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

Time bar (total: 12.7s)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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)

sample2.2s (17.4%)

Memory
15.7MiB live, 1 250.5MiB allocated
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-add: 375.0ms (30.2% of total)
ival-cos: 349.0ms (28.1% of total)
ival-mult: 254.0ms (20.5% of total)
ival-sin: 252.0ms (20.3% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess47.0ms (0.4%)

Memory
-21.8MiB live, 62.0MiB 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)))

explain127.0ms (1%)

Memory
-7.3MiB live, 225.7MiB 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
48.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 11.0ms (35.1% of total)
ival-cos: 10.0ms (31.9% of total)
ival-mult: 7.0ms (22.3% of total)
ival-add: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Memory
9.0MiB live, 9.0MiB 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)

localize57.0ms (0.4%)

Memory
11.5MiB live, 53.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
49.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 28.0ms (69.8% of total)
ival-cos: 5.0ms (12.5% of total)
ival-sin: 5.0ms (12.5% of total)
ival-add: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-18.5MiB live, 19.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
Outputs
#<alt (* 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))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
z
@0
(+ (* x (cos y)) (* z (sin y)))
1.0ms
x
@0
(+ (* x (cos y)) (* z (sin y)))
1.0ms
z
@inf
(+ (* x (cos y)) (* z (sin y)))
1.0ms
y
@-inf
(+ (* x (cos y)) (* z (sin y)))
1.0ms
y
@inf
(+ (* x (cos y)) (* z (sin y)))

rewrite431.0ms (3.4%)

Memory
9.0MiB live, 670.5MiB 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
0819
01319
12919
218519
3183619
0838618
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.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))))))
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(-.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 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (*.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)))))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
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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))))

simplify343.0ms (2.7%)

Memory
7.0MiB live, 526.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
3 812×lower-*.f64
3 812×lower-*.f32
2 968×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1295616
2892610
32078604
43746604
56389604
08805554
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
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))
Outputs
(* 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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #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 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 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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 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 x (*.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)) 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.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 y (*.f64 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))

eval32.0ms (0.2%)

Memory
23.7MiB live, 62.4MiB allocated
Compiler

Compiled 9 966 to 552 computations (94.5% saved)

prune45.0ms (0.3%)

Memory
-14.0MiB live, 97.2MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New25317270
Fresh000
Picked101
Done000
Total25417271
Accuracy
99.9%
Counts
271 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(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)))))))
▶99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
▶55.0%
(fma.f64 z y x)
54.3%
(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)
54.0%
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
▶64.6%
(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)))))))
18.9%
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.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)))))
39.3%
(/.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))))
8.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.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))))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
57.5%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
66.8%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
79.9%
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
39.3%
(*.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)))))))
▶40.0%
(*.f64 z (sin.f64 y))
61.2%
(*.f64 x (cos.f64 y))
Compiler

Compiled 900 to 430 computations (52.2% saved)

simplify321.0ms (2.5%)

Memory
23.7MiB live, 427.5MiB 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-diff14528
(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
(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)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(fma.f64 z y x)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
Rules
12 944×lower-fma.f32
12 936×lower-fma.f64
3 980×lower-*.f32
3 968×lower-*.f64
1 856×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024243
048243
196243
2197241
3482241
41452240
53817230
67474230
08209222
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(fma.f64 z y x)
z
y
x
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
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)
(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 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(fma.f64 z y x)
(fma.f64 y z x)
z
y
x
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
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)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z z) (+.f64 (cos.f64 (+.f64 y y)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (cos.f64 (+.f64 y y)) x))))
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 #s(literal -1/2 binary64) (/.f64 (fma.f64 x (cos.f64 (+.f64 y y)) x) (fma.f64 (cos.f64 y) (neg.f64 x) (*.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 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)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(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 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 x) (*.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 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 z (sin.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) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 z z)

localize200.0ms (1.6%)

Memory
-22.4MiB live, 280.3MiB 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))))
✓accuracy89.2%
(*.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)))))
✓accuracy75.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy75.0%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
58.0ms77×1valid
52.0ms123×0valid
42.0ms53×2valid
3.0ms3×3valid
Compiler

