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

Time bar (total: 11.7s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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 (11.2%)

Memory
-23.1MiB live, 1 708.8MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 812.0ms
ival-sin: 343.0ms (42.2% of total)
ival-cos: 312.0ms (38.4% of total)
ival-mult: 111.0ms (13.7% of total)
ival-sub: 36.0ms (4.4% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess53.0ms (0.5%)

Memory
-11.0MiB live, 67.6MiB allocated
Algorithm
1×egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
178×distribute-lft-neg-in
166×associate-*r*
148×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
19084
216984
337584
466584
587284
6105284
7110584
8111384
9111784
089
0139
1209
2329
3449
4659
5959
61539
72239
82829
93119
103279
03279
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

explain136.0ms (1.2%)

Memory
25.6MiB live, 255.0MiB 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
81.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 34.0ms (53.5% of total)
ival-cos: 14.0ms (22% of total)
ival-sin: 11.0ms (17.3% of total)
ival-sub: 4.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB 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)

simplify43.0ms (0.4%)

Memory
-23.4MiB live, 32.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12024
23224
34424
46524
59524
615324
722324
828224
931124
1032724
032724
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize68.0ms (0.6%)

Memory
23.0MiB live, 61.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
60.0ms256×0valid
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 (37.8% of total)
ival-sin: 5.0ms (31.5% 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)

series21.0ms (0.2%)

Memory
-23.8MiB live, 14.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

24 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(- (* x (cos y)) (* z (sin y)))
1.0ms
z
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
x
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@-inf
(- (* x (cos y)) (* z (sin y)))
0.0ms
y
@inf
(- (* x (cos y)) (* z (sin y)))

rewrite644.0ms (5.5%)

Memory
37.2MiB live, 786.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 986×lower-fma.f64
10 986×lower-fma.f32
4 356×lower-*.f32
4 352×lower-*.f64
3 866×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13319
221019
3196419
0837919
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 231
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.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))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.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))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.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))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

simplify421.0ms (3.6%)

Memory
-5.4MiB live, 515.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
4 682×lower-*.f64
4 682×lower-*.f32
1 796×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097624
1292619
2837613
32075607
43601607
56258607
08452586
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y x) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

eval42.0ms (0.4%)

Memory
-14.4MiB live, 99.7MiB allocated
Compiler

Compiled 15 422 to 728 computations (95.3% saved)

prune50.0ms (0.4%)

Memory
13.3MiB live, 134.4MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New31015325
Fresh000
Picked101
Done000
Total31115326
Accuracy
99.9%
Counts
326 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(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)))))))
▶45.3%
(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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
51.1%
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
45.7%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
18.9%
(/.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))))))))
25.1%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
42.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (-.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 (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)))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
77.3%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
51.0%
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
▶51.8%
(-.f64 x (*.f64 z y))
56.4%
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶58.4%
(*.f64 x (cos.f64 y))
42.7%
(neg.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 970 to 430 computations (55.7% saved)

simplify226.0ms (1.9%)

Memory
9.7MiB live, 279.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x (cos.f64 y)))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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-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
(*.f64 x (cos.f64 y))
✓cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(*.f64 z y)
✓cost-diff0
(-.f64 x (*.f64 z y))
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
Rules
5 940×lower-fma.f32
5 934×lower-fma.f64
2 930×lower-*.f32
2 916×lower-*.f64
1 440×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028250
053246
1104246
2210244
3535244
41457244
53544244
66151238
77494238
08051233
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(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)))))))
(*.f64 x (*.f64 x (cos.f64 y)))
x
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
(/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (-.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 z z)
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (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))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
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)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 x (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y))) (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))))
(*.f64 x (*.f64 x (cos.f64 y)))
x
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
(/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(*.f64 z z)

localize241.0ms (2.1%)

Memory
-14.2MiB live, 320.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy86.3%
(*.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)))))
✓accuracy76.7%
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓accuracy76.5%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy73.1%
(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 (-.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))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy99.6%
(/.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%
(*.f64 x (cos.f64 y))
✓accuracy100.0%
(-.f64 x (*.f64 z y))
✓accuracy100.0%
(*.f64 z y)
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
78.0ms135×0valid
55.0ms72×1valid
54.0ms49×2valid
Compiler

Compiled 261 to 32 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-div: 44.0ms (31.9% of total)
ival-cos: 32.0ms (23.2% of total)
ival-mult: 23.0ms (16.7% of total)
ival-sin: 15.0ms (10.9% of total)
adjust: 9.0ms (6.5% of total)
ival-add: 6.0ms (4.3% of total)
ival-sub: 5.0ms (3.6% of total)
ival-neg: 3.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
9.3MiB live, 122.7MiB allocated
Counts
17 → 468
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (neg.f64 z)>
#<alt (*.f64 x (cos.f64 y))>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (cos.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (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)))))))>
#<alt (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))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (*.f64 x (*.f64 x (cos.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))>
#<alt (*.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)))))>
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 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 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<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 (* y z))>
#<alt (- x (* y z))>
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#<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

117 calls:

TimeVariablePointExpression
6.0ms
z
@0
(* z y)
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)))))))
3.0ms
z
@0
(+ (* (* 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
z
@inf
(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
2.0ms
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)))))))

rewrite1.0s (8.7%)

