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

Time bar (total: 12.7s)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (14.3%)

Memory
22.9MiB live, 1 629.6MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 630.0ms
ival-sin: 243.0ms (38.6% of total)
ival-cos: 212.0ms (33.7% of total)
ival-mult: 124.0ms (19.7% of total)
ival-add: 40.0ms (6.4% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess71.0ms (0.6%)

Memory
-14.1MiB live, 62.2MiB allocated
Algorithm
egg-herbie
Rules
180×associate-*r*
160×unsub-neg
142×associate-*l*
136×distribute-lft-neg-in
110×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
569381
687181
795781
8103881
9110481
10111881
11112381
12112581
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

explain150.0ms (1.2%)

Memory
3.1MiB live, 203.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
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
98.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 35.0ms (49.7% of total)
ival-sin: 18.0ms (25.6% of total)
ival-cos: 15.0ms (21.3% of total)
ival-add: 2.0ms (2.8% 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
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Rules
lower-fma.f64
lower-fma.f32
lower-*.f32
*-commutative
lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)

localize37.0ms (0.3%)

Memory
-32.2MiB live, 82.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy99.7%
(*.f64 z (cos.f64 y))
Samples
26.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (37.5% of total)
ival-cos: 5.0ms (31.2% of total)
ival-mult: 3.0ms (18.7% of total)
ival-add: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
Outputs
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (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)>
Calls

27 calls:

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

rewrite493.0ms (3.9%)

Memory
11.7MiB live, 798.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 070×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3183621
0839120
Stop Event
iter limit
node limit
iter limit
Counts
5 → 177
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (cos.f64 y)) (*.f64 x (sin.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 (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.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 (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (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 (cos.f64 y)) (*.f64 x (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 (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (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 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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #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 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #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 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)

simplify386.0ms (3%)

Memory
-3.5MiB live, 569.5MiB allocated
Algorithm
egg-herbie
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
4 718×lower-*.f64
4 718×lower-*.f32
2 178×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2991668
32652662
44669662
56964662
08196606
Stop Event
iter limit
node limit
Counts
108 → 105
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (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)
(* 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 (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (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)
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (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 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval64.0ms (0.5%)

Memory
-15.1MiB live, 60.4MiB allocated
Compiler

Compiled 10 107 to 557 computations (94.5% saved)

prune44.0ms (0.3%)

Memory
-4.8MiB live, 87.5MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New26814282
Fresh000
Picked101
Done000
Total26914283
Accuracy
99.9%
Counts
283 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
51.7%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
51.4%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
52.9%
(fma.f64 y x z)
50.5%
(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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
20.2%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
32.2%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
40.7%
(/.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 (cos.f64 y)) (*.f64 x (sin.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
74.2%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
23.7%
(*.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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
63.8%
(*.f64 z (cos.f64 y))
37.8%
(*.f64 x (sin.f64 y))
Compiler

Compiled 842 to 384 computations (54.4% saved)

simplify361.0ms (2.8%)

Memory
3.4MiB live, 468.6MiB allocated
Algorithm
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 (sin.f64 y)) (*.f64 z (cos.f64 y))))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff14400
(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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(fma.f64 y x z)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Rules
10 010×lower-fma.f32
10 002×lower-fma.f64
3 332×lower-*.f32
3 320×lower-*.f64
1 816×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027257
052253
196251
2193251
3550251
41841250
54632240
67517240
08012234
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(fma.f64 y x z)
y
x
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
x
(-.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 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
z
(cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 z z)
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(fma.f64 y x z)
y
x
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (fma.f64 z (neg.f64 (fma.f64 z (cos.f64 (+.f64 y y)) z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
x
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (fma.f64 z (cos.f64 (+.f64 y y)) z))
(*.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (fma.f64 z (cos.f64 (+.f64 y y)) z))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))
(*.f64 z z)

localize225.0ms (1.8%)

Memory
32.3MiB live, 430.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy98.2%
(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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
accuracy95.8%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy74.0%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy63.8%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy99.8%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy100.0%
(fma.f64 y x z)
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Samples
87.0ms79×1valid
43.0ms129×0valid
35.0ms48×2valid
Compiler

Compiled 265 to 32 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-cos: 56.0ms (40.8% of total)
ival-sin: 23.0ms (16.8% of total)
ival-mult: 20.0ms (14.6% of total)
adjust: 12.0ms (8.8% of total)
ival-div: 10.0ms (7.3% of total)
ival-add: 9.0ms (6.6% of total)
ival-sub: 4.0ms (2.9% of total)
ival-neg: 2.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.4%)

Memory
-6.1MiB live, 104.4MiB allocated
Counts
14 → 384
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (fma.f64 y x z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))>
#<alt (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))>
#<alt (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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y))))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
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#<alt (- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (+ (* x (- (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
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#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))>
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#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
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#<alt z>
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#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
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#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
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#<alt (+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt z>
#<alt (- (* x y) (* -1 z))>
#<alt (- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z))>
#<alt (- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (* (pow z 2) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* (pow z 2) (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* (pow z 2) (- (* z (+ (* -1 (/ (* z (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* (pow z 2) (- (* z (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (sin y) 3)))))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) (pow z 2))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4)))) (pow z 3))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))>
#<alt (/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))>
#<alt (* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin 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 (/ (pow z 2) (* x (sin y)))>
#<alt (* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))>
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))>
#<alt (* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (* x y)))>
#<alt (+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
Calls