Compiled 249 to 30 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-cos: 38.0ms (30.8% of total)
ival-mult: 35.0ms (28.3% of total)
ival-sin: 17.0ms (13.8% of total)
adjust: 12.0ms (9.7% of total)
ival-add: 10.0ms (8.1% of total)
ival-div: 5.0ms (4% of total)
ival-sub: 4.0ms (3.2% of total)
ival-neg: 2.0ms (1.6% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
-14.9MiB live, 60.7MiB allocated
Counts
13 → 348
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (fma.f64 z y x)>
#<alt (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))>
#<alt (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 #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 (* 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 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)>
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#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
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#<alt (sin y)>
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#<alt (sin y)>
#<alt (sin y)>
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#<alt x>
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#<alt x>
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#<alt (- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (+ (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (/ (* (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 (* x (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))>
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#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
#<alt x>
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#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (- (/ (* (pow x 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)))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
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#<alt (+ (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4))))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -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 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* 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))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -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)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -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)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2))))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -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))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* 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))))))>
#<alt (* -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))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* 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))))))>
#<alt 1>
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#<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 (/ (* (pow y 2) (pow z 2)) x))>
#<alt (* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* 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)))))) (/ (pow z 2) x)))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))) (* 1/2 (/ 1 (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* 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))))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3))))))))) (* 1/2 (/ 1 (* x (cos y))))))>
#<alt (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* 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))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (- (/ (* 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))))>
#<alt (- (* x (+ (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<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))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))>
#<alt (/ (- (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (* -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)>
#<alt (/ (- (+ (* -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)>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))>
#<alt (* -1 (/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))>
#<alt (* -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))>
#<alt (* -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))>
#<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 (/ (pow z 2) (* x (cos y)))>
#<alt (* (pow z 2) (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* -1 (/ z (sin y)))>
#<alt (* z (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (/ z (sin y)))>
#<alt (* -1 (* z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* -1 (/ z (sin y)))>
#<alt (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2))))>
#<alt (+ (* -1 (/ z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (cos y) (pow (sin y) 2)))))>
#<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)))>
#<alt (/ (+ (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))) (/ (pow z 2) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)>
#<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)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (* -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))>
#<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))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<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))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 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))))))>
#<alt (* (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))))))>
#<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)))))>
#<alt (* 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)))))>
#<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)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ (* (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)>
#<alt (/ (- (+ (/ (* (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)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -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

87 calls:

TimeVariablePointExpression
5.0ms
y
@-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)))))))
4.0ms
x
@0
(+ (* 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
@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)))))))
2.0ms
x
@inf
(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))
2.0ms
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)))))))

rewrite804.0ms (6.3%)

Memory
28.7MiB live, 1 077.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 196×lower-/.f32
6 192×lower-/.f64
5 314×lower-*.f32
5 302×lower-*.f64
3 904×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024151
048114
120594
2150194
0903494
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 2 001
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(fma.f64 z y x)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.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)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 #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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(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) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) x) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (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 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (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))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (/.f64 (/.f64 (*.f64 z (neg.f64 z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
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(*.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.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))))))) (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 (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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 (/.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 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 z (neg.f64 z)) #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))

simplify514.0ms (4%)

Memory
16.0MiB live, 806.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 680×lower-fma.f64
8 680×lower-fma.f32
6 454×lower-*.f64
6 454×lower-*.f32
4 610×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09198148
132827873
082057578
Stop Event
1×iter limit
1×node limit
Counts
348 → 339
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)))
(* 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)))))
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)
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)))
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)))))
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(* x (cos y))
(* x (cos y))
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(* x (cos y))
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(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
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(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (+ (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (/ (* (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 (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2))))))))
(* x (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
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(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(- (/ (* (pow x 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 x 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 x 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 x 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 x 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 x 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 x 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 x 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)))))
(/ (* 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 (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -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 (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4))))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -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 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* 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 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -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 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -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)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2))))))))
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(pow y 2)
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(/ (* (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 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 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)))
(* 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 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* 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 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(neg.f64 (*.f64 z (-.f64 (/.f64 x (neg.f64 z)) y)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(neg.f64 (*.f64 z (-.f64 (/.f64 x (neg.f64 z)) y)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(neg.f64 (*.f64 z (-.f64 (/.f64 x (neg.f64 z)) y)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 x y)))
(* y z)
(*.f64 y z)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (/.f64 (*.f64 y z) x) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (/.f64 (*.f64 y z) x) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (/.f64 (*.f64 y z) x) x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
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 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 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 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* 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 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 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))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(*.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)))
(- (/ (* 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))))
(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)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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))))
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(/.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 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.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 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -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))
(/.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 (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)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (neg.f64 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))

eval749.0ms (5.9%)

Memory
-132.1MiB live, 920.5MiB allocated
Compiler

Compiled 176 218 to 3 953 computations (97.8% saved)

prune215.0ms (1.7%)

Memory
-13.2MiB live, 480.5MiB allocated
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New2 529262 555
Fresh9312
Picked145
Done000
Total2 539332 572
Accuracy
100.0%
Counts
2 572 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(fma.f64 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) z (*.f64 x (cos.f64 y)))
48.8%
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶79.9%
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
55.6%
(fma.f64 (cos.f64 y) x (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
66.8%
(fma.f64 (cos.f64 y) x (*.f64 y z))
✓55.0%
(fma.f64 z y x)
54.0%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
54.3%
(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)
99.0%
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
48.0%
(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)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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))))
96.4%
(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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
61.7%
(/.f64 (fma.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 (neg.f64 z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.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)) x)) (*.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 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
39.3%
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
26.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
60.8%
(/.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))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
49.2%
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
27.5%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
▶27.0%
(*.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))))
16.2%
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
16.1%
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
27.0%
(*.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)))
✓40.0%
(*.f64 z (sin.f64 y))
16.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
▶15.9%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
16.1%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
39.4%
(*.f64 y (+.f64 z (/.f64 x y)))
▶15.9%
(*.f64 y z)
94.1%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
61.2%
(*.f64 x (cos.f64 y))
Compiler