Memory
-126.5MiB live, 1 559.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 530×lower-fma.f32
4 524×lower-fma.f64
4 268×lower-*.f32
4 254×lower-*.f64
4 252×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028173
053138
1205122
21555122
08243122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 2 508
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
(neg.f64 z)
(*.f64 x (cos.f64 y))
(-.f64 x (*.f64 z y))
(*.f64 z y)
(cos.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.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)))))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 x (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 z z) (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)))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (neg.f64 z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(+.f64 (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (neg.f64 z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) z))))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) z))) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (neg.f64 z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 0 binary64)) (*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (neg.f64 z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z))))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
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(*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) z) (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))

simplify492.0ms (4.2%)

Memory
14.8MiB live, 523.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 062×lower-fma.f64
7 062×lower-fma.f32
6 352×lower-*.f64
6 352×lower-*.f32
4 008×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09758952
133718731
081238524
Stop Event
1×iter limit
1×node limit
Counts
468 → 458
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 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
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(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
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x
(+ x (* -1 (* y z)))
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(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
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(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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x
(+ x (* -1 (* y z)))
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(- (* x (cos y)) (* z (sin y)))
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(* x (cos y))
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(/ -1 (* z (sin y)))
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(/ 1 (* x (cos y)))
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(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
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(+ (* 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))
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(/ 1 (* x (cos y)))
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(/ (- (* -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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(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
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(* -1 (* z (sin y)))
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(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
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(- (* x (cos y)) (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
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(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x)) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x)))))
x
(+ x (* -1 (* y z)))
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(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* x (cos y)) (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y))))))) (sin y))))
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(* 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)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 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))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* 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)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)) (neg.f64 z))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos 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 (-.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)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (*.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))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* 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 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.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 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 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 (* y z))
(*.f64 y (neg.f64 z))
(- x (* y z))
(-.f64 x (*.f64 y z))
(- x (* y z))
(-.f64 x (*.f64 y z))
(- x (* y z))
(-.f64 x (*.f64 y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 (+.f64 (/.f64 x (neg.f64 z)) y) (neg.f64 z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 (+.f64 (/.f64 x (neg.f64 z)) y) (neg.f64 z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 (+.f64 (/.f64 x (neg.f64 z)) y) (neg.f64 z))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 x (neg.f64 y)) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 x (neg.f64 y)) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 x (neg.f64 y)) z))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
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)
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 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)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 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 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
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(*.f64 (*.f64 z z) (fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y)))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(/.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))
(* 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)))))
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 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))))))
(*.f64 z (-.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (sin.f64 y)))))
(* 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)))))))
(*.f64 z (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (-.f64 (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (sin.f64 y))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(/.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))
(* -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))))))
(*.f64 (-.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)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))
(* -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)))))
(neg.f64 (*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.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)))) 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)))))
(neg.f64 (*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (+.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 3 binary64)))) (neg.f64 z)) (/.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)))) z))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(/.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))
(+ (* -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)))
(-.f64 (/.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)) (/.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))))
(+ (* 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)))
(fma.f64 x (-.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (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)))
(+ (* 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)))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 (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)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(*.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))))) (*.f64 x (cos.f64 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)
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (cos.f64 y)) (/.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) 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)
(/.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (cos.f64 y))) (/.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) 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)
(/.f64 (-.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 (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)))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (-.f64 (/.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(*.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))))) (*.f64 x (cos.f64 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))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (cos.f64 y)) (/.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) 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))
(/.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 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 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))) (neg.f64 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 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 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)))) (neg.f64 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))) (neg.f64 x))

eval1.1s (9.1%)

Memory
-17.1MiB live, 781.5MiB allocated
Compiler

Compiled 191 441 to 4 829 computations (97.5% saved)

prune442.0ms (3.8%)

Memory
-2.1MiB live, 723.3MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New3 178293 207
Fresh9110
Picked235
Done000
Total3 189333 222
Accuracy
100.0%
Counts
3 222 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.1%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
35.1%
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
32.5%
(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))))
54.1%
(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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (sin.f64 y)))))
36.4%
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
77.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
51.1%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
51.0%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
35.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
46.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶12.8%
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
45.7%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
28.1%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
31.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
58.0%
(/.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))
38.7%
(/.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))) (neg.f64 z)))
▶51.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
58.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
42.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
✓51.8%
(-.f64 x (*.f64 z y))
46.4%
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
32.6%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
▶28.0%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
▶88.0%
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
41.1%
(*.f64 y (-.f64 (/.f64 x y) z))
18.2%
(*.f64 y (neg.f64 z))
35.1%
(*.f64 x (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)))
35.0%
(*.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)))
✓58.4%
(*.f64 x (cos.f64 y))
▶36.7%
(*.f64 x #s(literal 1 binary64))
42.7%
(neg.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 1 129 to 682 computations (39.6% saved)

simplify248.0ms (2.1%)

