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

Time bar (total: 11.9s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (9.7%)

Memory
27.0MiB live, 1 541.8MiB allocated
Samples
902.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 665.0ms
ival-cos: 235.0ms (35.3% of total)
ival-sin: 180.0ms (27.1% of total)
ival-mult: 151.0ms (22.7% of total)
ival-sub: 90.0ms (13.5% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess51.0ms (0.4%)

Memory
-11.2MiB live, 65.4MiB allocated
Algorithm
1×egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
178×distribute-lft-neg-in
166×associate-*r*
148×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

explain145.0ms (1.2%)

Memory
29.7MiB live, 229.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
52.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sin: 14.0ms (40.8% of total)
ival-cos: 11.0ms (32% of total)
ival-mult: 7.0ms (20.4% of total)
ival-sub: 2.0ms (5.8% 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
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify35.0ms (0.3%)

Memory
-6.3MiB live, 31.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize37.0ms (0.3%)

Memory
12.4MiB live, 86.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
27.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (34.3% of total)
ival-mult: 5.0ms (28.6% of total)
ival-sin: 5.0ms (28.6% of total)
ival-sub: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-42.6MiB live, 12.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

24 calls:

TimeVariablePointExpression
10.0ms
x
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
z
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@-inf
(- (* x (cos y)) (* z (sin y)))
0.0ms
y
@inf
(- (* x (cos y)) (* z (sin y)))
0.0ms
y
@0
(- (* x (cos y)) (* z (sin y)))

rewrite599.0ms (5%)

Memory
-132.3MiB live, 835.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 986×lower-fma.f64
10 986×lower-fma.f32
4 356×lower-*.f32
4 352×lower-*.f64
3 866×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify447.0ms (3.8%)

Memory
15.3MiB live, 606.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
4 682×lower-*.f64
4 682×lower-*.f32
1 796×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval39.0ms (0.3%)

Memory
23.2MiB live, 97.7MiB allocated
Compiler

Compiled 15 422 to 728 computations (95.3% saved)

prune100.0ms (0.8%)

Memory
-7.0MiB live, 107.6MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New30718325
Fresh000
Picked101
Done000
Total30818326
Accuracy
99.9%
Counts
326 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
64.6%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
54.2%
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
▶64.6%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
39.3%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
18.9%
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
39.3%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
8.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
67.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
58.4%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))
79.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
54.1%
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
▶55.2%
(-.f64 x (*.f64 z y))
45.2%
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
61.3%
(*.f64 x (cos.f64 y))
▶40.0%
(neg.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 1 054 to 496 computations (52.9% saved)

simplify327.0ms (2.8%)

Memory
25.4MiB live, 543.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff14272
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(neg.f64 (*.f64 z (sin.f64 y)))
✓cost-diff0
(*.f64 z y)
✓cost-diff0
(-.f64 x (*.f64 z y))
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(neg.f64 (*.f64 z (sin.f64 y)))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
Rules
9 854×lower-fma.f32
9 848×lower-fma.f64
3 822×lower-*.f32
3 808×lower-*.f64
1 484×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029277
055273
1113273
2234271
3571271
41541270
54054261
67405261
08091254
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
x
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 z z)
Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
x
(*.f64 z y)
(*.f64 y z)
z
y
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 x (fma.f64 x (cos.f64 (+.f64 y y)) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))))))
x
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(*.f64 z z)

localize244.0ms (2.1%)

Memory
-17.8MiB live, 475.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy89.2%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓accuracy75.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy75.0%
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(neg.f64 (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy100.0%
(-.f64 x (*.f64 z y))
✓accuracy100.0%
(*.f64 z y)
✓accuracy100.0%
(neg.f64 (*.f64 z (sin.f64 y)))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
91.0ms77×1valid
45.0ms123×0valid
43.0ms53×2valid
4.0ms3×3valid
Compiler

Compiled 288 to 33 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-cos: 41.0ms (28.3% of total)
ival-sub: 37.0ms (25.5% of total)
ival-mult: 21.0ms (14.5% of total)
ival-sin: 12.0ms (8.3% of total)
adjust: 11.0ms (7.6% of total)
ival-div: 10.0ms (6.9% of total)
ival-add: 9.0ms (6.2% of total)
ival-neg: 3.0ms (2.1% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series100.0ms (0.8%)