96 calls:

TimeVariablePointExpression
8.0ms
z
@inf
(+ (* y x) z)
5.0ms
y
@inf
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
4.0ms
z
@0
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms
y
@-inf
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms
x
@inf
(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))

rewrite1.7s (13.2%)

Memory
4.2MiB live, 1 441.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 918×lower-/.f32
5 910×lower-/.f64
5 154×lower-*.f32
5 142×lower-*.f64
3 802×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027157
052116
120898
2150098
0896298
Stop Event
iter limit
node limit
iter limit
Counts
14 → 2 636
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
(*.f64 x (sin.f64 y))
(sin.f64 y)
(fma.f64 y x z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))
(+.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) #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 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 (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #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 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 (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(-.f64 (fma.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) #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 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 (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #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 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 (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) #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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (neg.f64 z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) #s(literal -1 binary64) (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (*.f64 x (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))
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(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))))) (/.f64 z (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) x))
(/.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))) x) (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))))))) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (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 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.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)))
(*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(*.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))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.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 #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 x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 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 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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))))))) (cos.f64 y)) (/.f64 x (cos.f64 y)))
(*.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 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 x #s(literal 1/2 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 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 x (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 x (cos.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))))))) (cos.f64 y)))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 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))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 x (-.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 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 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))))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (/.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)))
(*.f64 (/.f64 x (/.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))))

simplify474.0ms (3.7%)

Memory
42.1MiB live, 700.5MiB allocated
Algorithm
egg-herbie
Rules
7 918×lower-fma.f64
7 918×lower-fma.f32
6 238×lower-*.f64
6 238×lower-*.f32
4 448×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08937729
132107475
081337109
Stop Event
iter limit
node limit
Counts
384 → 374
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (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)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))
(/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))
(* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin 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)))))
(/ (pow z 2) (* x (sin y)))
(* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))
(* -1 (/ z (cos y)))
(* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))
(* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))
(* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))
(* -1 (/ z (cos y)))
(* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))
(* -1 (/ z (cos y)))
(+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))
(+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))
(+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))
(/ (pow z 2) (* x (sin y)))
(/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)
(/ (pow z 2) (* x (sin y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 z)
(+ (* -1 z) (* -1 (* x y)))
(+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (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)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (neg.f64 z) x) y)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (neg.f64 z) x) y)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (neg.f64 z) x) y)))
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z)
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
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(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))

eval561.0ms (4.4%)

Memory
43.5MiB live, 1 041.5MiB allocated
Compiler

Compiled 212 177 to 4 817 computations (97.7% saved)

prune633.0ms (5%)

Memory
-46.5MiB live, 739.9MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New3 170313 201
Fresh819
Picked235
Done000
Total3 180353 215
Accuracy
100.0%
Counts
3 215 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.9%
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (*.f64 z (neg.f64 z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
59.0%
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 z))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
50.6%
(fma.f64 z (/.f64 (*.f64 x y) z) z)
51.7%
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
52.9%
(fma.f64 y x z)
74.2%
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
48.8%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
19.3%
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
28.2%
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
63.5%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
23.2%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
63.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z))
33.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
51.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)))
63.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
37.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
38.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
33.8%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
52.9%
(+.f64 (*.f64 y x) z)
19.2%
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
31.2%
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
92.7%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
63.5%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
63.8%
(*.f64 z (cos.f64 y))
17.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
17.4%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
17.4%
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
40.4%
(*.f64 y (+.f64 x (/.f64 z y)))
85.8%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
17.3%
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
47.3%
(*.f64 x (+.f64 y (/.f64 z x)))
37.8%
(*.f64 x (sin.f64 y))
17.6%
(*.f64 x y)
Compiler

Compiled 1 177 to 690 computations (41.4% saved)

simplify284.0ms (2.2%)

Memory
18.7MiB live, 377.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))
cost-diff0
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
cost-diff320
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff1024
(fma.f64 z (/.f64 (*.f64 x y) z) z)
cost-diff0
(*.f64 x y)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff704
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
Rules
7 902×lower-fma.f32
7 894×lower-fma.f64
5 176×lower-*.f32
5 154×lower-*.f64
3 182×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030203
057197
1109187
2196187
3310186
4435181
5668181
62376181
75993181
08115174
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
z
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)
(*.f64 x y)
x
y
(fma.f64 z (/.f64 (*.f64 x y) z) z)
z
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))
(*.f64 y x)
y
x
(*.f64 y (*.f64 x (*.f64 y x)))
(*.f64 x (*.f64 y x))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))
(*.f64 z (-.f64 z (*.f64 y x)))
(-.f64 z (*.f64 y x))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)
Outputs
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
z
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)
(*.f64 x y)
x
y
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(fma.f64 x y z)
z
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (fma.f64 x (*.f64 y (-.f64 (*.f64 x y) z)) (*.f64 z z)))
(fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 y (*.f64 x (*.f64 y x)))
(*.f64 y (*.f64 x (*.f64 x y)))
(*.f64 x (*.f64 y x))
(*.f64 x (*.f64 x y))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))
(fma.f64 x (*.f64 y (-.f64 (*.f64 x y) z)) (*.f64 z z))
(*.f64 z (-.f64 z (*.f64 y x)))
(*.f64 z (-.f64 z (*.f64 x y)))
(-.f64 z (*.f64 y x))
(-.f64 z (*.f64 x y))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)

localize232.0ms (1.8%)