Memory
41.3MiB live, 385.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
✓cost-diff128
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
✓cost-diff6976
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
✓cost-diff0
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
✓cost-diff320
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x)))
✓cost-diff576
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(-.f64 x (*.f64 y z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
✓cost-diff320
(*.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(/.f64 (*.f64 x (cos.f64 y)) z)
✓cost-diff0
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓cost-diff704
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
Rules
4 944×lower-fma.f32
4 938×lower-fma.f64
3 096×lower-*.f32
3 068×lower-*.f64
1 232×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038253
072221
1141218
2326216
3857214
41753212
53638212
64714210
75890210
86729210
97095210
107463210
08457204
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
z
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/.f64 (*.f64 x (cos.f64 y)) z)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(sin.f64 y)
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(neg.f64 (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x)))
(*.f64 z (*.f64 y z))
(*.f64 y z)
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))
(*.f64 (neg.f64 (*.f64 y z)) x)
(neg.f64 (*.f64 y z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
z
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
#s(literal -1/2 binary64)
Outputs
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
z
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 (neg.f64 y)))
(/.f64 (*.f64 x (cos.f64 y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(sin.f64 y)
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 z y))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))
x
(*.f64 y z)
(*.f64 z y)
y
z
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y y)))))) (fma.f64 y (*.f64 z (fma.f64 z y x)) (*.f64 x x)))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))))
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(neg.f64 (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x)))
(fma.f64 y (*.f64 z (fma.f64 z y x)) (*.f64 x x))
(*.f64 z (*.f64 y z))
(*.f64 y (*.f64 z z))
(*.f64 y z)
(*.f64 z y)
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))
(*.f64 x (fma.f64 z y x))
(*.f64 (neg.f64 (*.f64 y z)) x)
(*.f64 z (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(*.f64 (/.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
z
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
#s(literal -1/2 binary64)

localize274.0ms (2.3%)

Memory
-19.6MiB live, 587.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
✓accuracy99.8%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
✓accuracy99.7%
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
✓accuracy53.7%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
✓accuracy93.3%
(*.f64 (neg.f64 (*.f64 y z)) x)
✓accuracy90.3%
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x)))
✓accuracy71.4%
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
✓accuracy32.0%
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
✓accuracy100.0%
(-.f64 x (*.f64 y z))
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
✓accuracy100.0%
(*.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓accuracy99.8%
(/.f64 (*.f64 x (cos.f64 y)) z)
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy88.0%
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
Samples
132.0ms57×2valid
48.0ms133×0valid
41.0ms66×1valid
Compiler

Compiled 261 to 43 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-sin: 80.0ms (42.3% of total)
ival-mult: 31.0ms (16.4% of total)
ival-cos: 31.0ms (16.4% of total)
adjust: 20.0ms (10.6% of total)
ival-div: 14.0ms (7.4% of total)
ival-sub: 5.0ms (2.6% of total)
ival-add: 5.0ms (2.6% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.5%)

Memory
-35.2MiB live, 149.1MiB allocated
Counts
19 → 528
Calls
Call 1
Inputs
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))>
#<alt (-.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))>
#<alt (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x)))>
#<alt (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))>
#<alt (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))>
#<alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))>
#<alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 (neg.f64 (*.f64 y z)) x)>
#<alt (/.f64 #s(literal -1/2 binary64) (sin.f64 y))>
Outputs
#<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 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 (* z (- (/ (* x (cos y)) 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 (* z (- (/ (* x (cos y)) 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 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
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#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))>
#<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 (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -11/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (/ -1/2 y)>
#<alt (/ (- (* -1/12 (pow y 2)) 1/2) y)>
#<alt (/ (- (* (pow y 2) (- (* -7/720 (pow y 2)) 1/12)) 1/2) y)>
#<alt (/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/30240 (pow y 2)) 7/720)) 1/12)) 1/2) y)>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
Calls

132 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
(* z (- (/ (* x (cos y)) z) (sin y)))
2.0ms
z
@0
(* z (+ (* 1/2 (/ (cos (* y -2)) (sin y))) (/ -1/2 (sin y))))
2.0ms
y
@0
(/ 1 (- x (* y z)))
2.0ms
y
@inf
(+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x)))
1.0ms
z
@inf
(/ 1 (- x (* y z)))

rewrite428.0ms (3.7%)

Memory
19.8MiB live, 928.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 684×lower-fma.f32
6 678×lower-fma.f64
5 006×lower-*.f32
4 978×lower-*.f64
4 534×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038185
072139
1253134
21860134
09045131
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 922
Calls
Call 1
Inputs
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/.f64 (*.f64 x (cos.f64 y)) z)
(*.f64 x (cos.f64 y))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 y z)
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
Outputs
(+.f64 (*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 z (/.f64 (*.f64 x (cos.f64 y)) z) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z (*.f64 (neg.f64 (sin.f64 y)) z))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z)) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z) (*.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (neg.f64 (sin.f64 y)) z)) (*.f64 (*.f64 (/.f64 (*.f64 x (cos.f64 y)) z) z) (*.f64 (neg.f64 (sin.f64 y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) z)
(+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y)))
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y)))))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(fma.f64 (cos.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z)) (neg.f64 (sin.f64 y)))
(fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z))
(fma.f64 (neg.f64 (*.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (cos.f64 y)) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 y)) z) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) (/.f64 x z) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y))))
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(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)))
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
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(*.f64 (*.f64 x (neg.f64 y)) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))

simplify281.0ms (2.4%)