Memory
-3.2MiB live, 114.4MiB allocated
Counts
17 → 468
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))>
#<alt (cos.f64 y)>
#<alt (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (sin.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))>
#<alt (+.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))>
#<alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))>
Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
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#<alt (- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))) (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
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#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))>
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#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
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#<alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* z (+ (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))))>
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#<alt (* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))>
#<alt (* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))))>
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#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
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#<alt (- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
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#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))>
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#<alt (pow y 2)>
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#<alt (/ z (sin y))>
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#<alt (/ z (sin y))>
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#<alt (* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (/ (pow z 2) x)>
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#<alt (/ (* (pow y 2) (pow z 2)) x)>
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#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
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#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>
Calls

117 calls:

TimeVariablePointExpression
47.0ms
y
@inf
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
7.0ms
z
@inf
(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
3.0ms
y
@-inf
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
3.0ms
z
@0
(- x (* z y))
2.0ms
z
@inf
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))

rewrite888.0ms (7.5%)

Memory
1.2MiB live, 1 305.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 494×lower-*.f32
4 480×lower-*.f64
4 454×lower-/.f32
4 446×lower-/.f64
4 444×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029181
055143
1226123
21681123
08899123
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 2 363
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(-.f64 x (*.f64 z y))
(*.f64 z y)
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Outputs
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (*.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 0 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))))))
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(/.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))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.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))))))) (neg.f64 (*.f64 z z)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) 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 (neg.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) 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 (neg.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) 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 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) 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))))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) 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))))))) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))))
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 z (*.f64 (/.f64 z (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) 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)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) z) (/.f64 z (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))

simplify472.0ms (4%)

Memory
-1.2MiB live, 675.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 924×lower-*.f64
6 924×lower-*.f32
6 756×lower-fma.f64
6 756×lower-fma.f32
3 864×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010509594
136359431
084129161
Stop Event
1×iter limit
1×node limit
Counts
468 → 458
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
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(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))))
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (* x (+ (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))
(/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (+ (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))
(* -1 (/ (- (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(/ (pow z 2) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(/ z (sin y))
(* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))
(* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(/ z (sin y))
(* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(/ z (sin y))
(+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y)))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* z (pow (sin y) 3)))))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))
(/ (pow z 2) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (/ (pow z 2) (cos y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)
(/ (pow z 2) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/ (pow z 2) x)
(+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x))

eval576.0ms (4.9%)

Memory
27.7MiB live, 1 162.7MiB allocated
Compiler

Compiled 189 221 to 4 879 computations (97.4% saved)

prune347.0ms (2.9%)

Memory
26.1MiB live, 744.6MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New3 019333 052
Fresh10313
Picked235
Done000
Total3 031393 070
Accuracy
100.0%
Counts
3 070 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
58.4%
(fma.f64 (cos.f64 y) x (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z))))
67.0%
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
✓99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
54.1%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
54.2%
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
▶53.6%
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
78.5%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (sin.f64 y)))))
79.8%
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 z (sin.f64 y))))
39.3%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
13.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
16.2%
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))
60.9%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
35.9%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
61.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
42.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
47.9%
(-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
▶26.7%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
✓55.2%
(-.f64 x (*.f64 z y))
86.5%
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
49.4%
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
27.1%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (neg.f64 z))
27.5%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
27.1%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
▶86.6%
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
47.8%
(*.f64 z (-.f64 (/.f64 x z) y))
16.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
16.1%
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
39.6%
(*.f64 y (-.f64 (/.f64 x y) z))
▶15.9%
(*.f64 y (neg.f64 z))
▶94.2%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
61.3%
(*.f64 x (cos.f64 y))
16.2%
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
15.8%
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
16.0%
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
✓40.0%
(neg.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 1 330 to 811 computations (39% saved)

simplify274.0ms (2.3%)

Memory
11.6MiB live, 360.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(/.f64 (*.f64 x (cos.f64 y)) z)
✓cost-diff0
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓cost-diff704
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓cost-diff0
(fma.f64 y z x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) (fma.f64 y z x))
✓cost-diff0
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(*.f64 y (neg.f64 z))
✓cost-diff0
(/.f64 (*.f64 y (neg.f64 z)) x)
✓cost-diff1024
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(*.f64 y (neg.f64 z))
✓cost-diff0
(/.f64 (*.f64 z (sin.f64 y)) x)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
✓cost-diff704
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
Rules
4 716×lower-fma.f32
4 712×lower-fma.f64
4 232×lower-*.f32
4 214×lower-*.f64
2 032×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025172
048172
184172
2178172
3463169
41106164
52511164
65294164
08189164
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
x
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
y
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
x
(/.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
x
(fma.f64 y z x)
y
z
(/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 z (*.f64 y z))
(*.f64 y z)
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
z
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/.f64 (*.f64 x (cos.f64 y)) z)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(sin.f64 y)
Outputs
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(cos.f64 y)
y
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(-.f64 x (*.f64 y z))
x
(/.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x)))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
x
(fma.f64 y z x)
y
z
(/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))
(/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 z (*.f64 y z))
(*.f64 y (*.f64 z z))
(*.f64 y z)
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
z
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/.f64 (*.f64 x (cos.f64 y)) z)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(sin.f64 y)

