Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

Time bar (total: 11.3s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample2.1s (18.7%)

Memory
15.6MiB live, 1 374.6MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-cos: 498.0ms (47.8% of total)
ival-sin: 246.0ms (23.6% of total)
ival-mult: 210.0ms (20.1% of total)
ival-add: 78.0ms (7.5% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess45.0ms (0.4%)

Memory
10.0MiB live, 49.3MiB allocated
Algorithm
1×egg-herbie
Rules
162×associate-*r*
160×unsub-neg
146×associate-*l*
132×distribute-lft-neg-in
106×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
568881
686181
794781
8102581
9109181
10110581
11111081
12111281
089
0139
1169
0168
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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

explain157.0ms (1.4%)

Memory
0.7MiB live, 282.1MiB 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
85.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-add: 29.0ms (45.4% of total)
ival-cos: 14.0ms (21.9% of total)
ival-sin: 12.0ms (18.8% of total)
ival-mult: 8.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB 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)

simplify6.0ms (0.1%)

Memory
-22.9MiB live, 16.1MiB 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-diff128
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
8×lower-fma.f64
8×lower-fma.f32
8×lower-*.f32
4×*-commutative
4×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
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)))
(fma.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)

localize36.0ms (0.3%)

Memory
13.8MiB live, 93.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
28.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 7.0ms (40.5% of total)
ival-sin: 5.0ms (28.9% of total)
ival-mult: 3.0ms (17.3% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
5 → 108
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))>
#<alt (sin.f64 y)>
Outputs
#<alt (* 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) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* 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))>
#<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)>
Calls

27 calls:

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

rewrite415.0ms (3.7%)

Memory
2.4MiB live, 905.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 068×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3183621
0838620
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 177
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))
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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) (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.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) (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.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 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.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 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (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 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.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)))))))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (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 (cos.f64 y)) (-.f64 (*.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 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.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)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.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 (-.f64 (*.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))))))))
(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)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sin.f64 y))))
(neg.f64 (neg.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (sin.f64 y))))
(*.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))))
(sin.f64 y)

simplify453.0ms (4%)

Memory
-15.8MiB live, 518.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 652×lower-fma.f64
11 652×lower-fma.f32
4 396×lower-*.f64
4 396×lower-*.f32
2 464×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1343678
2987666
32638660
44676660
57002660
08182604
Stop Event
1×iter limit
1×node limit
Counts
108 → 105
Calls
Call 1
Inputs
(* 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* 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))
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)
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(+ x (* y (+ 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 z y) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 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 (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (*.f64 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 (*.f64 y x)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(* x (cos y))
(*.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 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* 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 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (fma.f64 y (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) 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)

eval32.0ms (0.3%)

Memory
-17.1MiB live, 58.9MiB allocated
Compiler

Compiled 10 107 to 553 computations (94.5% saved)

prune38.0ms (0.3%)

Memory
34.0MiB live, 73.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New26715282
Fresh000
Picked101
Done000
Total26815283
Accuracy
100.0%
Counts
283 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
44.9%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶53.4%
(fma.f64 z y x)
51.7%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
51.9%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
▶67.7%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
27.9%
(/.f64 (/.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
45.2%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
17.4%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.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))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.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))))))))
▶45.3%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
45.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
40.4%
(*.f64 z (sin.f64 y))
▶61.4%
(*.f64 x (cos.f64 y))
Compiler

Compiled 930 to 444 computations (52.3% saved)

simplify281.0ms (2.5%)

Memory
10.6MiB live, 321.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff20608
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 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
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff6400
(-.f64 (*.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))))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(fma.f64 z y x)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Rules
12 412×lower-fma.f32
12 406×lower-fma.f64
3 060×lower-*.f32
3 042×lower-*.f64
1 502×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029368
057358
1128358
2314357
3865357
42582351
56620351
08341338
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(fma.f64 z y x)
z
y
x
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(-.f64 (*.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 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z z)
z
(-.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)
y
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x x)
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
x
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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)
y
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.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) (-.f64 (*.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) (-.f64 (*.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 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 z z)
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(fma.f64 z y x)
(fma.f64 y z x)
z
y
x
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (-.f64 z x)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(-.f64 (*.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))))))
(fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 z z)
z
(-.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)
y
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (-.f64 z x)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
x
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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)
y
(-.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 (cos.f64 y))
(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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.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) (neg.f64 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))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))
(*.f64 z z)

localize249.0ms (2.2%)

Memory
-11.6MiB live, 312.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy83.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓accuracy81.4%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy80.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy96.7%
(-.f64 (*.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))))))
✓accuracy83.2%
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy80.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy60.2%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
87.0ms87×1valid
49.0ms128×0valid
31.0ms40×2valid
1.0ms1×3valid
Compiler

Compiled 373 to 34 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-cos: 38.0ms (27.8% of total)
ival-sin: 32.0ms (23.4% of total)
ival-mult: 27.0ms (19.8% of total)
adjust: 11.0ms (8.1% of total)
ival-add: 11.0ms (8.1% of total)
ival-div: 8.0ms (5.9% of total)
ival-sub: 7.0ms (5.1% of total)
ival-neg: 2.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.7%)

Memory
-6.0MiB live, 71.6MiB allocated
Counts
14 → 384
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (fma.f64 z y x)>
#<alt (-.f64 (*.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))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))>
#<alt (fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))>
#<alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
#<alt (/.f64 (*.f64 z z) (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* 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) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* 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 (* 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 x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (pow x 2))>
#<alt (- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -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)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -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)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))>
#<alt (+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
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#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
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#<alt (- (* x (+ (* x (+ (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (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)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
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#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
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#<alt (/ (pow z 2) (* x (cos y)))>
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#<alt (* -1 (/ z (sin y)))>
#<alt (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2))))>
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#<alt (+ (* -1 (/ z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* z (pow (sin y) 3))))) (/ (cos y) (pow (sin y) 2)))))>
#<alt (/ (pow z 2) (* x (cos y)))>
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#<alt (/ (- (+ (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ (pow z 2) (* x (cos y)))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (sin y)) (pow (cos y) 2)))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (/ (pow z 2) x)>
#<alt (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x))>
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#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
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#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
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#<alt (* (pow z 2) (- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))>
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#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -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)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (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)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
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#<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))) (* -1 (/ (* (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 (/ (- (* -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)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
Calls