Memory
20.1MiB live, 451.4MiB allocated
Algorithm
1×egg-herbie
Rules
5 996×lower-fma.f64
5 996×lower-fma.f32
4 486×lower-*.f64
4 486×lower-*.f32
2 252×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06314850
120204675
265904585
082064405
Stop Event
1×iter limit
1×node limit
Counts
528 → 502
Calls
Call 1
Inputs
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(* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) z)))))
(* -1 (* z (+ y (* -1 (/ (- (* -1 (/ (- (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y z)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z)) (* -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 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (/ (* y z) x)))
(* x (- (+ 1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* y z)) x)) 1)))
(pow x 3)
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(* -1 (* (pow y 3) (pow z 3)))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* -1 (* (pow y 3) (pow z 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(pow x 3)
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(* -1 (* (pow y 3) (pow z 3)))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* -1 (* (pow y 3) (pow z 3)))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow y 3) (pow z 3)))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -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))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(/ 1 y)
(/ (+ 1 (* -11/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)
(/ (cos (* -2 y)) (sin y))
(/ (cos (* -2 y)) (sin y))
(/ (cos (* -2 y)) (sin y))
(/ (cos (* -2 y)) (sin y))
(/ (cos (* -2 y)) (sin y))
(/ (cos (* -2 y)) (sin y))
(/ (cos (* -2 y)) (sin y))
(/ (cos (* -2 y)) (sin y))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(/ -1/2 y)
(/ (- (* -1/12 (pow y 2)) 1/2) y)
(/ (- (* (pow y 2) (- (* -7/720 (pow y 2)) 1/12)) 1/2) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/30240 (pow y 2)) 7/720)) 1/12)) 1/2) y)
(/ -1/2 (sin y))
(/ -1/2 (sin y))
(/ -1/2 (sin y))
(/ -1/2 (sin y))
(/ -1/2 (sin y))
(/ -1/2 (sin y))
(/ -1/2 (sin y))
(/ -1/2 (sin y))
Outputs
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos 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 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 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 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
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 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/ x z)
(/.f64 x z)
(+ (* -1 y) (/ x z))
(-.f64 (/.f64 x z) y)
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(fma.f64 y (fma.f64 x (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 #s(literal -1/2 binary64) z) (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 x z))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) z)
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ x z)
(/.f64 x z)
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(fma.f64 y (/.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (/.f64 x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(fma.f64 y (*.f64 y (fma.f64 x (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) z))) (/.f64 x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x (/.f64 #s(literal 1/24 binary64) z) (/.f64 (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64)) z)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
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(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 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))) (neg.f64 z)))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -11/6 (pow y 2))) y)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -11/6 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 127/360 binary64) #s(literal -11/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -221/15120 binary64) #s(literal 127/360 binary64))) #s(literal -11/6 binary64)) #s(literal 1 binary64)) y)
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(/ (- (* -1/12 (pow y 2)) 1/2) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) y)
(/ (- (* (pow y 2) (- (* -7/720 (pow y 2)) 1/12)) 1/2) y)
(/.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -7/720 binary64) #s(literal -1/12 binary64))) #s(literal -1/2 binary64)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/30240 (pow y 2)) 7/720)) 1/12)) 1/2) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/30240 binary64) #s(literal -7/720 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) y)
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))

eval216.0ms (1.8%)

Memory
1.2MiB live, 299.1MiB allocated
Compiler

Compiled 48 668 to 2 930 computations (94% saved)

prune192.0ms (1.6%)

Memory
-17.0MiB live, 478.9MiB allocated
Pruning

45 alts after pruning (41 fresh and 4 done)

PrunedKeptTotal
New1 466241 490
Fresh81725
Picked415
Done033
Total1 478451 523
Accuracy
100.0%
Counts
1 523 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.5%
(fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) z) (/.f64 z (*.f64 (sin.f64 y) #s(literal -2 binary64))))
35.1%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
35.1%
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
▶36.4%
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
77.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
51.1%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
51.0%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
35.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
46.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
12.8%
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x x)))
52.0%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))
28.1%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
58.0%
(/.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))
35.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
38.7%
(/.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))) (neg.f64 z)))
12.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
42.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
▶18.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
✓51.8%
(-.f64 x (*.f64 z y))
46.4%
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
32.6%
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
87.9%
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
87.9%
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (cos.f64 y)) (neg.f64 (sin.f64 y))))
✓28.0%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
26.6%
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
30.8%
(*.f64 z (/.f64 x z))
55.4%
(*.f64 z (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))))
55.9%
(*.f64 z (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
46.5%
(*.f64 z (*.f64 (cos.f64 y) (/.f64 x z)))
18.4%
(*.f64 z (*.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))))
18.5%
(*.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))))
18.2%
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
42.7%
(*.f64 z (neg.f64 (sin.f64 y)))
18.2%
(*.f64 z (neg.f64 y))
▶18.5%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
18.6%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 z)))
41.1%
(*.f64 y (-.f64 (/.f64 x y) z))
18.2%
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
35.1%
(*.f64 x (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)))
35.0%
(*.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)))
▶91.7%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
✓58.4%
(*.f64 x (cos.f64 y))
▶36.7%
x
Compiler