localize129.0ms (1.1%)

Memory
-66.3MiB live, 174.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓accuracy99.9%
(/.f64 (*.f64 x (cos.f64 y)) z)
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy86.6%
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (*.f64 y z))
✓accuracy94.8%
(*.f64 y (*.f64 z (*.f64 y z)))
✓accuracy68.0%
(/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))
✓accuracy59.4%
(/.f64 (*.f64 x x) (fma.f64 y z x))
✓accuracy100.0%
(*.f64 y (neg.f64 z))
✓accuracy100.0%
(neg.f64 z)
✓accuracy92.2%
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
✓accuracy86.6%
(/.f64 (*.f64 y (neg.f64 z)) x)
✓accuracy100.0%
(*.f64 y (neg.f64 z))
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy94.2%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
✓accuracy93.8%
(/.f64 (*.f64 z (sin.f64 y)) x)
Samples
94.0ms256×0valid
Compiler

Compiled 180 to 28 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-div: 42.0ms (55.2% of total)
ival-mult: 16.0ms (21% of total)
ival-cos: 6.0ms (7.9% of total)
ival-sin: 5.0ms (6.6% of total)
ival-sub: 3.0ms (3.9% of total)
ival-add: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
33.7MiB live, 108.4MiB allocated
Counts
20 → 588
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (cos.f64 y)>
#<alt (/.f64 (*.f64 z (sin.f64 y)) x)>
#<alt (*.f64 y (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)>
#<alt (/.f64 (*.f64 y (neg.f64 z)) x)>
#<alt (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))>
#<alt (/.f64 (*.f64 x x) (fma.f64 y z x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 y z x)>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))>
#<alt (*.f64 y (*.f64 z (*.f64 y z)))>
#<alt (*.f64 z (*.f64 y z))>
Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
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#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1 (/ (* y (pow z 5)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ x y))))>
#<alt (* y (- (+ z (/ (pow x 2) (* (pow y 2) z))) (/ x y)))>
#<alt (* y (- (+ z (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ x y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (/ (pow x 2) (* y z)) x) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (/ (pow x 2) z)) y)) x) y)))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow y 3) z) (pow x 2))) (/ (pow y 2) x)))>
#<alt (* (pow z 2) (+ (* z (- (/ (* (pow y 4) z) (pow x 3)) (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* (pow y 5) z) (pow x 4))) (* -1 (/ (pow y 4) (pow x 3))))) (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)))>
#<alt (* y z)>
#<alt (* z (+ y (* -1 (/ x z))))>
#<alt (* z (- (+ y (/ (pow x 2) (* y (pow z 2)))) (/ x z)))>
#<alt (* z (- (+ y (* -1 (/ (pow x 3) (* (pow y 2) (pow z 3))))) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ x z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (/ x z))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (/ (pow x 2) (* y z)) x) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 2) z)) (/ (pow x 2) y)) z)) x) z)))))>
#<alt (* y z)>
#<alt (+ (* -1 x) (* y z))>
#<alt (+ (* x (- (/ x (* y z)) 1)) (* y z))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))) 1)) (* y z))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (/ (+ (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)>
#<alt (/ (- (+ (* (pow y 2) (pow z 2)) (/ (* (pow y 4) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 3)) x)) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow y 5) (pow z 5)) (pow x 3))) (* (pow y 2) (pow z 2))) (+ (* -1 (/ (* (pow y 4) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 3)) x))) x)>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (/ (* (pow y 3) (pow z 3)) x)) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (/ (- (/ (* (pow y 4) (pow z 4)) x) (* (pow y 3) (pow z 3))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 5) (pow z 5)) x) (* (pow y 4) (pow z 4))) x)) (* (pow y 3) (pow z 3))) x))) x))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
Calls

147 calls:

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

rewrite459.0ms (3.9%)