Compiled 1 330 to 709 computations (46.7% saved)

simplify234.0ms (1.8%)

Memory
14.1MiB live, 321.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
✓cost-diff0
(neg.f64 z)
✓cost-diff128
(*.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))))
✓cost-diff7104
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
✓cost-diff320
(*.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
✓cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Rules
5 794×lower-fma.f32
5 784×lower-fma.f64
2 824×lower-*.f32
2 808×lower-*.f64
1 942×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030168
056160
1110160
2256160
3673157
41233155
52012154
63409154
75489154
87024154
08003151
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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 y z)
y
z
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(sin.f64 y)
y
z
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.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))))
(neg.f64 z)
z
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
#s(literal -1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 y z)
y
z
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 y (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
(fma.f64 y (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (sin.f64 y) x)
(sin.f64 y)
y
z
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(*.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))))
(*.f64 (/.f64 z (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(neg.f64 z)
z
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
#s(literal -1/2 binary64)

localize392.0ms (3.1%)

Memory
-6.8MiB live, 469.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
✓accuracy99.8%
(*.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))))
✓accuracy99.7%
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
✓accuracy50.0%
(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)))
✓accuracy100.0%
(*.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
✓accuracy100.0%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
✓accuracy99.6%
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓accuracy92.4%
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Samples
143.0ms58×2valid
42.0ms69×1valid
42.0ms123×0valid
16.0ms6×3valid
Compiler

Compiled 182 to 37 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-sin: 97.0ms (47.5% of total)
ival-cos: 35.0ms (17.2% of total)
ival-mult: 30.0ms (14.7% of total)
ival-div: 12.0ms (5.9% of total)
ival-add: 10.0ms (4.9% of total)
adjust: 9.0ms (4.4% of total)
const: 8.0ms (3.9% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
35.7MiB live, 73.5MiB allocated
Counts
19 → 396
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))>
#<alt (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 y z)>
#<alt (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))>
#<alt (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)>
#<alt (*.f64 y y)>
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))>
#<alt (sin.f64 y)>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))>
#<alt (*.f64 (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))))>
#<alt (neg.f64 z)>
#<alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal -1/2 binary64) (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 (/ 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 (/ 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 (* 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 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 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) (* 1/120 (* (pow y 2) z))))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))>
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))>
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))>
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))>
#<alt z>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))>
#<alt (* 1/120 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* 1/120 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<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 (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt 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>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt x>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ x z)))>
#<alt (* z (+ (sin y) (/ x z)))>
#<alt (* z (+ (sin y) (/ x z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))>
#<alt (* z (sin y))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (sin y)) x)))>
#<alt (* x (+ 1 (/ (* z (sin y)) x)))>
#<alt (* x (+ 1 (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (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 (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -11/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (/ (cos (* -2 y)) (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (/ -1/2 y)>
#<alt (/ (- (* -1/12 (pow y 2)) 1/2) y)>
#<alt (/ (- (* (pow y 2) (- (* -7/720 (pow y 2)) 1/12)) 1/2) y)>
#<alt (/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/30240 (pow y 2)) 7/720)) 1/12)) 1/2) y)>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
#<alt (/ -1/2 (sin y))>
Calls

99 calls:

TimeVariablePointExpression
6.0ms
z
@inf
(* z (+ (* (* y y) 1/120) -1/6))
4.0ms
z
@0
(* (neg z) (+ (* 1/2 (/ (cos (* y -2)) (sin y))) (/ -1/2 (sin y))))
2.0ms
x
@0
(* x 1)
1.0ms
z
@0
(* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z))
1.0ms
y
@inf
(+ (* 1/2 (/ (cos (* y -2)) (sin y))) (/ -1/2 (sin y)))

rewrite426.0ms (3.3%)