Compiled 1 549 to 943 computations (39.1% saved)

simplify288.0ms (2.5%)

Memory
13.1MiB live, 497.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))
✓cost-diff192
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
✓cost-diff320
(*.f64 #s(literal 0 binary64) z)
✓cost-diff1664
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
✓cost-diff128
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z))
✓cost-diff320
(fma.f64 y (*.f64 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)))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 y z))
✓cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 (sin.f64 y) (neg.f64 x))
✓cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y))
✓cost-diff704
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
Rules
11 204×lower-fma.f32
11 192×lower-fma.f64
4 322×lower-*.f32
4 302×lower-*.f64
2 052×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036233
068190
1153189
2406186
31343182
44293180
08439176
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
x
(fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y))
z
(/.f64 (sin.f64 y) (neg.f64 x))
(sin.f64 y)
y
(neg.f64 x)
(cos.f64 y)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 y z))
#s(literal -1 binary64)
(*.f64 y z)
y
z
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
y
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z))
(*.f64 y y)
(fma.f64 y (*.f64 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 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
(*.f64 z #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(neg.f64 z)
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))
#s(literal 0 binary64)
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
(fma.f64 z z (*.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal 0 binary64) z)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
Outputs
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
z
(/.f64 (sin.f64 y) (neg.f64 x))
(neg.f64 (/.f64 (sin.f64 y) x))
(sin.f64 y)
y
(neg.f64 x)
(cos.f64 y)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 z (neg.f64 y))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
#s(literal -1 binary64)
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
y
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 y y)
(fma.f64 y (*.f64 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 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
(*.f64 z #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(neg.f64 z)
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(sin.f64 y)
y
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))
(neg.f64 (*.f64 z (*.f64 z z)))
#s(literal 0 binary64)
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
(*.f64 z z)
(fma.f64 z z (*.f64 #s(literal 0 binary64) z))
(*.f64 z z)
(*.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)

localize133.0ms (1.1%)

Memory
2.1MiB live, 235.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))
✓accuracy99.9%
(*.f64 z (*.f64 z z))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy32.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
✓accuracy99.8%
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
✓accuracy99.5%
(*.f64 z #s(literal 1/6 binary64))
✓accuracy99.2%
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
✓accuracy94.0%
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (*.f64 y z))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y))
✓accuracy99.8%
(/.f64 (sin.f64 y) (neg.f64 x))
✓accuracy91.8%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
Samples
84.0ms256×0valid
Compiler

Compiled 253 to 43 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 22.0ms (35.5% of total)
const: 9.0ms (14.5% of total)
ival-add: 8.0ms (12.9% of total)
ival-sin: 8.0ms (12.9% of total)
ival-div: 7.0ms (11.3% of total)
ival-cos: 5.0ms (8.1% of total)
ival-neg: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series91.0ms (0.8%)

Memory
-11.7MiB live, 61.9MiB allocated
Counts
23 → 468
Calls
Call 1
Inputs
#<alt (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))>
#<alt (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) (neg.f64 x))>
#<alt (sin.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (fma.f64 y (*.f64 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)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z))>
#<alt (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))>
#<alt (*.f64 y y)>
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))>
#<alt (*.f64 #s(literal 0 binary64) z)>
#<alt (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))>
#<alt (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))>
#<alt (*.f64 z #s(literal 1/6 binary64))>
#<alt (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 z (*.f64 z z))>
#<alt (fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))>
Outputs
#<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 (* 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 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 (* 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) (* -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) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<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)) x))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))>
#<alt (+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<alt (* -1 (/ (sin y) x))>
#<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 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 1/6 z)>
#<alt (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))>
#<alt (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))>
#<alt (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))>
#<alt (* 1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))>
#<alt (* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))>
#<alt (* 1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))>
#<alt (* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))>
#<alt (* -1 z)>
#<alt (- (* 1/6 (* (pow y 2) z)) z)>
#<alt (- (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))) z)>
#<alt (- (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))) z)>
#<alt (* 1/5040 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))>
#<alt (* (pow y 6) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))>
#<alt (* 1/5040 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))>
#<alt (* (pow y 6) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))>
#<alt (* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))>
#<alt (* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))>
#<alt (* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* 1/5040 (* (pow y 7) z))>
#<alt (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))>
#<alt (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))>
#<alt (* 1/5040 (* (pow y 7) z))>
#<alt (* -1 (* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))>
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))>
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))>
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))>
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<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 (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* z (- (* 1/5040 (pow y 2)) 1/120))>
#<alt (* -1/120 z)>
#<alt (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))>
#<alt (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))>
#<alt (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))>
#<alt (* 1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* 1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt -1/120>
#<alt (- (* 1/5040 (pow y 2)) 1/120)>
#<alt (- (* 1/5040 (pow y 2)) 1/120)>
#<alt (- (* 1/5040 (pow y 2)) 1/120)>
#<alt (* 1/5040 (pow y 2))>
#<alt (* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* -1/120 (* y z))>
#<alt (* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))>
#<alt (* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))>
#<alt (* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))>
#<alt (* 1/5040 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))>
#<alt (* 1/5040 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<alt (* y (* z (- (* 1/5040 (pow y 2)) 1/120)))>
#<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 (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<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))))>
Calls