Memory
-19.7MiB live, 494.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 974×lower-*.f32
5 956×lower-*.f64
4 866×lower-/.f32
4 856×lower-/.f64
3 698×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
048138
1183132
21559131
08890130
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 584
Calls
Call 1
Inputs
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 y (neg.f64 z))
(neg.f64 z)
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(/.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
(fma.f64 y z x)
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/.f64 (*.f64 x (cos.f64 y)) z)
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 z (*.f64 y z))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(fma.f64 x (cos.f64 y) (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (cos.f64 y) x (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(fma.f64 (cos.f64 y) x (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x)) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x) (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x)))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) x)
(+.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (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 z (sin.f64 y)) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y))
(fma.f64 (*.f64 z (sin.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (cos.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 z x) (cos.f64 y))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (sin.f64 y) x) (cos.f64 y))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #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 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
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(/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)))
(*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (fma.f64 y z x)))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(*.f64 (*.f64 y (*.f64 z z)) (/.f64 y (fma.f64 y z x)))
(*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z x))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) (/.f64 y (fma.f64 y z x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 y (*.f64 y (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) y)
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))))
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x))
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(*.f64 (/.f64 (*.f64 y z) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
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(*.f64 (/.f64 z (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))))) (/.f64 (*.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))))
(*.f64 (/.f64 z (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (*.f64 y (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
(*.f64 (/.f64 z (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (*.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
(*.f64 (/.f64 (*.f64 y z) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))))) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))))
(*.f64 (/.f64 (*.f64 z z) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
(*.f64 (/.f64 (*.f64 y y) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))))) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))))
(*.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
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(*.f64 (/.f64 (*.f64 (*.f64 y z) y) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (fma.f64 y z x)))
(*.f64 (/.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64)) (/.f64 (*.f64 y z) (fma.f64 y z x)))
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 (*.f64 y (neg.f64 z)) (fma.f64 y z x)))
(*.f64 (/.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (fma.f64 y z x)))
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 z z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 y z x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 z (*.f64 y (*.f64 y z)))
(*.f64 z (*.f64 (*.f64 y z) y))
(*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 y z) (*.f64 y z))
(*.f64 (*.f64 y (*.f64 z z)) y)
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) (*.f64 y y))
(*.f64 (*.f64 z z) (pow.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 y (*.f64 y z)) z)
(*.f64 (*.f64 (*.f64 y z) y) z)
(*.f64 (*.f64 y y) (*.f64 z z))
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 y (*.f64 z z))
(*.f64 z (*.f64 y z))
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 z z) y)

simplify533.0ms (4.5%)