Memory
-4.4MiB live, 308.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
accuracy95.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
accuracy91.4%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
accuracy74.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
accuracy94.5%
(fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))
accuracy93.5%
(*.f64 y (*.f64 x (*.f64 y x)))
accuracy90.8%
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))
accuracy33.3%
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
accuracy100.0%
(*.f64 x y)
accuracy92.9%
(fma.f64 z (/.f64 (*.f64 x y) z) z)
accuracy90.5%
(/.f64 (*.f64 x y) z)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy99.9%
(/.f64 (sin.f64 y) z)
accuracy92.7%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
Samples
82.0ms72×2valid
48.0ms129×0valid
45.0ms44×1valid
10.0ms11×3valid
Compiler

Compiled 212 to 35 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 85.0ms (57.2% of total)
ival-cos: 25.0ms (16.8% of total)
adjust: 11.0ms (7.4% of total)
ival-div: 10.0ms (6.7% of total)
ival-add: 8.0ms (5.4% of total)
ival-sin: 7.0ms (4.7% of total)
ival-sub: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
4.6MiB live, 79.2MiB allocated
Counts
18 → 456
Calls
Call 1
Inputs
#<alt (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))>
#<alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) z)>
#<alt (sin.f64 y)>
#<alt (*.f64 x y)>
#<alt (fma.f64 z (/.f64 (*.f64 x y) z) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))>
#<alt (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))>
#<alt (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))>
#<alt (*.f64 y x)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))>
#<alt (cos.f64 y)>
#<alt (*.f64 y (*.f64 x (*.f64 y x)))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
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#<alt z>
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#<alt (cos y)>
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#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
Calls

114 calls:

TimeVariablePointExpression
9.0ms
y
@0
(/ (sin y) z)
4.0ms
x
@0
(/ (* x (+ 1/2 (* -1/2 (cos (* y -2))))) (sin y))
2.0ms
y
@inf
(/ (+ (* (* y x) (* y (* x (* y x)))) (* z (* z z))) (+ (* y (* x (* y x))) (* z (- z (* y x)))))
1.0ms
z
@0
(/ (+ (* (* y x) (* y (* x (* y x)))) (* z (* z z))) (+ (* y (* x (* y x))) (* z (- z (* y x)))))
1.0ms
y
@-inf
(/ (* x (+ 1/2 (* -1/2 (cos (* y -2))))) (sin y))

rewrite415.0ms (3.3%)

Memory
9.8MiB live, 606.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 728×lower-fma.f32
9 720×lower-fma.f64
4 292×lower-*.f32
4 270×lower-*.f64
3 446×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030154
057129
1211121
21435115
08550109
Stop Event
iter limit
node limit
iter limit
Counts
18 → 744
Calls
Call 1
Inputs
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 x y)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 x y) z)
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))
(*.f64 y x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(cos.f64 y)
(*.f64 y (*.f64 x (*.f64 y x)))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
Outputs
(+.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z))
(fma.f64 z (/.f64 (*.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y)))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z))
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) z) z (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (*.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (fma.f64 (*.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 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (*.f64 (*.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 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) (*.f64 z (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (fma.f64 (*.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 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (fma.f64 (*.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 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (*.f64 (*.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 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)) (neg.f64 (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #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 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (fma.f64 (*.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 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y))))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 x (sin.f64 y))) z) #s(literal 2 binary64)) (*.f64 (*.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 z (*.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))) (/.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y))
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(fma.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y))
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(fma.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) z) (cos.f64 y))
(fma.f64 (*.f64 x (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) z) (cos.f64 y))
(fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal 1 binary64)))
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simplify302.0ms (2.4%)

Memory
13.6MiB live, 513.6MiB allocated
Algorithm
egg-herbie
Rules
5 530×lower-fma.f64
5 530×lower-fma.f32
4 916×lower-*.f64
4 916×lower-*.f32
1 388×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04643691
116063626
256903571
084313357
Stop Event
iter limit
node limit
Counts
456 → 446
Calls
Call 1
Inputs
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(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* (pow x 3) (pow y 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(pow z 3)
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(* x y)
(* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* -2 y)))))
-1/2
(- (pow y 2) 1/2)
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
(* -1/2 (cos (* -2 y)))
1
(+ 1 (* -1/2 (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)
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 x (/.f64 y z) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 (/.f64 y z) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(fma.f64 y (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (fma.f64 y (*.f64 y (/.f64 #s(literal 1/120 binary64) z)) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y (*.f64 y y)) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) z))) (/.f64 #s(literal -1/6 binary64) z))) (/.f64 y z))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(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 y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x (*.f64 (/.f64 y z) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x (*.f64 (/.f64 y z) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x (*.f64 (/.f64 y z) z) z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 z) z)
z
(+ z (* x y))
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-1/2
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(* -1/2 (cos (* -2 y)))
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1
#s(literal 1 binary64)
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(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(cos y)
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(cos y)
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(cos y)
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(cos y)
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1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))

eval197.0ms (1.5%)