96 calls:

TimeVariablePointExpression
26.0ms
z
@inf
(/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y))))
3.0ms
x
@inf
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y 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
y
@0
(/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y))))
2.0ms
y
@-inf
(/ (* z z) (- (* x (cos y)) (* z (sin y))))
2.0ms
z
@inf
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))

rewrite646.0ms (5.7%)

Memory
45.8MiB live, 977.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 654×lower-*.f32
4 636×lower-*.f64
4 290×lower-/.f32
4 284×lower-/.f64
3 524×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029211
057147
1249109
22101109
08336109
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 683
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
(fma.f64 z y x)
(-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.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)))))
(/.f64 (*.f64 z z) (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 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 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 z (/.f64 (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(fma.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) (neg.f64 z) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) x) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) x (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (neg.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) (neg.f64 z) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (fma.f64 (sin.f64 y) (neg.f64 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 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (*.f64 (neg.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) (neg.f64 z) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (*.f64 (neg.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) (neg.f64 z) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 z 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 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 z 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))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
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(/.f64 (neg.f64 (*.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (neg.f64 z)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (*.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (neg.f64 z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (*.f64 z z))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 z (/.f64 (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 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 z z) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 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 z) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 z (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.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 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 z 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))))

simplify694.0ms (6.2%)

Memory
-17.6MiB live, 747.0MiB allocated
Algorithm
1×egg-herbie
Rules
6 784×lower-fma.f64
6 784×lower-fma.f32
6 680×lower-*.f64
6 680×lower-*.f32
3 330×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109610799
1394210624
0827710196
Stop Event
1×iter limit
1×node limit
Counts
384 → 375
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* 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)
(* 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)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))) (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ 1 (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))
(* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))))))
(* -1 (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))) z)) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(- (* x (+ (/ (* x (* (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)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(- (* x (+ (* x (+ (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (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)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(* -1 (/ (* (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)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -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))) x)
(* -1 (/ (* (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))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (pow z 2) (* x (cos y)))
(* (pow z 2) (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))))
(* -1 (/ z (sin y)))
(* z (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))
(* z (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* z (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))
(* -1 (/ z (sin y)))
(* -1 (* z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (/ z (sin y)))
(+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2))))
(+ (* -1 (/ z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (cos y) (pow (sin y) 2)))))
(+ (* -1 (/ z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* z (pow (sin y) 3))))) (/ (cos y) (pow (sin y) 2)))))
(/ (pow z 2) (* x (cos y)))
(/ (+ (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))) (/ (pow z 2) (cos y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ (pow z 2) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (sin y)) (pow (cos y) 2)))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (sin y)) (pow (cos y) 2)))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/ (pow z 2) x)
(+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/2 (/ (pow z 3) (pow x 2))) (+ (* 1/6 (/ (pow z 3) (pow x 2))) (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -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))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -1 (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -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)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (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)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* 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))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* -1 (/ (* 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)))))
(+ (* -1 (/ (* 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)))) (/ (* (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)))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(/ (+ (/ (* (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)
(/ (- (+ (/ (* (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)))) (* -1 (/ (* (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))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) 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))) (* -1 (/ (* (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))) (* -1 (/ (* (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 (/ (- (* -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)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
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(*.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))))
(/ (+ (/ (* (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 (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 (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)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/.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)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (+.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 x 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)))))) (*.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 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) 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)))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (+.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 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) 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))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))
(/.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 (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))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(neg.f64 (/.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 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (+.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 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))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -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)) (* -1 (/ (* (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 (fma.f64 (*.f64 z (*.f64 z z)) (/.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)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (+.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))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.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)))))) (neg.f64 x))) x))) (neg.f64 x))

eval517.0ms (4.6%)

Memory
8.5MiB live, 732.8MiB allocated
Compiler

Compiled 153 196 to 4 041 computations (97.4% saved)

prune296.0ms (2.6%)

Memory
-3.5MiB live, 504.4MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New2 307322 339
Fresh9110
Picked235
Done000
Total2 318362 354
Accuracy
100.0%
Counts
2 354 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 (*.f64 (neg.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) (neg.f64 z) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
37.7%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
49.6%
(fma.f64 z (/.f64 (+.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))))
✓53.4%
(fma.f64 z y x)
51.9%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
51.7%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
22.0%
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
33.8%
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
45.4%
(fma.f64 x (*.f64 y (/.f64 z x)) x)
37.8%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
45.4%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
19.9%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
29.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
33.8%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
34.1%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
26.9%
(/.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))
61.2%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
19.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
33.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
45.2%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
▶19.7%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
33.7%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
26.9%
(*.f64 (neg.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))))
41.8%
(*.f64 (neg.f64 z) (neg.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) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))))
85.7%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
40.4%
(*.f64 z (sin.f64 y))
40.3%
(*.f64 y (+.f64 z (/.f64 x y)))
16.6%
(*.f64 y z)
▶37.7%
(*.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)))
37.8%
(*.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)))
91.2%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
▶61.2%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓61.4%
(*.f64 x (cos.f64 y))
▶39.9%
(*.f64 x #s(literal 1 binary64))
Compiler

Compiled 1 445 to 796 computations (44.9% saved)

simplify244.0ms (2.2%)

