376151711744 binary64)) (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) (*.f64 x (cos.f64 y))))
(fma.f64 y (neg.f64 z) x)
(fma.f64 y (-.f64 #s(literal 0 binary64) z) x)
(if (<=.f64 z #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) x (-.f64 #s(literal 0 binary64) (*.f64 y z)))
x

soundness1.0s (9.5%)

Memory
21.1MiB live, 883.7MiB allocated
Rules
12 936×accelerator-lowering-fma.f32
12 936×accelerator-lowering-fma.f64
10 986×accelerator-lowering-fma.f32
10 986×accelerator-lowering-fma.f64
8 632×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12821
220521
3198121
0836621
09558640
132948417
082108204
034149
1195146
21661146
08469139
030136
1187116
01723113
0112686
1339681
2929669
32675663
44616663
57378663
08249636
04844766
115854570
253834523
084154364
04154270
113304115
241544047
081603991
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 339 to 202 computations (40.4% saved)

preprocess106.0ms (1%)

Memory
-42.1MiB live, 262.2MiB allocated
Compiler

Compiled 252 to 108 computations (57.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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