Memory
-47.9MiB live, 501.6MiB allocated
Compiler

Compiled 43 110 to 2 509 computations (94.2% saved)

prune217.0ms (1.7%)

Memory
8.2MiB live, 348.3MiB allocated
Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New1 426241 450
Fresh81927
Picked415
Done033
Total1 438471 485
Accuracy
100.0%
Counts
1 485 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.4%
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y)))
31.9%
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (*.f64 z (neg.f64 z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
50.5%
(fma.f64 z (/.f64 x (/.f64 z y)) z)
50.6%
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z)
47.6%
(fma.f64 z (*.f64 y (/.f64 x z)) z)
51.7%
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
51.4%
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
52.9%
(fma.f64 y x z)
74.2%
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
48.8%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
18.5%
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x y) (/.f64 (*.f64 x y) z)) z) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
6.8%
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x (*.f64 y y))))
23.1%
(/.f64 (fma.f64 (*.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 y))
16.9%
(/.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
23.2%
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 y))
77.0%
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))
4.0%
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
63.5%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
13.0%
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
16.1%
(/.f64 (*.f64 z (*.f64 x y)) z)
15.3%
(/.f64 z (/.f64 z (*.f64 x y)))
92.5%
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
63.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
37.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
38.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
33.8%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
19.2%
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
15.3%
(*.f64 (/.f64 (*.f64 x y) z) z)
14.3%
(*.f64 (*.f64 z x) (/.f64 y z))
89.7%
(*.f64 z (fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y)))
46.3%
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
67.1%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
63.5%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
63.8%
(*.f64 z (cos.f64 y))
38.9%
(*.f64 z #s(literal 1 binary64))
17.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
17.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
17.4%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
17.4%
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
40.4%
(*.f64 y (+.f64 x (/.f64 z y)))
85.8%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
17.3%
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
47.3%
(*.f64 x (+.f64 y (/.f64 z x)))
37.8%
(*.f64 x (sin.f64 y))
17.6%
(*.f64 x y)
Compiler

Compiled 1 607 to 912 computations (43.2% saved)

simplify434.0ms (3.4%)

Memory
-0.6MiB live, 589.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)
cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
cost-diff320
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
cost-diff320
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 y (/.f64 x z))
cost-diff1024
(fma.f64 z (*.f64 y (/.f64 x z)) z)
cost-diff320
(*.f64 z #s(literal 1 binary64))
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
cost-diff1792
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
Rules
18 224×lower-fma.f32
18 214×lower-fma.f64
5 066×lower-*.f32
5 050×lower-*.f64
4 152×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028181
054175
1108169
2331169
3930162
41667162
52995162
65151162
76090162
86536162
96603162
106603162
08581153
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
z
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
#s(literal 1 binary64)
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)
(*.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(fma.f64 z (*.f64 y (/.f64 x z)) z)
z
(*.f64 y (/.f64 x z))
y
(/.f64 x z)
x
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
y
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)
(*.f64 y y)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(*.f64 x (*.f64 y y))
x
#s(literal -1/5040 binary64)
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
Outputs
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
#s(literal 1 binary64)
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)
(*.f64 z #s(literal 1 binary64))
z
z
#s(literal 1 binary64)
(fma.f64 z (*.f64 y (/.f64 x z)) z)
(fma.f64 x y z)
z
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
y
(/.f64 x z)
x
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (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))) x))
y
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 y y) (*.f64 x (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))) x)
(*.f64 y y)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (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)))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 x (*.f64 y y))
x
#s(literal -1/5040 binary64)
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y

localize144.0ms (1.1%)

Memory
-11.1MiB live, 77.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
accuracy98.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
accuracy99.9%
(*.f64 x #s(literal 1/120 binary64))
accuracy99.9%
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy92.2%
(*.f64 x (*.f64 y y))
accuracy100.0%
(/.f64 x z)
accuracy92.9%
(fma.f64 z (*.f64 y (/.f64 x z)) z)
accuracy91.6%
(*.f64 y (/.f64 x z))
accuracy100.0%
(*.f64 z #s(literal 1 binary64))
accuracy99.9%
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy99.9%
(/.f64 (sin.f64 y) z)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
accuracy93.1%
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
Samples
98.0ms256×0valid
Compiler