Memory
-20.0MiB live, 429.9MiB 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))) (cos.f64 y))
✓cost-diff0
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓cost-diff7104
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))
✓cost-diff320
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
✓cost-diff320
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
✓cost-diff0
(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))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(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))
✓cost-diff0
(*.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)))
✓cost-diff320
(*.f64 x #s(literal 1 binary64))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
Rules
8 392×lower-fma.f32
8 378×lower-fma.f64
4 458×lower-*.f32
4 432×lower-*.f64
1 736×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038283
073275
1147255
2396255
31013251
41932248
53666248
64271248
75384248
08244243
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.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)))
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 y 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))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))
x
(*.f64 x x)
(*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))
(*.f64 y z)
y
z
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 z (*.f64 y z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))))
#s(literal 1 binary64)
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
(*.f64 x (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
x
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(*.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)))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y x)) x)
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))
(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))
(*.f64 y 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))
(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))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (fma.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x)))
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x)))
x
(*.f64 x x)
(*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))
(*.f64 (*.f64 y y) (*.f64 z (*.f64 z (*.f64 y z))))
(*.f64 y z)
y
z
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 z (*.f64 y z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x)))
#s(literal 1 binary64)
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
(fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x))
(*.f64 x (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64))) x))
x
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

localize159.0ms (1.4%)

Memory
-6.2MiB live, 273.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
✓accuracy99.8%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓accuracy99.7%
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓accuracy99.2%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓accuracy96.2%
(*.f64 x (-.f64 x (*.f64 y z)))
✓accuracy92.8%
(*.f64 y (*.f64 z (*.f64 y z)))
✓accuracy90.6%
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
✓accuracy38.0%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
✓accuracy99.9%
(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))
✓accuracy99.9%
(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))
✓accuracy99.9%
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy99.6%
(*.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)))
✓accuracy100.0%
(*.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
Samples
97.0ms256×0valid
Compiler

Compiled 304 to 46 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 28.0ms (37.8% of total)
ival-cos: 11.0ms (14.9% of total)
ival-div: 10.0ms (13.5% of total)
ival-add: 8.0ms (10.8% of total)
const: 8.0ms (10.8% of total)
ival-sin: 7.0ms (9.5% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.7%)

Memory
9.9MiB live, 81.4MiB allocated
Counts
22 → 480
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))>
#<alt (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (*.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)))>
#<alt (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))>
#<alt (*.f64 y y)>
#<alt (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))>
#<alt (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))>
#<alt (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))>
#<alt (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))>
#<alt (*.f64 x x)>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))>
#<alt (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))>
#<alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (*.f64 y (*.f64 z (*.f64 y z)))>
#<alt (*.f64 x (-.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1/2 binary64) (cos.f64 y))>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* 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) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)>
#<alt (/ 1 (* z (sin y)))>
#<alt (* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (/ 1 (* z (sin y)))>
#<alt (+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))>
#<alt (* -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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* 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) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* 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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<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 (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<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 -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)>
#<alt (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)>
#<alt (* -1/720 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/720 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -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)) (* -1 (* y z))) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))>
#<alt (+ x (* y (- (* y (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y))))>
#<alt (* y (- (+ z (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* (pow y 3) z)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* y z))) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y)) (* -1 x)) y)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))>
#<alt (+ x (* z (- (* z (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) x)) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 2)))) (* -1 (/ x z))))>
#<alt (* z (- (+ y (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -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)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))>
#<alt (* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))>
#<alt (pow x 3)>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))>
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))>
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))>
#<alt (pow x 3)>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))>
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))>
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (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 (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<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 1/24>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* x (+ x (* -1 (* y z))))>
#<alt (* x (+ x (* -1 (* y z))))>
#<alt (* x (+ x (* -1 (* y z))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow x 2) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow x 2) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow x 2) y)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* z (+ (* -1 (* x y)) (/ (pow x 2) z)))>
#<alt (* z (+ (* -1 (* x y)) (/ (pow x 2) z)))>
#<alt (* z (+ (* -1 (* x y)) (/ (pow x 2) z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
Calls

120 calls:

TimeVariablePointExpression
14.0ms
z
@inf
(* (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))) (/ 1 (+ (* y (* z (* y z))) (* x (- x (* y z))))))
6.0ms
x
@inf
(/ 1 (+ (* (sin y) z) (* x (cos y))))
2.0ms
x
@0
(* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
2.0ms
x
@inf
(/ 1 (/ 1 (+ (* (sin y) z) (* x (cos y)))))
1.0ms
x
@0
(* x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1))

rewrite437.0ms (3.9%)

Memory
14.6MiB live, 731.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 068×lower-fma.f32
6 054×lower-fma.f64
5 076×lower-*.f32
5 050×lower-*.f64
4 180×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038216
073206
1282190
22173190
09080188
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 812
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
(*.f64 x #s(literal 1 binary64))
(*.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)))
(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 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))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))
(*.f64 x x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 x (cos.f64 y))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 x (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
(/.f64 (neg.f64 (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)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (neg.f64 y)) #s(literal 2 binary64))
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 z (*.f64 y (*.f64 y z)))
(*.f64 (*.f64 y y) (*.f64 z z))
(*.f64 (*.f64 y z) (*.f64 y z))
(*.f64 (*.f64 y (*.f64 z z)) y)
(*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))
(*.f64 (*.f64 y (*.f64 y z)) z)
(*.f64 (*.f64 z z) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 x (*.f64 z (neg.f64 y))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (*.f64 z (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) x))
(fma.f64 x x (*.f64 x (*.f64 z (neg.f64 y))))
(fma.f64 x x (*.f64 (*.f64 z (neg.f64 y)) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (*.f64 z (neg.f64 y))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 z (neg.f64 y)) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 z (neg.f64 y))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 z (neg.f64 y)) x))
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) x) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) x) (fma.f64 y z x))
(/.f64 (neg.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))) (neg.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) (neg.f64 (fma.f64 y z x)))
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(*.f64 x (-.f64 x (*.f64 y z)))
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(*.f64 (-.f64 x (*.f64 y z)) x)
(*.f64 (*.f64 x (-.f64 x (*.f64 y z))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(pow.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 1/2 binary64))

simplify461.0ms (4.1%)