Memory
5.8MiB live, 591.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 766×lower-fma.f32
4 756×lower-fma.f64
4 180×lower-/.f32
4 172×lower-/.f64
3 936×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030138
056130
1206130
21388130
08409130
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 648
Calls
Call 1
Inputs
(/.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 y z)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(*.f64 x #s(literal 1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(sin.f64 y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
(*.f64 (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))))
(neg.f64 z)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
Outputs
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (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 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.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 (cos.f64 y) x) (*.f64 z (sin.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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (/.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 (cos.f64 y) x) (*.f64 z (sin.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 (cos.f64 y) x) (*.f64 z (sin.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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.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 (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(fma.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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (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 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(neg.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.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)))) (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)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) x)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.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 (cos.f64 y) x (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #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 #s(literal 2 binary64) y)))) (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)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) x)))))))
(/.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 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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)))) (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)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) x))))))))
(/.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 (cos.f64 y) x) (*.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 #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 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (-.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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (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 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(/.f64 (neg.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 (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
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(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
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(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
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(/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
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(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
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(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)))))
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(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64))))
(pow.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))

simplify450.0ms (3.5%)

Memory
-1.9MiB live, 721.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 200×lower-fma.f64
10 200×lower-fma.f32
6 242×lower-*.f64
6 242×lower-*.f32
3 148×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03904041
112133960
240483813
080843578
Stop Event
1×iter limit
1×node limit
Counts
396 → 376
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)))))
(/ 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))))
(+ (* 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))))
(/ 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)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -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))
(/ 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))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* 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))))
(+ (* 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))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
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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)))
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(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
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(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
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(+ x (* y (+ z (* -1/2 (* x y)))))
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(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))) z) x)
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
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(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 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 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 (* z (- (* 1/2 (/ (cos (* -2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -11/6 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal -11/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 127/360 binary64) #s(literal -11/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -221/15120 binary64) #s(literal 127/360 binary64)) #s(literal -11/6 binary64)) #s(literal 1 binary64)) y)
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(/ (cos (* -2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))
(* 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 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 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 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) y) y)
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) y) y)
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(/ (- (* -1/12 (pow y 2)) 1/2) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) y)
(/ (- (* (pow y 2) (- (* -7/720 (pow y 2)) 1/12)) 1/2) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/720 binary64) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/30240 (pow y 2)) 7/720)) 1/12)) 1/2) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/30240 binary64) #s(literal -7/720 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) y)
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))
(/ -1/2 (sin y))
(/.f64 #s(literal -1/2 binary64) (sin.f64 y))

eval152.0ms (1.2%)

Memory
-7.8MiB live, 339.2MiB allocated
Compiler

Compiled 27 834 to 2 395 computations (91.4% saved)

prune206.0ms (1.6%)

Memory
40.6MiB live, 382.5MiB allocated
Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New1 085171 102
Fresh71724
Picked235
Done044
Total1 094411 135
Accuracy
100.0%
Counts
1 135 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(fma.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z (*.f64 x #s(literal 1 binary64)))
57.5%
(fma.f64 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
79.9%
(fma.f64 (sin.f64 y) z x)
55.6%
(fma.f64 (cos.f64 y) x (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
▶66.8%
(fma.f64 (cos.f64 y) x (*.f64 y z))
79.8%
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) x) x) x)
✓55.0%
(fma.f64 z y x)
▶54.0%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
54.2%
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z) x)
48.0%
(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)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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))))
▶96.4%
(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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
61.7%
(/.f64 (fma.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 (neg.f64 z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.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)) x)) (*.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 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
30.4%
(/.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)))) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) x))
39.3%
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
▶26.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
60.8%
(/.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))
32.3%
(/.f64 #s(literal 1 binary64) (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 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
36.2%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
45.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
61.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
42.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
49.2%
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
9.4%
(*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 #s(literal 0 binary64) (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))))
27.5%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
✓27.0%
(*.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))))
▶86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
27.0%
(*.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)))
72.5%
(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
✓40.0%
(*.f64 z (sin.f64 y))
✓15.9%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
15.8%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) z))
16.1%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
16.1%
(*.f64 y (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
16.2%
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
39.4%
(*.f64 y (+.f64 z (/.f64 x y)))
✓15.9%
(*.f64 y z)
94.1%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
61.2%
(*.f64 x (cos.f64 y))
Compiler

Compiled 1 495 to 843 computations (43.6% saved)

simplify293.0ms (2.3%)

Memory
-26.6MiB live, 611.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 (cos.f64 y) z)
✓cost-diff0
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓cost-diff704
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 y z))
✓cost-diff0
(*.f64 y (*.f64 z (*.f64 y z)))
✓cost-diff0
(*.f64 x x)
✓cost-diff256
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z))))
✓cost-diff2048
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z)
✓cost-diff0
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
✓cost-diff0
(/.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))))
✓cost-diff0
(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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.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-diff704
(*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
Rules
8 480×lower-fma.f32
8 470×lower-fma.f64
4 092×lower-*.f32
4 066×lower-*.f64
1 940×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038301
074301
1152301
2311301
3652289
41185284
52349284
65313284
08081277
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.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)
(*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))
#s(literal -1 binary64)
(/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
y
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z)
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
z
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z))))
(*.f64 x x)
x
(*.f64 y (*.f64 z (*.f64 y z)))
y
(*.f64 z (*.f64 y z))
z
(*.f64 y z)
(-.f64 x (*.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(cos.f64 y)
y
x
(*.f64 y z)
z
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
z
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)
Outputs
(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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (fma.f64 x (cos.f64 (+.f64 y y)) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (sin.f64 y) (/.f64 (*.f64 z (*.f64 z (sin.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.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 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.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 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)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 (*.f64 z (*.f64 z (sin.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))
#s(literal -1 binary64)
(/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 z (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
y
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z)
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z)
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
z
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z))))
(*.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x))
(*.f64 x x)
x
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 y (*.f64 y (*.f64 z z)))
y
(*.f64 z (*.f64 y z))
(*.f64 y (*.f64 z z))
z
(*.f64 y z)
(-.f64 x (*.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(cos.f64 y)
y
x
(*.f64 y z)
z
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
z
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)