Compiled 196 to 35 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 42.0ms (52.5% of total)
ival-div: 10.0ms (12.5% of total)
const: 9.0ms (11.2% of total)
ival-sin: 7.0ms (8.7% of total)
ival-add: 5.0ms (6.2% of total)
ival-cos: 5.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-9.7MiB live, 27.2MiB allocated
Counts
19 → 468
Calls
Call 1
Inputs
#<alt (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))>
#<alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) z)>
#<alt (*.f64 z #s(literal 1 binary64))>
#<alt (fma.f64 z (*.f64 y (/.f64 x z)) z)>
#<alt (*.f64 y (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))>
#<alt (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))>
#<alt (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 x (*.f64 y y))>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal 1/120 binary64))>
Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (/ 1 (cos y))>
#<alt (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y)))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))) (/ (sin y) (* z (pow (cos y) 2))))) (/ 1 (cos y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))) (/ (sin y) (* z (pow (cos y) 2))))) (/ 1 (cos y)))>
#<alt (/ z (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) (/ z (sin y))) x)>
#<alt (/ (- (+ (/ z (sin y)) (/ (* (pow z 3) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 4) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ z (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ z (* x (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ z (sin y))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* (pow z 2) (cos y)) (pow (sin y) 2))) x))) x))>
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#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
Calls

117 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* (* y y) (+ (* (* x (* y y)) -1/5040) (* x 1/120))) (* x -1/6))
1.0ms
x
@0
(+ (* (* y y) (+ (* (* x (* y y)) -1/5040) (* x 1/120))) (* x -1/6))
1.0ms
x
@-inf
(* y (+ (* (* y y) (+ (* (* y y) (+ (* (* x (* y y)) -1/5040) (* x 1/120))) (* x -1/6))) x))
1.0ms
x
@0
(* y (+ (* (* y y) (+ (* (* y y) (+ (* (* x (* y y)) -1/5040) (* x 1/120))) (* x -1/6))) x))
1.0ms
x
@inf
(* y (+ (* (* y y) (+ (* (* y y) (+ (* (* x (* y y)) -1/5040) (* x 1/120))) (* x -1/6))) x))

rewrite570.0ms (4.5%)

Memory
22.6MiB live, 373.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 246×lower-fma.f32
8 236×lower-fma.f64
4 652×lower-*.f32
4 636×lower-*.f64
3 604×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028157
054151
1209145
21585145
08222141
Stop Event
iter limit
node limit
iter limit
Counts
19 → 673
Calls
Call 1
Inputs
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
(*.f64 z #s(literal 1 binary64))
(fma.f64 z (*.f64 y (/.f64 x z)) z)
(*.f64 y (/.f64 x z))
(/.f64 x z)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 x (*.f64 y y))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(+.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(+.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (neg.f64 z)))
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) z)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z (*.f64 (cos.f64 y) z))
(neg.f64 (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (neg.f64 z)))
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))))
(/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)) (-.f64 (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z))) (-.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) #s(literal -1 binary64))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(*.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(*.f64 (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (/.f64 z (pow.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal -1/2 binary64))) (/.f64 z (pow.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 z (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 z (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal -1 binary64))
(/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(pow.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))
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(/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64))
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(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
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(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x y) y)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)

simplify676.0ms (5.3%)