Memory
-2.0MiB live, 489.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 520×lower-fma.f64
8 520×lower-fma.f32
5 544×lower-*.f64
5 544×lower-*.f32
2 282×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06135361
120575034
275374984
080974709
Stop Event
1×iter limit
1×node limit
Counts
480 → 458
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
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(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
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(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
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(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ 1 (* x (cos y)))
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x
(+ x (* y z))
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(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
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(+ (* x (cos y)) (* z (sin y)))
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(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
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(* 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* 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)
x
x
x
x
x
x
x
x
x
x
x
x
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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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))))))
(* -1/720 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
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(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))
1
(+ 1 (* -1/2 (pow y 2)))
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(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(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)
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-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))))
(* x (- (+ 1 (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -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)) (* -1 (* y z))) x)) 1)))
x
(+ x (* y z))
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))
(+ x (* y (- (* y (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))
(* y z)
(* y (+ z (/ x y)))
(* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ z (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* (pow y 3) z)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* y z))) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y)) (* -1 x)) y)))))
x
(+ x (* y z))
(+ x (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))
(+ x (* z (- (* z (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) x)) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))
(* y z)
(* z (+ y (/ x z)))
(* z (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ y (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -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)))))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))
(* (pow y 2) (pow z 2))
(+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))
(* (pow y 3) (pow z 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(pow x 3)
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (pow z 3))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(pow x 3)
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow y 3) (pow z 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (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 (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
1
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* 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))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* -1 (* x (* y z)))
(* x (+ x (* -1 (* y z))))
(* x (+ x (* -1 (* y z))))
(* x (+ x (* -1 (* y z))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* -1 (* x (* y z))) (pow x 2))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ (pow x 2) y)))
(* y (+ (* -1 (* x z)) (/ (pow x 2) y)))
(* y (+ (* -1 (* x z)) (/ (pow x 2) y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* -1 (* x (* y z))) (pow x 2))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ (pow x 2) z)))
(* z (+ (* -1 (* x y)) (/ (pow x 2) z)))
(* z (+ (* -1 (* x y)) (/ (pow x 2) z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))
1/2
(+ 1/2 (* 1/4 (pow y 2)))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z x) (*.f64 (/.f64 z (*.f64 x x)) #s(literal 1/3 binary64))) (neg.f64 y) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 z (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
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(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* (pow y 2) (pow z 2))
(*.f64 y (*.f64 y (*.f64 z z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* x (+ x (* -1 (* y z))))
(*.f64 x (-.f64 x (*.f64 y z)))
(* x (+ x (* -1 (* y z))))
(*.f64 x (-.f64 x (*.f64 y z)))
(* x (+ x (* -1 (* y z))))
(*.f64 x (-.f64 x (*.f64 y z)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* x (* y z))) (pow x 2))
(*.f64 x (-.f64 x (*.f64 y z)))
(+ (* -1 (* x (* y z))) (pow x 2))
(*.f64 x (-.f64 x (*.f64 y z)))
(+ (* -1 (* x (* y z))) (pow x 2))
(*.f64 x (-.f64 x (*.f64 y z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* y (+ (* -1 (* x z)) (/ (pow x 2) y)))
(*.f64 y (fma.f64 x (neg.f64 z) (*.f64 x (/.f64 x y))))
(* y (+ (* -1 (* x z)) (/ (pow x 2) y)))
(*.f64 y (fma.f64 x (neg.f64 z) (*.f64 x (/.f64 x y))))
(* y (+ (* -1 (* x z)) (/ (pow x 2) y)))
(*.f64 y (fma.f64 x (neg.f64 z) (*.f64 x (/.f64 x y))))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))
(neg.f64 (*.f64 y (fma.f64 x z (/.f64 (*.f64 (neg.f64 x) x) y))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))
(neg.f64 (*.f64 y (fma.f64 x z (/.f64 (*.f64 (neg.f64 x) x) y))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* x z))))
(neg.f64 (*.f64 y (fma.f64 x z (/.f64 (*.f64 (neg.f64 x) x) y))))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* x (* y z))) (pow x 2))
(*.f64 x (-.f64 x (*.f64 y z)))
(+ (* -1 (* x (* y z))) (pow x 2))
(*.f64 x (-.f64 x (*.f64 y z)))
(+ (* -1 (* x (* y z))) (pow x 2))
(*.f64 x (-.f64 x (*.f64 y z)))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* z (+ (* -1 (* x y)) (/ (pow x 2) z)))
(*.f64 z (fma.f64 x (neg.f64 y) (*.f64 x (/.f64 x z))))
(* z (+ (* -1 (* x y)) (/ (pow x 2) z)))
(*.f64 z (fma.f64 x (neg.f64 y) (*.f64 x (/.f64 x z))))
(* z (+ (* -1 (* x y)) (/ (pow x 2) z)))
(*.f64 z (fma.f64 x (neg.f64 y) (*.f64 x (/.f64 x z))))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))
(*.f64 z (neg.f64 (-.f64 (*.f64 x y) (*.f64 x (/.f64 x z)))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))
(*.f64 z (neg.f64 (-.f64 (*.f64 x y) (*.f64 x (/.f64 x z)))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* x y))))
(*.f64 z (neg.f64 (-.f64 (*.f64 x y) (*.f64 x (/.f64 x z)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 5/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 61/1440 binary64) #s(literal 5/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

eval287.0ms (2.5%)

Memory
32.9MiB live, 331.7MiB allocated
Compiler

Compiled 43 291 to 3 123 computations (92.8% saved)

prune305.0ms (2.7%)

Memory
3.1MiB live, 404.0MiB allocated
Pruning

46 alts after pruning (42 fresh and 4 done)