117 calls:

TimeVariablePointExpression
19.0ms
y
@0
(/ -1 (* y z))
1.0ms
z
@0
(+ (* y (* y (* z (+ (* (* y y) 1/5040) -1/120)))) (* z 1/6))
1.0ms
y
@-inf
(* x (+ (* z (/ (sin y) (neg x))) (cos y)))
1.0ms
y
@inf
(* x (+ (* z (/ (sin y) (neg x))) (cos y)))
1.0ms
z
@inf
(+ (* y (* y (* z (+ (* (* y y) 1/5040) -1/120)))) (* z 1/6))

rewrite113.0ms (1%)

Memory
7.5MiB live, 167.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 392×lower-fma.f32
1 380×lower-fma.f64
1 248×lower-*.f32
1 228×lower-*.f64
762×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036199
068172
1287156
02406156
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
23 → 411
Calls
Call 1
Inputs
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
(fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y))
(/.f64 (sin.f64 y) (neg.f64 x))
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y z)
(fma.f64 y (*.f64 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)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 y y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(*.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))
(cos.f64 y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
(*.f64 z #s(literal 1/6 binary64))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(*.f64 x (cos.f64 y))
(*.f64 z (*.f64 z z))
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) (neg.f64 x)))
(+.f64 (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) (neg.f64 x)) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) (neg.f64 x)))
(fma.f64 x (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (*.f64 x (cos.f64 y)))
(fma.f64 z (*.f64 (neg.f64 (/.f64 (sin.f64 y) x)) x) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) (*.f64 z x) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 x (*.f64 z (sin.f64 y))) (neg.f64 x)))
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(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))
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(*.f64 z #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) z)
(+.f64 (*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 z #s(literal -1/120 binary64))))
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(fma.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 z #s(literal -1/120 binary64))))
(fma.f64 (*.f64 z y) #s(literal -1/120 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(fma.f64 (*.f64 z y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 (*.f64 z y) #s(literal -1/120 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 z y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 z y)))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 z y) (*.f64 #s(literal -1/120 binary64) (*.f64 z y)))
(fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) y (*.f64 (*.f64 z #s(literal -1/120 binary64)) y))
(/.f64 (*.f64 (*.f64 z y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) #s(literal -1/1728000 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (*.f64 (*.f64 z y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) y))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(*.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (*.f64 z y))
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) y)
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) z)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))
(+.f64 (*.f64 z (*.f64 z z)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (*.f64 z z))))
(fma.f64 z (*.f64 z z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) z #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (*.f64 z (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z))))
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(pow.f64 z #s(literal 3 binary64))
(*.f64 z (*.f64 z z))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (*.f64 z z))))
(*.f64 (*.f64 z z) z)
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (neg.f64 (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z)))) (neg.f64 (*.f64 z z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 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 #s(literal 2 binary64) y)))) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (*.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64)))))
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(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))))

simplify391.0ms (3.3%)

Memory
-3.8MiB live, 550.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 878×lower-fma.f64
13 878×lower-fma.f32
5 398×lower-*.f64
5 398×lower-*.f32
2 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02483941
18063636
224673594
351423551
083983352
Stop Event
1×iter limit
1×node limit
Counts
468 → 464
Calls
Call 1
Inputs
(* -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))))
(* 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)))))
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)))))))
(* 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 (/ (* z (sin y)) x))))
(* 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 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* 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)) x))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(+ (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) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ y x))
(* y (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (sin y) x))
(* -1 (/ (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 (* 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))
(/ -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)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/6 z)
(+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))
(+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))
(+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))
(* 1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))
(* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))
(* 1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))
(* (pow y 4) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* z (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))
(* -1 z)
(- (* 1/6 (* (pow y 2) z)) z)
(- (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))) z)
(- (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))) z)
(* 1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))
(* (pow y 6) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* 1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 6) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))
(* (pow y 6) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))
(* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))
(* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))
(* -1 (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6)))))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* 1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))
(* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* 1/5040 (* (pow y 7) z))
(* -1 (* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* -1 (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))))
(* -1 (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* y (* z (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* -1 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120))) 1/6))))))
(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 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
0
0
0
0
0
0
0
0
0
0
0
0
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* -1/120 z)
(+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))
(+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))
(+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))
(* 1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* 1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
-1/120
(- (* 1/5040 (pow y 2)) 1/120)
(- (* 1/5040 (pow y 2)) 1/120)
(- (* 1/5040 (pow y 2)) 1/120)
(* 1/5040 (pow y 2))
(* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* -1/120 (* y z))
(* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))
(* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))
(* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))
(* 1/5040 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* 1/5040 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(* 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))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
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))))
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ 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 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
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(* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))
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(* y (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* 1/5040 (* (pow y 3) z))
(*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* 1/5040 (* (pow y 3) z))
(*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* -1 (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) y))
(* y (* z (- (* 1/5040 (pow y 2)) 1/120)))
(*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) 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 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (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))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ 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 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* 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)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

eval160.0ms (1.4%)

Memory
32.2MiB live, 190.1MiB allocated
Compiler

Compiled 19 951 to 1 566 computations (92.2% saved)

prune198.0ms (1.7%)