Memory
18.2MiB live, 454.4MiB allocated
Algorithm
egg-herbie
Rules
10 164×lower-fma.f64
10 164×lower-fma.f32
6 958×lower-*.f64
6 958×lower-*.f32
2 852×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03934498
113404406
245864297
085704008
Stop Event
iter limit
node limit
Counts
468 → 449
Calls
Call 1
Inputs
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(+ (* x (sin y)) (* z (cos y)))
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(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
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(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
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z
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(* z (+ (cos y) (/ (* x (sin y)) z)))
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(/ (+ (* -1 (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) (/ z (sin y))) x)
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(/ (- (+ (* -1 (/ (* (pow z 4) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ z (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2))))) x)
(/ z (* x (sin y)))
(* -1 (/ (+ (* -1 (/ z (sin y))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) x))
(* -1 (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* (pow z 2) (cos y)) (pow (sin y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 3) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* (pow z 2) (cos y)) (pow (sin y) 2))) x))) x))
1
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(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
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(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/ z (* x (sin y)))
(* z (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))))
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(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
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(/ (sin y) z)
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(/ (sin y) z)
(/ (sin y) z)
z
z
z
z
z
z
z
z
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z
z
z
(* x y)
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(* z (+ 1 (/ (* x y) z)))
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(* z (+ 1 (/ (* x y) z)))
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(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
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(+ z (* x y))
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(/ x z)
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(* -1/5040 (* x (pow y 4)))
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(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
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(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* -1 (* x (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))))
(* -1 (* x (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))))
(* -1 (* x (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))))
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(* x (+ 1/120 (* -1/5040 (pow y 2))))
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(* x (+ 1/120 (* -1/5040 (pow y 2))))
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(* x (+ 1/120 (* -1/5040 (pow y 2))))
(* x (+ 1/120 (* -1/5040 (pow y 2))))
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(* 1/120 x)
(+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))
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(+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))
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(* -1/5040 (* x (pow y 2)))
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(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x y))
(/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y)))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))) (/ (sin y) (* z (pow (cos y) 2))))) (/ 1 (cos y)))
(fma.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))) (/ (sin y) (* z (pow (cos y) 2))))) (/ 1 (cos y)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/ z (* x (sin y)))
(/.f64 z (*.f64 x (sin.f64 y)))
(/ (+ (* -1 (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) (/ z (sin y))) x)
(-.f64 (/.f64 z (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (*.f64 z (cos.f64 y))) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(/ (- (+ (/ z (sin y)) (/ (* (pow z 3) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) x)
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 (*.f64 z z) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 z (sin.f64 y)))) x)
(/ (- (+ (* -1 (/ (* (pow z 4) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ z (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2))))) x)
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 (*.f64 z z) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 z (sin.f64 y))))) x)
(/ z (* x (sin y)))
(/.f64 z (*.f64 x (sin.f64 y)))
(* -1 (/ (+ (* -1 (/ z (sin y))) (/ (* (pow z 2) (cos y)) (* x (pow (sin y) 2)))) x))
(neg.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (cos.f64 y))) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 z (*.f64 x (sin.f64 y)))))
(* -1 (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* (pow z 2) (cos y)) (pow (sin y) 2))) x))) x))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 (*.f64 z z) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 z (sin.f64 y)))) x)
(* -1 (/ (+ (* -1 (/ z (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 3) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* (pow z 2) (cos y)) (pow (sin y) 2))) x))) x))
(/.f64 (+.f64 (/.f64 z (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 z (*.f64 z (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z z))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* x y) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(+ 1 (* y (- (* y (- 1/2 (* -1 (/ (pow x 2) (pow z 2))))) (/ x z))))
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 x (neg.f64 z))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (+ 1/2 (* -1 (* y (+ (* -1/6 (/ x z)) (+ (* 1/2 (/ x z)) (/ (* x (- 1/2 (* -1 (/ (pow x 2) (pow z 2))))) z)))))) (* -1 (/ (pow x 2) (pow z 2))))) (/ x z))))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) #s(literal 1/3 binary64))) (neg.f64 y) (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal 1/2 binary64))) (/.f64 x (neg.f64 z))) #s(literal 1 binary64))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ 1 (+ (cos y) (/ (* x (sin y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/ z (* x (sin y)))
(/.f64 z (*.f64 x (sin.f64 y)))
(* z (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))))
(fma.f64 z (/.f64 (*.f64 z (cos.f64 y)) (neg.f64 (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 z (*.f64 x (sin.f64 y))))
(* z (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))))
(fma.f64 (*.f64 z z) (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (cos.f64 y) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 z (*.f64 x (sin.f64 y))))
(* z (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))))
(fma.f64 z (*.f64 z (fma.f64 z (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (/.f64 z (*.f64 x (sin.f64 y))))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y)))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))
(fma.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))))
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(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 #s(literal 7/360 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) x))) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) y)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (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))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(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 (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))

eval168.0ms (1.3%)

Memory
-12.0MiB live, 384.5MiB allocated
Compiler

Compiled 29 447 to 2 541 computations (91.4% saved)

prune171.0ms (1.3%)

Memory
14.5MiB live, 487.2MiB allocated
Pruning

53 alts after pruning (47 fresh and 6 done)

PrunedKeptTotal
New1 124181 142
Fresh92938
Picked325
Done044
Total1 136531 189
Accuracy
100.0%
Counts
1 189 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x)) z)
31.9%
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (*.f64 z (neg.f64 z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
47.9%
(fma.f64 z (/.f64 y (/.f64 z x)) z)
50.5%
(fma.f64 z (/.f64 x (/.f64 z y)) z)
50.6%
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z)
47.6%
(fma.f64 z (*.f64 y (/.f64 x z)) z)
51.7%
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
51.4%
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
52.9%
(fma.f64 y x z)
74.2%
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
39.4%
(/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z)))
30.2%
(/.f64 (fma.f64 z (/.f64 z x) (*.f64 z y)) (/.f64 z x))
47.4%
(/.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
92.5%
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) z))
23.2%
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 y))
77.0%
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))
63.5%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
13.0%
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
16.1%
(/.f64 (*.f64 z (*.f64 x y)) z)
37.7%
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
15.3%
(/.f64 z (/.f64 z (*.f64 x y)))
63.7%
(/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
38.0%
(/.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
17.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
37.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
37.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
63.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
37.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
38.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
33.8%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
46.4%
(+.f64 (/.f64 (*.f64 (*.f64 z y) x) z) z)
19.2%
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
15.3%
(*.f64 (/.f64 (*.f64 x y) z) z)
14.3%
(*.f64 (*.f64 z x) (/.f64 y z))
46.3%
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
67.1%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
63.5%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
63.8%
(*.f64 z (cos.f64 y))
17.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
17.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
17.4%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
17.2%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) x))
17.4%
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
17.4%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
17.2%
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) x))))
40.4%
(*.f64 y (+.f64 x (/.f64 z y)))
85.8%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
47.3%
(*.f64 x (+.f64 y (/.f64 z x)))
37.8%
(*.f64 x (sin.f64 y))
17.6%
(*.f64 x y)
38.9%
z
Compiler