localize239.0ms (1.9%)

Memory
5.2MiB live, 308.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(/.f64 (cos.f64 y) z)
✓accuracy99.8%
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓accuracy86.6%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) x (*.f64 y z))
✓accuracy99.8%
(*.f64 z (*.f64 y z))
✓accuracy94.8%
(*.f64 y (*.f64 z (*.f64 y z)))
✓accuracy92.9%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z))))
✓accuracy42.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
✓accuracy100.0%
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z)
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
✓accuracy99.7%
(/.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))))
✓accuracy99.7%
(*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))
✓accuracy99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy95.5%
(*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
Samples
174.0ms256×0valid
Compiler

Compiled 310 to 44 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 51.0ms (42.7% of total)
ival-add: 39.0ms (32.6% of total)
ival-cos: 11.0ms (9.2% of total)
ival-div: 8.0ms (6.7% of total)
ival-sin: 5.0ms (4.2% of total)
ival-sub: 4.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series93.0ms (0.7%)

Memory
-4.9MiB live, 109.8MiB allocated
Counts
19 → 528
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))>
#<alt (/.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))))>
#<alt (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)>
#<alt (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z)>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))>
#<alt (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z))))>
#<alt (*.f64 x x)>
#<alt (*.f64 y (*.f64 z (*.f64 y z)))>
#<alt (fma.f64 (cos.f64 y) x (*.f64 y z))>
#<alt (cos.f64 y)>
#<alt (*.f64 y z)>
#<alt (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))>
#<alt (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))>
#<alt (/.f64 (cos.f64 y) z)>
#<alt (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))>
#<alt (*.f64 z (*.f64 y z))>
Outputs
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* x (cos y))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3))))))))))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))>
#<alt (* z (+ (sin y) (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2)))))))>
#<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)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)))))>
#<alt (* -1 (/ (* (pow y 2) (pow z 2)) x))>
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (* -1 (/ (pow z 2) x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* -1 (* 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)))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (+ (* -1 (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* 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))))))))))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* z (sin y)))>
#<alt (+ (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y)))>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))>
#<alt (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4))))))) x)>
#<alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))>
#<alt (* -1 (/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))>
#<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 (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (+ (cos y) (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y)))>
#<alt (+ (* x (+ (cos y) (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (+ (* x (- (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (/ (pow (cos y) 2) (* z (sin y)))))))) (* z (sin y)))>
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2))))))))>
#<alt (* x (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))))))))>
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#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 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 (pow x 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 x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))))>
#<alt (* y z)>
#<alt (* y (+ z (/ (* x (cos y)) y)))>
#<alt (* y (+ z (/ (* x (cos y)) y)))>
#<alt (* y (+ z (/ (* x (cos y)) y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x (cos y)) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x (cos y)) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x (cos y)) y)))))>
#<alt (* y z)>
#<alt (+ (* x (cos y)) (* y z))>
#<alt (+ (* x (cos y)) (* y z))>
#<alt (+ (* x (cos y)) (* y z))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* y z) x)))>
#<alt (* x (+ (cos y) (/ (* y z) x)))>
#<alt (* x (+ (cos y) (/ (* y z) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y z) x)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* y z))>
#<alt (+ (* x (cos y)) (* y z))>
#<alt (+ (* x (cos y)) (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ (* x (cos y)) z)))>
#<alt (* z (+ y (/ (* x (cos y)) z)))>
#<alt (* z (+ y (/ (* x (cos y)) z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x (cos y)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (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 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 (* 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) (/ (* x (cos y)) z)))>
#<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) (/ (* x (cos y)) z)))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (/ (* x (cos 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)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (/ x z)>
#<alt (+ y (/ x z))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))>
#<alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))>
#<alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<alt (* z (pow (sin y) 2))>
#<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))>
Calls

132 calls:

TimeVariablePointExpression
27.0ms
z
@inf
(/ (- (* x x) (* y (* z (* y z)))) (- x (* y z)))
13.0ms
x
@-inf
(* z (+ (* x (/ (cos y) z)) (sin y)))
6.0ms
z
@-inf
(* (* z (sin y)) (sin y))
5.0ms
y
@inf
(* (/ (* (* z (sin y)) (sin y)) -1) (/ z (- (* (cos y) x) (* z (sin y)))))
1.0ms
y
@-inf
(* (/ (* (* z (sin y)) (sin y)) -1) (/ z (- (* (cos y) x) (* z (sin y)))))

rewrite502.0ms (3.9%)

Memory
-18.4MiB live, 823.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 394×lower-*.f32
5 368×lower-*.f64
4 544×lower-/.f32
4 534×lower-/.f64
3 818×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038194
074194
1323156
22420156
09046155
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 863
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.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))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z)
(*.f64 x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z))))
(*.f64 x x)
(*.f64 y (*.f64 z (*.f64 y z)))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(cos.f64 y)
(*.f64 y z)
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))
(*.f64 z (*.f64 y z))
Outputs
(/.f64 (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z))
(/.f64 (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z) #s(literal 1 binary64)))
(/.f64 (/.f64 z (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (/.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (*.f64 z (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))
(/.f64 (*.f64 z (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))
(/.f64 (*.f64 z (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 z (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))
(/.f64 (*.f64 z (*.f64 (neg.f64 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) z) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(+.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z))
(+.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))))
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (sin.f64 y))
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (*.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) z) (sin.f64 y))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (*.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)))))
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) 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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)))))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (cos.f64 y))))
(/.f64 (cos.f64 y) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z)
(pow.f64 (/.f64 z (cos.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) z)
(*.f64 z (*.f64 z y))
(*.f64 y (*.f64 z z))
(*.f64 (*.f64 z y) z)
(*.f64 (*.f64 z z) y)

simplify490.0ms (3.8%)

Memory
6.1MiB live, 729.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 168×lower-fma.f64
10 168×lower-fma.f32
7 332×lower-*.f64
7 332×lower-*.f32
4 612×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08047503
128827272
083526889
Stop Event
1×iter limit
1×node limit
Counts
528 → 516
Calls
Call 1
Inputs
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* x (cos y))))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3))))))))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* z (+ (sin y) (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2)))))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (* -1 (/ (pow z 2) x))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* -1 (* 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 y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (+ (* -1 (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* 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 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* z (sin y)))
(+ (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y)))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4))))))) x)
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* -1 (/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))
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)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (+ (cos y) (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y)))
(+ (* x (+ (cos y) (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (+ (* x (- (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (/ (pow (cos y) 2) (* z (sin y)))))))) (* z (sin y)))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2))))))))
(* x (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))))))))
(* x (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))))))))))))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (+ (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (+ (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (* -1/2 x))) (* -1 z))))
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin 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)))))
(* -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)))))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (* x (cos 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)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(/ x z)
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (* x (cos y)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* 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))
(* 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))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
Outputs
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (*.f64 x (cos.f64 y))))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* x (cos y))))))
(*.f64 (*.f64 z z) (neg.f64 (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (cos.f64 y))))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))))))
(*.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (cos.f64 y))))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3))))))))))
(*.f64 (*.f64 z z) (fma.f64 z (-.f64 (*.f64 (neg.f64 z) (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) x)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (cos.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) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(*.f64 z (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) z)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (+ (sin y) (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2)))))))
(*.f64 z (+.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) z)) (/.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z z)))))))
(* 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)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)))))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 (*.f64 x (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y))) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)))))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) x) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) z)))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(/.f64 (*.f64 (*.f64 z (*.f64 y y)) z) (neg.f64 x))
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (* -1 (/ (pow z 2) x))))
(*.f64 (*.f64 y (neg.f64 y)) (fma.f64 y (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x x)) (/.f64 (*.f64 z z) x)))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* -1 (* 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)))))))
(*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) (fma.f64 y (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z z) x))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) x)) (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (+ (* -1 (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* 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))))))))))))
(*.f64 (*.f64 y y) (-.f64 (*.f64 y (-.f64 (*.f64 y (fma.f64 y (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))) x) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x x)) #s(literal -1/3 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x x)))) (/.f64 (*.f64 z z) x)))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (- (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(* 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) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* z (sin y)))
(fma.f64 x (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y)))) (cos.f64 y))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (*.f64 x (cos.f64 y))))
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 x))
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x))) x)
(/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4))))))) x)
(/.f64 (+.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))))) x)
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (*.f64 x (cos.f64 y))))
(* -1 (/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x))) x)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
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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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(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 z)) (/.f64 (sin.f64 y) x)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 z)) (/.f64 (sin.f64 y) x)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (neg.f64 z)) (/.f64 (sin.f64 y) x)))
(/ x z)
(/.f64 x z)
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (/.f64 x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)) (/.f64 x z))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) z)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 y y)) z) y) y)
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) z))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))) (*.f64 z #s(literal -1/3 binary64))) z))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* z (pow (sin y) 2))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)

eval293.0ms (2.3%)