PrunedKeptTotal
New1 287191 306
Fresh52328
Picked415
Done033
Total1 296461 342
Accuracy
100.0%
Counts
1 342 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
(fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 (cos.f64 y) #s(literal 2 binary64))))
61.1%
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x (*.f64 x (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
37.7%
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) x)
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
49.6%
(fma.f64 z (/.f64 (+.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))))
✓53.4%
(fma.f64 z y x)
51.9%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
51.7%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
51.7%
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
22.0%
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
33.8%
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
45.4%
(fma.f64 x (*.f64 y (/.f64 z x)) x)
37.8%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
48.9%
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
45.4%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
19.9%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
29.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
33.8%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
26.9%
(/.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))
▶61.2%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
48.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
19.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
33.6%
(/.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)))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)))
40.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
61.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
39.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
36.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x)))))
8.8%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (*.f64 y (neg.f64 z))))))
5.3%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (neg.f64 z) (*.f64 y (*.f64 z z))))))
15.1%
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
33.7%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
▶5.1%
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
13.8%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
26.9%
(*.f64 (neg.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))))
41.8%
(*.f64 (neg.f64 z) (neg.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) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))))
85.7%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
40.4%
(*.f64 z (sin.f64 y))
40.3%
(*.f64 y (+.f64 z (/.f64 x y)))
16.6%
(*.f64 y z)
▶37.7%
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
37.8%
(*.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)))
▶91.2%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
✓61.2%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓61.4%
(*.f64 x (cos.f64 y))
▶39.9%
x
Compiler

Compiled 1 731 to 988 computations (42.9% saved)

simplify354.0ms (3.1%)

Memory
13.1MiB live, 466.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
✓cost-diff0
(*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))
✓cost-diff0
(*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))))
✓cost-diff320
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
✓cost-diff320
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
✓cost-diff0
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 (sin.f64 y) x)
✓cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓cost-diff704
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
Rules
4 616×lower-fma.f32
4 606×lower-fma.f64
3 640×lower-*.f32
3 610×lower-*.f64
2 754×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035243
067243
1145229
2336226
31010217
41410214
52257214
63595214
75115214
08176207
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
x
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
(cos.f64 y)
x
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))))
y
(*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))
z
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z z))
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))))
#s(literal 1 binary64)
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
(*.f64 z (*.f64 y z))
(*.f64 y z)
(*.f64 x (-.f64 x (*.f64 y z)))
x
(-.f64 x (*.f64 y z))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
Outputs
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
(cos.f64 y)
x
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y y)) x)
x
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)))
(*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))))
(*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y y)))))
y
(*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))
(*.f64 y (*.f64 z (*.f64 z (*.f64 z y))))
z
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 z (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 z z))
(*.f64 z (*.f64 z y))
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)))
#s(literal 1 binary64)
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
(fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))
(*.f64 z (*.f64 y z))
(*.f64 z (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
(*.f64 x (-.f64 x (*.f64 y z)))
(*.f64 x (-.f64 x (*.f64 z y)))
x
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 (fma.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64))) x) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)

localize189.0ms (1.7%)

Memory
-23.4MiB live, 356.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.8%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
✓accuracy99.2%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy92.8%
(*.f64 y (*.f64 y (*.f64 z z)))
✓accuracy90.6%
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
✓accuracy83.8%
(*.f64 y (*.f64 z z))
✓accuracy62.5%
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
✓accuracy100.0%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
✓accuracy99.6%
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓accuracy99.8%
(/.f64 (sin.f64 y) x)
✓accuracy91.3%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
Samples
100.0ms256×0valid
Compiler