Compiled 2 298 to 813 computations (64.6% saved)

regimes134.0ms (1%)

Memory
-7.2MiB live, 287.8MiB allocated
Counts
88 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 z x) (/.f64 y z))
(*.f64 (/.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 z (*.f64 x y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 z (*.f64 y (/.f64 x z)) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(+.f64 (/.f64 (*.f64 (*.f64 z y) x) z) z)
(/.f64 z (/.f64 z (*.f64 x y)))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 x (/.f64 z y)) z)
(fma.f64 z (/.f64 y (/.f64 z x)) z)
(/.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
(/.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) x))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 (fma.f64 z (/.f64 z x) (*.f64 z y)) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)))
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) x))))
(/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x y) (/.f64 (*.f64 x y) z)) z) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 z (fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(/.f64 (fma.f64 (*.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z))
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (*.f64 z (neg.f64 z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (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 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

52.0ms
x
27.0ms
z
25.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
24.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes75.0ms (0.6%)

Memory
8.7MiB live, 208.8MiB allocated
Counts
62 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 z x) (/.f64 y z))
(*.f64 (/.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 z (*.f64 x y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 z (*.f64 y (/.f64 x z)) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(+.f64 (/.f64 (*.f64 (*.f64 z y) x) z) z)
(/.f64 z (/.f64 z (*.f64 x y)))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 x (/.f64 z y)) z)
(fma.f64 z (/.f64 y (/.f64 z x)) z)
(/.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
(/.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) x))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 (fma.f64 z (/.f64 z x) (*.f64 z y)) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)))
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) x))))
(/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x y) (/.f64 (*.f64 x y) z)) z) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
Outputs
(*.f64 z (cos.f64 y))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
Calls

4 calls:

18.0ms
z
18.0ms
x
18.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
y
Results
AccuracySegmentsBranch
87.0%3x
85.6%5y
88.0%3z
78.6%3(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes50.0ms (0.4%)

Memory
-0.6MiB live, 158.3MiB allocated
Counts
53 → 5
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 z x) (/.f64 y z))
(*.f64 (/.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 z (*.f64 x y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 z (*.f64 y (/.f64 x z)) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(+.f64 (/.f64 (*.f64 (*.f64 z y) x) z) z)
(/.f64 z (/.f64 z (*.f64 x y)))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 x (/.f64 z y)) z)
(fma.f64 z (/.f64 y (/.f64 z x)) z)
(/.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
(/.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) x))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 (fma.f64 z (/.f64 z x) (*.f64 z y)) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)))
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) x))))
(/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x y) (/.f64 (*.f64 x y) z)) z) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
Calls

3 calls:

16.0ms
y
15.0ms
x
15.0ms
z
Results
AccuracySegmentsBranch
83.6%5y
78.1%3x
76.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes63.0ms (0.5%)

Memory
-13.0MiB live, 149.7MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 z x) (/.f64 y z))
(*.f64 (/.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 z (*.f64 x y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 z (*.f64 y (/.f64 x z)) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(+.f64 (/.f64 (*.f64 (*.f64 z y) x) z) z)
(/.f64 z (/.f64 z (*.f64 x y)))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 x (/.f64 z y)) z)
(fma.f64 z (/.f64 y (/.f64 z x)) z)
(/.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
(/.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) x))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 (fma.f64 z (/.f64 z x) (*.f64 z y)) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)))
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) x))))
(/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x y) (/.f64 (*.f64 x y) z)) z) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (sin.f64 y))
Calls

4 calls:

16.0ms
z
15.0ms
x
15.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms
y
Results
AccuracySegmentsBranch
58.5%3z
59.5%3x
52.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
72.0%3y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes60.0ms (0.5%)

Memory
-18.5MiB live, 140.4MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 z x) (/.f64 y z))
(*.f64 (/.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 z (*.f64 x y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 z (*.f64 y (/.f64 x z)) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(+.f64 (/.f64 (*.f64 (*.f64 z y) x) z) z)
(/.f64 z (/.f64 z (*.f64 x y)))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 x (/.f64 z y)) z)
(fma.f64 z (/.f64 y (/.f64 z x)) z)
(/.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z)))
(/.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) x))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 (fma.f64 z (/.f64 z x) (*.f64 z y)) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)))
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) x))))
(/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x y) (/.f64 (*.f64 x y) z)) z) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (fma.f64 x #s(literal 2/45 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/36 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
Outputs
(fma.f64 y x z)
Calls

4 calls:

15.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms
y
14.0ms
x
14.0ms
z
Results
AccuracySegmentsBranch
52.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
52.9%1z
52.9%1x
52.9%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
23.3MiB live, 23.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
Outputs
(*.f64 x y)
z
(*.f64 x y)
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
44.9%3x
38.9%1y
43.1%3z
38.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
-25.6MiB live, 13.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

4 calls:

3.0ms
y
1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.9%1y
38.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
38.9%1z
38.9%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch31.0ms (0.2%)