Memory
15.9MiB live, 485.7MiB allocated
Compiler

Compiled 66 101 to 3 289 computations (95% saved)

prune579.0ms (4.5%)

Memory
-12.0MiB live, 515.0MiB allocated
Pruning

54 alts after pruning (45 fresh and 9 done)

PrunedKeptTotal
New1 449211 470
Fresh52429
Picked325
Done077
Total1 457541 511
Accuracy
100.0%
Counts
1 511 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(fma.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z (*.f64 x #s(literal 1 binary64)))
53.8%
(fma.f64 (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 (*.f64 y z))
53.8%
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 y z))
57.5%
(fma.f64 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) z (*.f64 x (cos.f64 y)))
45.7%
(fma.f64 (*.f64 y x) (/.f64 z x) x)
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
79.9%
(fma.f64 (sin.f64 y) z x)
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
79.8%
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) x) x) x)
✓55.0%
(fma.f64 z y x)
✓54.0%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
54.3%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
54.2%
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z) x)
16.1%
(fma.f64 y (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 z (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))) x)
38.2%
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) x)
40.8%
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
48.0%
(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)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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))))
38.1%
(fma.f64 x (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
30.4%
(/.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)))) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) x))
21.1%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) y))) (-.f64 x (*.f64 y z)))
11.9%
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y))))))
34.2%
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))))
60.8%
(/.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))
21.0%
(/.f64 (*.f64 x x) (-.f64 x (*.f64 y z)))
5.7%
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 y y)) z)) (-.f64 x (*.f64 y z)))
32.3%
(/.f64 #s(literal 1 binary64) (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 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
36.2%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
45.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
61.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
42.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
9.4%
(*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 #s(literal 0 binary64) (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))))
27.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
8.8%
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))
✓27.0%
(*.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))))
✓86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
53.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) y))
27.0%
(*.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)))
48.0%
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
35.5%
(*.f64 z (/.f64 x z))
72.5%
(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
✓40.0%
(*.f64 z (sin.f64 y))
✓15.9%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
15.8%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) z))
16.1%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
16.1%
(*.f64 y (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
16.2%
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
51.0%
(*.f64 y (fma.f64 x (/.f64 (cos.f64 y) y) z))
39.4%
(*.f64 y (+.f64 z (/.f64 x y)))
2.9%
(*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))
✓15.9%
(*.f64 y z)
94.1%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
61.2%
(*.f64 x (cos.f64 y))
40.7%
(neg.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
Compiler

Compiled 2 495 to 881 computations (64.7% saved)

regimes189.0ms (1.5%)

Memory
10.7MiB live, 165.2MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
(*.f64 y z)
(fma.f64 z y x)
(*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(neg.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 y (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 y z))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z 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 y (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 y y)) z)) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) y))) (-.f64 x (*.f64 y z)))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 (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 (*.f64 y z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(fma.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (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 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y))))))
(fma.f64 y (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 z (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))) x)
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (sin.f64 y) z x)
(fma.f64 (cos.f64 y) x (*.f64 y z))
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
(*.f64 y (fma.f64 x (/.f64 (cos.f64 y) y) z))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) y))
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) x) x) x)
(/.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 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(fma.f64 (cos.f64 y) x (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
(fma.f64 (cos.f64 y) x (*.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 (*.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 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) x))
(*.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))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.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 #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 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 #s(literal 0 binary64) (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 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(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)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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))))
(fma.f64 x (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.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)))) (*.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.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 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.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 (fma.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 (neg.f64 z)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.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)) x)) (*.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 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
Calls

4 calls:

54.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.0ms
x
40.0ms
z
39.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes68.0ms (0.5%)

Memory
2.3MiB live, 85.5MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
(*.f64 y z)
(fma.f64 z y x)
(*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(neg.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 y (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 y z))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z 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 y (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 y y)) z)) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) y))) (-.f64 x (*.f64 y z)))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 (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 (*.f64 y z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(fma.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (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 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y))))))
(fma.f64 y (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 z (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))) x)
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (sin.f64 y) z x)
(fma.f64 (cos.f64 y) x (*.f64 y z))
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
(*.f64 y (fma.f64 x (/.f64 (cos.f64 y) y) z))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) y))
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) x) x) x)
(/.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 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(fma.f64 (cos.f64 y) x (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
Outputs
(fma.f64 (sin.f64 y) z x)
(*.f64 x (cos.f64 y))
(fma.f64 (sin.f64 y) z x)
Calls

4 calls:

18.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
y
15.0ms
x
15.0ms
z
Results
AccuracySegmentsBranch
87.9%3x
82.3%2y
89.3%3z
79.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes102.0ms (0.8%)