Memory
-6.3MiB live, 231.7MiB allocated
Pruning

47 alts after pruning (41 fresh and 6 done)

PrunedKeptTotal
New90214916
Fresh92736
Picked325
Done044
Total91447961
Accuracy
100.0%
Counts
961 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.5%
(fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) z) (/.f64 z (*.f64 (sin.f64 y) #s(literal -2 binary64))))
35.1%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
35.1%
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
25.9%
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x #s(literal 1 binary64)))
✓99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
77.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
51.0%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
35.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
46.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
76.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (-.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (cos.f64 y)))
28.1%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
58.0%
(/.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))
35.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
38.7%
(/.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))) (neg.f64 z)))
12.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
18.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
42.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
✓18.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
✓51.8%
(-.f64 x (*.f64 z y))
18.5%
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) y)
32.6%
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
18.2%
(*.f64 (neg.f64 z) y)
87.9%
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
87.9%
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (cos.f64 y)) (neg.f64 (sin.f64 y))))
✓28.0%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
30.8%
(*.f64 z (/.f64 x z))
55.9%
(*.f64 z (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
46.5%
(*.f64 z (*.f64 (cos.f64 y) (/.f64 x z)))
18.4%
(*.f64 z (*.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))))
18.2%
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
42.7%
(*.f64 z (neg.f64 (sin.f64 y)))
17.8%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z #s(literal 1/5040 binary64))) (neg.f64 z)))
18.5%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) (neg.f64 z)))
18.6%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
18.2%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (neg.f64 z)))
41.1%
(*.f64 y (-.f64 (/.f64 x y) z))
18.6%
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
18.2%
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
35.1%
(*.f64 x (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)))
35.0%
(*.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)))
87.5%
(*.f64 x (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) z) (cos.f64 y)))
69.1%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64)))
79.7%
(*.f64 x (/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (cos.f64 y))))
34.6%
(*.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))
✓58.4%
(*.f64 x (cos.f64 y))
✓36.7%
x
Compiler

Compiled 2 303 to 828 computations (64% saved)

regimes251.0ms (2.1%)

Memory
-20.8MiB live, 137.8MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (neg.f64 z)))
(*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 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))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.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))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 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))) (neg.f64 z)))
(*.f64 x (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z #s(literal 1/5040 binary64))) (neg.f64 z)))
(*.f64 z (*.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) (neg.f64 z)))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
(*.f64 z (*.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64)))
(/.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))))
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (cos.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
(*.f64 x (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) z) (cos.f64 y)))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (cos.f64 y)) (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x (cos.f64 y)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) z) (/.f64 z (*.f64 (sin.f64 y) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (-.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 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 z (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(*.f64 x (/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (-.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (cos.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))))
(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 z (sin.f64 y)))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(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)))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.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 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))
(*.f64 z (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 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 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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (-.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 (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)))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
Calls

4 calls:

100.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
61.0ms
y
42.0ms
z
22.0ms
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)

regimes196.0ms (1.7%)

Memory
0.9MiB live, 82.2MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (neg.f64 z)))
(*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 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))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.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))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 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))) (neg.f64 z)))
(*.f64 x (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z #s(literal 1/5040 binary64))) (neg.f64 z)))
(*.f64 z (*.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) (neg.f64 z)))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
(*.f64 z (*.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64)))
(/.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))))
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x #s(literal 1 binary64)))
(-.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:

88.0ms
z
76.0ms
x
14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
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)

regimes182.0ms (1.6%)

Memory
-1.5MiB live, 76.3MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (neg.f64 z)))
(*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 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))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.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))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 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))) (neg.f64 z)))
(*.f64 x (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z #s(literal 1/5040 binary64))) (neg.f64 z)))
(*.f64 z (*.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) (neg.f64 z)))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
(*.f64 z (*.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64)))
(/.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))))
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (*.f64 x #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

79.0ms
y
14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
x
14.0ms
z
Results
AccuracySegmentsBranch
87.2%3x
81.5%3y
87.2%3z
77.3%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes190.0ms (1.6%)

Memory
-5.9MiB live, 84.6MiB allocated
Counts
43 → 4
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (neg.f64 z)))
(*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 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))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.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))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 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))) (neg.f64 z)))
(*.f64 x (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z #s(literal 1/5040 binary64))) (neg.f64 z)))
(*.f64 z (*.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) (neg.f64 z)))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
Outputs
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (sin.f64 y)))
Calls

4 calls:

89.0ms
x
75.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
y
12.0ms
z
Results
AccuracySegmentsBranch
62.2%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
79.0%4y
76.4%3x
75.5%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes40.0ms (0.3%)

Memory
18.8MiB live, 58.2MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (neg.f64 z)))
(*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 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))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.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))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 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))) (neg.f64 z)))
(*.f64 x (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z #s(literal 1/5040 binary64))) (neg.f64 z)))
(*.f64 z (*.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) (neg.f64 z)))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(*.f64 x (cos.f64 y))
Calls

3 calls:

14.0ms
z
12.0ms
y
12.0ms
x
Results
AccuracySegmentsBranch
67.7%3z
67.0%3x
74.5%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes78.0ms (0.7%)