Memory
16.2MiB live, 53.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
4.399895928877246e+98
4.645982155275224e+110
6.0ms
-2.139756901520736e+35
-1.5669877741825493e+35
Samples
21.0ms208×0valid
Compiler

Compiled 262 to 196 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.7% of total)
ival-sin: 5.0ms (30.5% of total)
ival-cos: 4.0ms (24.4% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch107.0ms (0.8%)

Memory
2.9MiB live, 119.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.7743993743600888e+184
5.0115286171600133e+185
37.0ms
887602.4592445394
2587505572.544744
37.0ms
-176003111.80955875
-9.436977967332939e-9
10.0ms
-2.1655875947862835e+233
-1.1301757135221949e+233
Samples
85.0ms464×0valid
Compiler

Compiled 569 to 398 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-sin: 32.0ms (43.5% of total)
ival-mult: 28.0ms (38.1% of total)
ival-cos: 11.0ms (15% of total)
ival-add: 2.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
-7.7MiB live, 68.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.00030959248037435897
887602.4592445394
14.0ms
-176003111.80955875
-9.436977967332939e-9
Samples
19.0ms256×0valid
Compiler

Compiled 414 to 280 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (44.8% of total)
ival-mult: 3.0ms (22.4% of total)
ival-cos: 2.0ms (14.9% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
26.9MiB live, 70.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
9.605925868484375e+140
1.2598529518698444e+144
23.0ms
-2.417255281753857e+185
-1.0595579125243953e+171
Samples
25.0ms288×0valid
Compiler

Compiled 231 to 176 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 7.0ms (39.7% of total)
ival-cos: 6.0ms (34% of total)
ival-mult: 4.0ms (22.7% of total)
ival-add: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-16.9MiB live, 21.7MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046117
153117
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -189999999999999997729744419786063872 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 77999999999999996966553943664669651630398111787031600226999309035726195668941670848755638438224461824 binary64)) (fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -135000000000000004176897823331571529298029431923391758329505603982791415574829683985420363174442210121856201647037041486920848917436977963031781500175985070482226143846631779348850787030412370513257184054146000700859504116438159851520 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 900000 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 131999999999999992478777926503917471716951223981438917699268277569339447710150002210375703024621739360133323276291881066613103248775480722814145784645715866057132927018490057949941071872 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -3242591731706757/36028797018963968 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5188146770730811/288230376151711744 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -53999999999999998295486397141254002881136257442686426664944739157071748018227291902653392107217566860464259586722594087784769522049549350158726777327717447954803197937635403215665102848 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 320000000000000016263131148895900150553314862352314873230374656923902774861195272642508427921726726121310729198265018698601426468750988069044224 binary64)) z (*.f64 x y)))
z
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -189999999999999997729744419786063872 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 77999999999999996966553943664669651630398111787031600226999309035726195668941670848755638438224461824 binary64)) (fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -189999999999999997729744419786063872 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 77999999999999996966553943664669651630398111787031600226999309035726195668941670848755638438224461824 binary64)) (fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y #s(literal -135000000000000004176897823331571529298029431923391758329505603982791415574829683985420363174442210121856201647037041486920848917436977963031781500175985070482226143846631779348850787030412370513257184054146000700859504116438159851520 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 900000 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 131999999999999992478777926503917471716951223981438917699268277569339447710150002210375703024621739360133323276291881066613103248775480722814145784645715866057132927018490057949941071872 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -135000000000000004176897823331571529298029431923391758329505603982791415574829683985420363174442210121856201647037041486920848917436977963031781500175985070482226143846631779348850787030412370513257184054146000700859504116438159851520 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 y #s(literal 900000 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 131999999999999992478777926503917471716951223981438917699268277569339447710150002210375703024621739360133323276291881066613103248775480722814145784645715866057132927018490057949941071872 binary64)) (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -3242591731706757/36028797018963968 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5188146770730811/288230376151711744 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -53999999999999998295486397141254002881136257442686426664944739157071748018227291902653392107217566860464259586722594087784769522049549350158726777327717447954803197937635403215665102848 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 320000000000000016263131148895900150553314862352314873230374656923902774861195272642508427921726726121310729198265018698601426468750988069044224 binary64)) z (*.f64 x y)))
(if (<=.f64 x #s(literal -53999999999999998295486397141254002881136257442686426664944739157071748018227291902653392107217566860464259586722594087784769522049549350158726777327717447954803197937635403215665102848 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 320000000000000016263131148895900150553314862352314873230374656923902774861195272642508427921726726121310729198265018698601426468750988069044224 binary64)) z (*.f64 y x)))
z

soundness1.1s (8.7%)

Memory
9.1MiB live, 936.3MiB allocated
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
8 246×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028157
054151
1209145
21585145
08222141
08937729
132107475
081337109
04643691
116063626
256903571
084313357
0109682
1344678
2991668
32652662
44669662
56964662
08196606
0821
01321
12921
218521
3183621
0839120
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 292 to 160 computations (45.2% saved)

preprocess52.0ms (0.4%)

Memory
-23.1MiB live, 131.1MiB allocated
Compiler

Compiled 264 to 108 computations (59.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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