Compiled 258 to 42 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 32.0ms (47.1% of total)
ival-cos: 11.0ms (16.2% of total)
ival-add: 7.0ms (10.3% of total)
ival-sin: 7.0ms (10.3% of total)
ival-div: 5.0ms (7.4% of total)
const: 4.0ms (5.9% of total)
ival-sub: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory
16.0MiB live, 54.4MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<alt (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))>
#<alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) x)>
#<alt (sin.f64 y)>
#<alt (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))>
#<alt (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))>
#<alt (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))))>
#<alt (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))>
#<alt (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))>
#<alt (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 (*.f64 y y) #s(literal -1/720 binary64))>
#<alt (*.f64 y (*.f64 z z))>
#<alt (*.f64 y (*.f64 y (*.f64 z z)))>
#<alt (cos.f64 y)>
Outputs
#<alt (* 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) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2))))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* -1/720 (* x (pow y 4))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* -1/720 (* x (pow y 4))))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (* -1/720 x)))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (/ x (pow y 6)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (/ x (pow y 6)))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (* -1/720 x)))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (/ x (pow y 6)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (/ x (pow y 6)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/720 (pow y 4)) 1/2)))>
#<alt (* -1/720 (pow y 6))>
#<alt (* -1 (* (pow y 6) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* (pow y 6) (- (/ 1 (pow y 6)) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* (pow y 6) (- (/ 1 (pow y 6)) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* -1/720 (pow y 6))>
#<alt (* -1 (* (pow y 6) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* (pow y 6) (- (/ 1 (pow y 6)) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* (pow y 6) (- (/ 1 (pow y 6)) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<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 -1/2>
#<alt (- (* -1/720 (pow y 4)) 1/2)>
#<alt (- (* -1/720 (pow y 4)) 1/2)>
#<alt (- (* -1/720 (pow y 4)) 1/2)>
#<alt (* -1/720 (pow y 4))>
#<alt (* -1 (* (pow y 4) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 4) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 4) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* -1/720 (pow y 4))>
#<alt (* -1 (* (pow y 4) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 4) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 4) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))>
#<alt (/ (* (pow y 3) (pow z 3)) (pow x 2))>
#<alt (* (pow y 3) (+ (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 3) (pow x 2))))>
#<alt (* (pow y 3) (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 5) (pow x 4))) (/ (pow z 5) (pow x 4))))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 3) (pow x 2))))>
#<alt (* (pow y 3) (+ (* y (- (* y (- (* -1 (* y (+ (/ (* z (+ (* -1 (/ (pow z 5) (pow x 4))) (/ (pow z 5) (pow x 4)))) x) (/ (pow z 6) (pow x 5))))) (+ (* -1 (/ (pow z 5) (pow x 4))) (/ (pow z 5) (pow x 4))))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 3) (pow x 2))))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y))))>
#<alt (* y (- (+ z (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) z) (/ (pow x 3) (pow z 2))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y))) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) z)) (* -1 (/ (pow x 3) (pow z 2)))) y)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y))) y)))))>
#<alt (/ (* (pow y 3) (pow z 3)) (pow x 2))>
#<alt (* (pow z 3) (+ (/ (* (pow y 4) z) (pow x 3)) (/ (pow y 3) (pow x 2))))>
#<alt (* (pow z 3) (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 5) (pow x 4))) (/ (pow y 5) (pow x 4))))) (* -1 (/ (pow y 4) (pow x 3))))) (/ (pow y 3) (pow x 2))))>
#<alt (* (pow z 3) (+ (* z (- (* z (- (* -1 (* z (+ (/ (* y (+ (* -1 (/ (pow y 5) (pow x 4))) (/ (pow y 5) (pow x 4)))) x) (/ (pow y 6) (pow x 5))))) (+ (* -1 (/ (pow y 5) (pow x 4))) (/ (pow y 5) (pow x 4))))) (* -1 (/ (pow y 4) (pow x 3))))) (/ (pow y 3) (pow x 2))))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 2)))) (* -1 (/ x z))))>
#<alt (* z (- (+ y (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) y) (/ (pow x 3) (pow y 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) z))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) (* -1 (/ (pow x 3) (pow y 2)))) z)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z))) z)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ (* x (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))))) (* y z))>
#<alt (+ (* x (+ 1 (* (pow x 2) (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))))) (* y z))>
#<alt (/ (* (pow y 3) (pow z 3)) (pow x 2))>
#<alt (/ (+ (* (pow y 3) (pow z 3)) (/ (* (pow y 4) (pow z 4)) x)) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5))) (pow x 2))) (* (pow y 3) (pow z 3))) (* -1 (/ (* (pow y 4) (pow z 4)) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* y (* z (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5))))) (* (pow y 6) (pow z 6))) (pow x 3))) (* (pow y 3) (pow z 3))) (+ (* -1 (/ (* (pow y 4) (pow z 4)) x)) (+ (* -1 (/ (* (pow y 5) (pow z 5)) (pow x 2))) (/ (* (pow y 5) (pow z 5)) (pow x 2))))) (pow x 2))>
#<alt (/ (* (pow y 3) (pow z 3)) (pow x 2))>
#<alt (/ (+ (* (pow y 3) (pow z 3)) (/ (* (pow y 4) (pow z 4)) x)) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow y 5) (pow z 5)) x)) (/ (* (pow y 5) (pow z 5)) x)) (* (pow y 4) (pow z 4))) x)) (* (pow y 3) (pow z 3))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* z (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5))))) x)) (* -1 (/ (* (pow y 6) (pow z 6)) x))) (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5)))) x)) (* (pow y 4) (pow z 4))) x)) (* (pow y 3) (pow z 3))) (pow x 2))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))>
#<alt (* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (* (pow y 2) (pow z 3))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt x>
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt x>
#<alt (+ x (* -1 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
Calls

108 calls:

TimeVariablePointExpression
44.0ms
z
@-inf
(* (* y (* z (* y (* y (* z z))))) (/ 1 (+ (* y (* z (* y z))) (* x (- x (* y z))))))
1.0ms
x
@0
(* x (+ (* (* y y) (+ (* (* y y) (* (* y y) -1/720)) -1/2)) 1))
1.0ms
x
@0
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
1.0ms
y
@inf
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
1.0ms
y
@-inf
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))

rewrite316.0ms (2.8%)

Memory
1.2MiB live, 633.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 490×lower-*.f32
5 460×lower-*.f64
4 888×lower-/.f32
4 882×lower-/.f64
4 218×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035182
067180
1250153
21604153
08488148
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 570
Calls
Call 1
Inputs
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))
(*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))))
(*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(*.f64 y (*.f64 z z))
(*.f64 y (*.f64 y (*.f64 z z)))
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(fma.f64 x (*.f64 z (/.f64 (sin.f64 y) x)) (*.f64 x (cos.f64 y)))
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) x) x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (/.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 z (/.f64 (sin.f64 y) x)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x z) (/.f64 (sin.f64 y) x) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (/.f64 x x) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #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 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))))
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(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(*.f64 #s(literal -1/720 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal -1/720 binary64)) y)
(*.f64 z (*.f64 z y))
(*.f64 y (*.f64 z z))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 z y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 z y)) #s(literal 2 binary64))
(*.f64 z (*.f64 y (*.f64 z y)))
(*.f64 z (*.f64 (*.f64 z y) y))
(*.f64 y (*.f64 z (*.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 z z))
(*.f64 (*.f64 z z) (*.f64 y y))
(*.f64 (*.f64 z y) (*.f64 z y))
(*.f64 (*.f64 z (*.f64 z y)) y)
(*.f64 (neg.f64 (*.f64 z y)) (neg.f64 (*.f64 z y)))
(*.f64 (*.f64 y (*.f64 z y)) z)
(*.f64 (*.f64 (*.f64 y y) z) z)
(*.f64 (*.f64 (*.f64 z y) y) z)
(cos.f64 y)

simplify333.0ms (3%)