Memory
-3.2MiB live, 73.2MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(*.f64 z (/.f64 x z))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (neg.f64 z)))
(*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 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))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.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))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 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))) (neg.f64 z)))
(*.f64 x (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z #s(literal 1/5040 binary64))) (neg.f64 z)))
(*.f64 z (*.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) (neg.f64 z)))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))))) x)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z)))
Outputs
(-.f64 x (*.f64 z y))
Calls

4 calls:

39.0ms
x
15.0ms
y
11.0ms
z
11.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
51.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.8%1x
51.8%1z
51.8%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 z) y)
Outputs
x
(*.f64 y (neg.f64 z))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
40.5%2z
36.7%1y
41.3%3x
36.7%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
Outputs
x
Calls

3 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
36.7%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
36.7%1x
36.7%1z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch99.0ms (0.8%)

Memory
-7.9MiB live, 34.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.5767513179421457e+47
7.156407151579893e+58
77.0ms
-2.0555619661120462e-184
-9.091160161409036e-188
Samples
86.0ms288×0valid
Compiler

Compiled 375 to 284 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-sin: 68.0ms (86.1% of total)
ival-cos: 6.0ms (7.6% of total)
ival-mult: 4.0ms (5.1% of total)
ival-sub: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch107.0ms (0.9%)

Memory
-25.9MiB live, 49.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.201430563830993e-6
0.010731565425976242
9.0ms
-0.01723993970602273
-0.002411676148133104
77.0ms
-1.863703069497045e+236
-3.33156578514542e+225
Samples
84.0ms384×0valid
Compiler

Compiled 571 to 404 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 8.0ms (36.9% of total)
ival-sin: 7.0ms (32.3% of total)
ival-mult: 5.0ms (23.1% of total)
ival-sub: 2.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
31.3MiB live, 70.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1837220.45624653
1.5263865255475133e+24
1.0ms
-0.01723993970602273
-0.002411676148133104
Samples
19.0ms160×0valid
Compiler

Compiled 447 to 302 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 6.0ms (41.4% of total)
ival-sin: 5.0ms (34.5% of total)
ival-mult: 3.0ms (20.7% of total)
ival-sub: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-4.5MiB live, 37.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
6.242186260421142e+108
6.148583025424094e+117
Samples
13.0ms144×0valid
Compiler

Compiled 132 to 104 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.2% of total)
ival-cos: 3.0ms (30.1% of total)
ival-sin: 3.0ms (30.1% of total)
ival-sub: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-13.6MiB live, 25.0MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
16×+-commutative_binary64
16×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
10×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046129
174129
294129
3102129
4106129
5107129
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -1492628508715909/19136262932255243894327540630475154705164967900866663911068029494595001430924024396931296128159696131577158553613765316960850876967683885097823130383956161858642094270647956721192399556036699204091904 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4600000000000000039431601178137144439738608910336 binary64)) (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -21500000000000000869493070497323884248527954248203642830555081711522794069223593976055794410159900876023765519483995045464612736900553187321619431182424745283580885907095676493433592607701967266682515111857014096265165201214177017856 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x) (neg.f64 (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1850000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal 32000000000000000497901316142938976776582444701473965867832658573786680997272182504479532477281518325638600987770880 binary64)) x (*.f64 y (neg.f64 z)))
x
Outputs
(fma.f64 (sin.f64 y) (neg.f64 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 z #s(literal -1492628508715909/19136262932255243894327540630475154705164967900866663911068029494595001430924024396931296128159696131577158553613765316960850876967683885097823130383956161858642094270647956721192399556036699204091904 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4600000000000000039431601178137144439738608910336 binary64)) (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1492628508715909/19136262932255243894327540630475154705164967900866663911068029494595001430924024396931296128159696131577158553613765316960850876967683885097823130383956161858642094270647956721192399556036699204091904 binary64)) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 4600000000000000039431601178137144439738608910336 binary64)) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -21500000000000000869493070497323884248527954248203642830555081711522794069223593976055794410159900876023765519483995045464612736900553187321619431182424745283580885907095676493433592607701967266682515111857014096265165201214177017856 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x) (neg.f64 (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -21500000000000000869493070497323884248527954248203642830555081711522794069223593976055794410159900876023765519483995045464612736900553187321619431182424745283580885907095676493433592607701967266682515111857014096265165201214177017856 binary64)) (neg.f64 (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) (neg.f64 z)) x) (neg.f64 (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1850000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1850000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) (neg.f64 z)) x) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal 32000000000000000497901316142938976776582444701473965867832658573786680997272182504479532477281518325638600987770880 binary64)) x (*.f64 y (neg.f64 z)))
x

soundness908.0ms (7.8%)

Memory
0.2MiB live, 733.2MiB allocated
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
10 986×lower-fma.f64
10 986×lower-fma.f32
7 062×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038185
072139
1253134
21860134
09045131
097624
1292619
2837613
32075607
43601607
56258607
08452586
09758952
133718731
081238524
0819
01319
13319
221019
3196419
0837919
Stop Event
1×fuel
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
Compiler

Compiled 301 to 159 computations (47.2% saved)

preprocess180.0ms (1.5%)

Memory
-12.0MiB live, 144.6MiB allocated
Compiler

Compiled 288 to 102 computations (64.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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