Memory
-6.6MiB live, 70.9MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
(*.f64 y z)
(fma.f64 z y x)
(*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(neg.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 y (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 y z))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z 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 y (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 y y)) z)) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) y))) (-.f64 x (*.f64 y z)))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 (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 (*.f64 y z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(fma.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (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 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y))))))
(fma.f64 y (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 z (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))) x)
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 z (sin.f64 y))
(fma.f64 (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 (*.f64 y z))
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
Calls

4 calls:

40.0ms
z
37.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
66.0%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
81.0%4y
74.8%3x
77.8%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes43.0ms (0.3%)

Memory
2.7MiB live, 40.6MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
(*.f64 y z)
(fma.f64 z y x)
(*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(neg.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 y (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 y z))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z 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 y (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 y y)) z)) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) y))) (-.f64 x (*.f64 y z)))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 (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 (*.f64 y z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(fma.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (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 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y))))))
(fma.f64 y (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 z (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))) x)
(*.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:

19.0ms
z
11.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
70.4%3x
68.5%3z
74.5%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes66.0ms (0.5%)

Memory
-14.4MiB live, 50.4MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 y z)
(fma.f64 z y x)
(*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(neg.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 y (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 y z))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z 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 y (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 y y)) z)) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) y))) (-.f64 x (*.f64 y z)))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 (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 (*.f64 y z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(fma.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (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 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 x x (*.f64 y (*.f64 z (*.f64 z y))))))
(fma.f64 y (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 z (-.f64 z (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))) x)
Outputs
(fma.f64 z y x)
Calls

4 calls:

32.0ms
x
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
z
10.0ms
y
Results
AccuracySegmentsBranch
55.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
55.0%1z
55.0%1x
55.0%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y z)
Outputs
(*.f64 y z)
Calls

4 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
15.9%1y
15.9%1z
15.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.9%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch66.0ms (0.5%)

Memory
4.3MiB live, 43.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
4.716546795618427e-155
3.998172522527021e-137
44.0ms
-1.2252074260590615e-12
-1.8423111635843712e-16
Samples
53.0ms288×0valid
Compiler

Compiled 321 to 230 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (39.1% of total)
ival-sin: 5.0ms (27.9% of total)
ival-mult: 4.0ms (22.4% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch99.0ms (0.8%)

Memory
-29.9MiB live, 88.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
6.468812622142273e+190
1.1706808575724772e+196
26.0ms
0.05697368627319835
986002768.7319077
38.0ms
-168601.82275955408
-3.155191205944546e-9
Samples
60.0ms464×0valid
Compiler

Compiled 819 to 522 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-cos: 31.0ms (63.8% of total)
ival-sin: 9.0ms (18.5% of total)
ival-mult: 6.0ms (12.3% of total)
ival-add: 2.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory
33.4MiB live, 72.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
0.04248925675235628
0.05697368627319835
23.0ms
-156611155751.32388
-168601.82275955408
Samples
19.0ms192×0valid
Compiler

Compiled 327 to 218 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (35.4% of total)
ival-sin: 5.0ms (35.4% of total)
ival-mult: 2.0ms (14.2% of total)
ival-add: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
-15.0MiB live, 24.2MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047112
154112
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 y #s(literal -5764607523034235/18014398509481984 binary64)) (*.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (fma.f64 (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 (*.f64 y z)) (if (<=.f64 y #s(literal 36500000000000001302932379288446744888473784303630797018559916430905762163457489976389144283829475717332063042408501638827539291519478554194514048468416942318124995737323493504590879644408872960 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -170000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 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)
(*.f64 y z)
Outputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 z #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 y #s(literal -5764607523034235/18014398509481984 binary64)) (*.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (fma.f64 (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 (*.f64 y z)) (if (<=.f64 y #s(literal 36500000000000001302932379288446744888473784303630797018559916430905762163457489976389144283829475717332063042408501638827539291519478554194514048468416942318124995737323493504590879644408872960 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -5764607523034235/18014398509481984 binary64)) (*.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (fma.f64 (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 (*.f64 y z)) (if (<=.f64 y #s(literal 36500000000000001302932379288446744888473784303630797018559916430905762163457489976389144283829475717332063042408501638827539291519478554194514048468416942318124995737323493504590879644408872960 binary64)) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -170000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 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 -170000 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 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 (cos.f64 y) x)))
(fma.f64 z y x)
(*.f64 y z)

soundness1.4s (11%)

Memory
18.1MiB live, 839.9MiB allocated
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
10 168×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08047503
128827272
083526889
0819
01319
12919
218519
3183619
0838618
030138
056130
1206130
21388130
08409130
09198148
132827873
082057578
093620
1295616
2892610
32078604
43746604
56389604
08805554
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 265 to 141 computations (46.8% saved)

preprocess114.0ms (0.9%)

Memory
5.3MiB live, 126.6MiB allocated
Compiler

Compiled 254 to 108 computations (57.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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