Memory
-43.0MiB live, 499.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 990×lower-fma.f64
6 990×lower-fma.f32
4 976×lower-*.f64
4 976×lower-*.f32
2 042×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05294267
117054037
256683963
083293724
Stop Event
1×iter limit
1×node limit
Counts
432 → 427
Calls
Call 1
Inputs
(* 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* z (sin y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
1
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(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
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(/ (sin y) x)
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(* y (+ 1 (* -1/6 (pow y 2))))
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(+ x (* -1/2 (* x (pow y 2))))
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(* -1 (* (pow y 6) (+ 1/720 (* 1/2 (/ 1 (pow y 4))))))
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(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) (* -1 (/ (pow x 3) (pow y 2)))) z)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z))) z)))))
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(+ (* x (+ 1 (* (pow x 2) (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))))) (* y z))
(/ (* (pow y 3) (pow z 3)) (pow x 2))
(/ (+ (* (pow y 3) (pow z 3)) (/ (* (pow y 4) (pow z 4)) x)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5))) (pow x 2))) (* (pow y 3) (pow z 3))) (* -1 (/ (* (pow y 4) (pow z 4)) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* y (* z (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5))))) (* (pow y 6) (pow z 6))) (pow x 3))) (* (pow y 3) (pow z 3))) (+ (* -1 (/ (* (pow y 4) (pow z 4)) x)) (+ (* -1 (/ (* (pow y 5) (pow z 5)) (pow x 2))) (/ (* (pow y 5) (pow z 5)) (pow x 2))))) (pow x 2))
(/ (* (pow y 3) (pow z 3)) (pow x 2))
(/ (+ (* (pow y 3) (pow z 3)) (/ (* (pow y 4) (pow z 4)) x)) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow y 5) (pow z 5)) x)) (/ (* (pow y 5) (pow z 5)) x)) (* (pow y 4) (pow z 4))) x)) (* (pow y 3) (pow z 3))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* z (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5))))) x)) (* -1 (/ (* (pow y 6) (pow z 6)) x))) (+ (* -1 (* (pow y 5) (pow z 5))) (* (pow y 5) (pow z 5)))) x)) (* (pow y 4) (pow z 4))) x)) (* (pow y 3) (pow z 3))) (pow x 2))
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(+ (* -1 (* x (* y z))) (pow x 2))
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(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))
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(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))
(* (pow y 2) (pow z 2))
(+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
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(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
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(* (pow y 3) (pow z 3))
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(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
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(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 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))
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(* -1/720 (pow y 2))
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(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
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(* y (pow z 2))
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(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
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(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
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(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
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(* (pow y 2) (pow z 2))
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(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
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)
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
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x
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(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
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x
(+ x (* -1 (* x (pow y 2))))
(-.f64 x (*.f64 x (*.f64 y y)))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
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(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))
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(cos (* -2 y))
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(cos (* -2 y))
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(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
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(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
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(*.f64 z (*.f64 z (*.f64 y y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 z (*.f64 y y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 z (*.f64 y y)))
(* (pow y 2) (pow z 2))
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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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval135.0ms (1.2%)

Memory
25.9MiB live, 369.3MiB allocated
Compiler

Compiled 31 882 to 2 343 computations (92.7% saved)

prune206.0ms (1.8%)

Memory
2.6MiB live, 368.3MiB allocated
Pruning

51 alts after pruning (45 fresh and 6 done)

PrunedKeptTotal
New1 032141 046
Fresh63137
Picked235
Done134
Total1 041511 092
Accuracy
100.0%
Counts
1 092 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.5%
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.f64 y)))
61.1%
(fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 (cos.f64 y) #s(literal 2 binary64))))
37.7%
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) x) x)
99.7%
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓53.4%
(fma.f64 z y x)
51.9%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
51.7%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
51.7%
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
22.0%
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
33.8%
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
45.4%
(fma.f64 x (*.f64 y (/.f64 z x)) x)
37.8%
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
48.9%
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
61.1%
(/.f64 (fma.f64 (*.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (cos.f64 y))
24.7%
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y))
45.4%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
19.9%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
29.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
33.8%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
26.9%
(/.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))
✓61.2%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
48.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
19.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)))
40.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
61.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
39.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
36.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x)))))
8.8%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (*.f64 y (neg.f64 z))))))
5.3%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (neg.f64 z) (*.f64 y (*.f64 z z))))))
61.2%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
15.1%
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
33.7%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
12.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y))))) (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y))))
✓5.1%
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
3.5%
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y y)))))
13.8%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
26.9%
(*.f64 (neg.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))))
41.8%
(*.f64 (neg.f64 z) (neg.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) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))))
85.7%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
40.4%
(*.f64 z (sin.f64 y))
16.6%
(*.f64 z y)
40.3%
(*.f64 y (+.f64 z (/.f64 x y)))
37.8%
(*.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)))
37.7%
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
85.6%
(*.f64 x (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (cos.f64 y)))
69.2%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
91.2%
(*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (cos.f64 y)))
✓61.4%
(*.f64 x (cos.f64 y))
✓39.9%
x
Compiler

Compiled 2 533 to 869 computations (65.7% saved)

regimes101.0ms (0.9%)

Memory
6.9MiB live, 238.9MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(*.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)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) x) x)
(*.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 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y y)))))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y))))) (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (neg.f64 z) (*.f64 y (*.f64 z z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (cos.f64 y)))
(*.f64 x (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (cos.f64 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.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)))))) (sin.f64 y))
(/.f64 (fma.f64 (*.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(*.f64 (neg.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 #s(literal 1/2 binary64) (cos.f64 y)) x (*.f64 x (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.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 (*.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 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (-.f64 (*.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(fma.f64 z (/.f64 (+.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))))
(*.f64 (neg.f64 z) (neg.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) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))))
(fma.f64 (*.f64 (neg.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) (neg.f64 z) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.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))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.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))))))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

26.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
24.0ms
y
24.0ms
z
23.0ms
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)

regimes59.0ms (0.5%)

Memory
-11.3MiB live, 160.1MiB allocated
Counts
45 → 5
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(*.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)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) x) x)
(*.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 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y y)))))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y))))) (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (neg.f64 z) (*.f64 y (*.f64 z z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
Outputs
(*.f64 x (cos.f64 y))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(*.f64 z (sin.f64 y))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(*.f64 x (cos.f64 y))
Calls

4 calls:

16.0ms
z
14.0ms
x
13.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms
y
Results
AccuracySegmentsBranch
88.4%5x
82.5%5y
83.8%4z
77.8%4(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes30.0ms (0.3%)

Memory
-3.1MiB live, 75.9MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(*.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)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) x) x)
(*.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 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y y)))))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y))))) (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (neg.f64 z) (*.f64 y (*.f64 z z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
Calls

2 calls:

15.0ms
z
13.0ms
x
Results
AccuracySegmentsBranch
74.1%3z
82.2%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.3%)

Memory
24.2MiB live, 101.0MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(*.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)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) x) x)
(*.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 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y y)))))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y))))) (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (neg.f64 z) (*.f64 y (*.f64 z z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y 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 z y) #s(literal -1/6 binary64))) z) x)
(*.f64 x (cos.f64 y))
Calls

3 calls:

13.0ms
y
13.0ms
x
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
66.5%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
75.4%3y
71.5%3x
Compiler

Compiled 20 to 14 computations (30% saved)

regimes55.0ms (0.5%)

Memory
-5.7MiB live, 147.5MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(*.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)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) x) x)
(*.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 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y y)))))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y))))) (*.f64 z y)) (*.f64 z (*.f64 y (*.f64 z y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (neg.f64 z) (*.f64 y (*.f64 z z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
Outputs
(fma.f64 z y x)
Calls

4 calls:

15.0ms
z
12.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
53.4%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
53.4%1x
53.4%1z
53.4%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory
0.8MiB live, 37.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
Outputs
x
(*.f64 y z)
x
Calls

4 calls:

4.0ms
x
2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
39.9%1y
42.9%2z
46.3%3x
39.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory
-21.5MiB live, 18.1MiB 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
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
39.9%1y
39.9%1z
39.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch62.0ms (0.5%)

Memory
31.7MiB live, 146.0MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.00509215853886379
0.4730032706482545
21.0ms
3.6136427176832426e-237
8.100245939553148e-222
19.0ms
-2.4712755447608267e-214
-1.5622252993321108e-219
2.0ms
-1.9804666425040857e+47
-1.8003385516158373e+47
Samples
42.0ms432×0valid
Compiler

Compiled 582 to 419 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-cos: 13.0ms (41.7% of total)
ival-sin: 10.0ms (32.1% of total)
ival-mult: 6.0ms (19.2% of total)
ival-add: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
4.1MiB live, 53.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
2.2315571754435673e-139
5.8894432834772016e-139
19.0ms
-4.515717005271627e-37
-1.6514595811578662e-37
Samples
22.0ms160×0valid
Compiler

Compiled 175 to 134 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (31.9% of total)
ival-sin: 3.0ms (31.9% of total)
ival-mult: 2.0ms (21.3% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory
-6.3MiB live, 104.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
4.2287225423087196e-7
3378.860185238779
20.0ms
-13.506227614094588
-1.5363594875748794e-36
Samples
28.0ms336×0valid
Compiler

Compiled 561 to 371 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 7.0ms (42.7% of total)
ival-mult: 4.0ms (24.4% of total)
ival-sin: 4.0ms (24.4% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
2.0MiB live, 44.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
2.2315571754435673e-139
5.8894432834772016e-139
20.0ms
-1.049218154712424e-67
-1.1013109749091788e-69
Samples
12.0ms144×0valid
Compiler

Compiled 159 to 122 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (36.2% of total)
ival-sin: 3.0ms (36.2% of total)
ival-mult: 2.0ms (24.1% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-15.6MiB live, 23.1MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051122
159122
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal -136451785456117/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5860559560148309/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (*.f64 z (sin.f64 y)) (if (<=.f64 x #s(literal 7566047373982433/18014398509481984 binary64)) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 x #s(literal -3974910309120899/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 1843573590367107/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -6124895493223875/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8070450532247929/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) (*.f64 x (cos.f64 y))))
(fma.f64 z y x)
(if (<=.f64 x #s(literal -6993608012012625/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) x (if (<=.f64 x #s(literal 3486030061785075/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (*.f64 y z) x))
x
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal -136451785456117/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5860559560148309/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (*.f64 z (sin.f64 y)) (if (<=.f64 x #s(literal 7566047373982433/18014398509481984 binary64)) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal -136451785456117/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5860559560148309/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (*.f64 (sin.f64 y) z) (if (<=.f64 x #s(literal 7566047373982433/18014398509481984 binary64)) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 x #s(literal -3974910309120899/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 1843573590367107/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -3974910309120899/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 1843573590367107/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -6124895493223875/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8070450532247929/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -6124895493223875/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8070450532247929/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x) (*.f64 x (cos.f64 y))))
(fma.f64 z y x)
(if (<=.f64 x #s(literal -6993608012012625/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) x (if (<=.f64 x #s(literal 3486030061785075/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (*.f64 y z) x))
x

soundness1.0s (9.3%)

Memory
4.9MiB live, 745.1MiB allocated
Rules
11 652×lower-fma.f64
11 652×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
6 990×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038216
073206
1282190
22173190
09080188
0109610799
1394210624
0827710196
0109682
1343678
2987666
32638660
44676660
57002660
08182604
05294267
117054037
256683963
083293724
0821
01321
12921
218521
3183621
0838620
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
1×node limit
1×iter limit
Compiler

Compiled 278 to 153 computations (45% saved)

preprocess110.0ms (1%)

Memory
-10.4MiB live, 143.0MiB allocated
Compiler

Compiled 274 to 116 computations (57.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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