Memory
41.8MiB live, 505.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 126×lower-fma.f64
8 126×lower-fma.f32
5 512×lower-*.f64
5 512×lower-*.f32
1 954×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05894946
119014860
259354828
082734735
Stop Event
1×iter limit
1×node limit
Counts
588 → 569
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
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(/ (- (+ (* (pow y 2) (pow z 2)) (/ (* (pow y 4) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 3)) x)) x)
(/ (- (+ (* -1 (/ (* (pow y 5) (pow z 5)) (pow x 3))) (* (pow y 2) (pow z 2))) (+ (* -1 (/ (* (pow y 4) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 3)) x))) x)
(/ (* (pow y 2) (pow z 2)) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (/ (* (pow y 3) (pow z 3)) x)) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (/ (- (/ (* (pow y 4) (pow z 4)) x) (* (pow y 3) (pow z 3))) x))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 5) (pow z 5)) x) (* (pow y 4) (pow z 4))) x)) (* (pow y 3) (pow z 3))) x))) x))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 (neg.f64 z) x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 z) x)) #s(literal 1 binary64))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
1
#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)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 z y)) x) (/.f64 z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y (*.f64 z y)) x) #s(literal 1/120 binary64) (*.f64 (/.f64 z x) #s(literal -1/6 binary64))) (/.f64 z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) x) (*.f64 (/.f64 (*.f64 y (*.f64 z y)) x) #s(literal -1/5040 binary64))) (*.f64 (/.f64 z x) #s(literal -1/6 binary64)))) (/.f64 z x)))
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (*.f64 y (/.f64 (neg.f64 z) x)) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (*.f64 y (/.f64 (neg.f64 z) x)) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (*.f64 y (/.f64 (neg.f64 z) x)) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))
(* -1 (* x (- (/ (* y z) x) 1)))
(neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))
(* -1 (* x (- (/ (* y z) x) 1)))
(neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* y (+ (* -1 z) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (+ (* -1 z) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (+ (* -1 z) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* y (+ z (* -1 (/ x y)))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(*.f64 y (-.f64 (/.f64 x y) z))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* z (+ (* -1 y) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (+ (* -1 y) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (+ (* -1 y) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* y z))
(neg.f64 (*.f64 z y))
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (/ (* y z) x))
(*.f64 y (/.f64 (neg.f64 z) x))
(* -1 (/ (* y z) x))
(*.f64 y (/.f64 (neg.f64 z) x))
(* -1 (/ (* y z) x))
(*.f64 y (/.f64 (neg.f64 z) x))
(* -1 (/ (* y z) x))
(*.f64 y (/.f64 (neg.f64 z) x))
(* -1 (/ (* y z) x))
(*.f64 y (/.f64 (neg.f64 z) x))
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(/.f64 (fma.f64 z (*.f64 y (*.f64 z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y (neg.f64 y))))))) x)) x)
(/ (- (+ (* -1 (/ (* (pow y 5) (pow z 5)) (pow x 3))) (* (pow y 2) (pow z 2))) (+ (* -1 (/ (* (pow y 4) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 3)) x))) x)
(/.f64 (-.f64 (fma.f64 z (*.f64 y (*.f64 z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y (neg.f64 y))))))) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))) (*.f64 x (*.f64 x x)))) x)
(/ (* (pow y 2) (pow z 2)) x)
(*.f64 z (/.f64 (*.f64 y (*.f64 z y)) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (/ (* (pow y 3) (pow z 3)) x)) x))
(/.f64 (fma.f64 z (*.f64 z (*.f64 y (neg.f64 y))) (*.f64 (*.f64 y y) (*.f64 y (/.f64 (*.f64 z (*.f64 z z)) x)))) (neg.f64 x))
(* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (/ (- (/ (* (pow y 4) (pow z 4)) x) (* (pow y 3) (pow z 3))) x))) x))
(/.f64 (fma.f64 z (*.f64 y (*.f64 z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y (neg.f64 y))))))) x)) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 5) (pow z 5)) x) (* (pow y 4) (pow z 4))) x)) (* (pow y 3) (pow z 3))) x))) x))
(/.f64 (fma.f64 z (*.f64 y (*.f64 z y)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 (pow.f64 y #s(literal 5 binary64)) x))) (neg.f64 x)) (*.f64 z (*.f64 z (*.f64 y (*.f64 y (*.f64 z y)))))) x)) x)
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 z y)))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))
(* y (pow z 2))
(*.f64 z (*.f64 z y))

eval306.0ms (2.6%)

Memory
-22.5MiB live, 369.3MiB allocated
Compiler

Compiled 28 289 to 2 342 computations (91.7% saved)

prune227.0ms (1.9%)

Memory
3.5MiB live, 388.8MiB allocated
Pruning

54 alts after pruning (50 fresh and 4 done)

PrunedKeptTotal
New1 255291 284
Fresh102131
Picked415
Done033
Total1 269541 323
Accuracy
100.0%
Counts
1 323 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
46.0%
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
▶22.9%
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
58.4%
(fma.f64 (cos.f64 y) x (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z))))
67.0%
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
✓99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
54.1%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
54.2%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
53.5%
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
79.8%
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 z (sin.f64 y))))
39.3%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
48.0%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))
60.9%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
35.9%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
61.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
42.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
47.9%
(-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
15.5%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
25.8%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
33.6%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
▶33.6%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
24.9%
(-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
9.0%
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
✓55.2%
(-.f64 x (*.f64 z y))
27.1%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (neg.f64 z))
27.5%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
94.1%
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) x)
86.5%
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
16.8%
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 x z)) y)))
46.5%
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
48.1%
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
35.2%
(*.f64 z (/.f64 x z))
72.4%
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
47.8%
(*.f64 z (-.f64 (/.f64 x z) y))
16.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
16.1%
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
4.9%
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
7.6%
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
39.6%
(*.f64 y (-.f64 (/.f64 x y) z))
12.5%
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
✓15.9%
(*.f64 y (neg.f64 z))
34.4%
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))
▶94.1%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
90.0%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
90.0%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 z (/.f64 #s(literal 1 binary64) x)))))
▶74.3%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
61.3%
(*.f64 x (cos.f64 y))
▶42.6%
(*.f64 x #s(literal 1 binary64))
16.2%
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
15.8%
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
16.0%
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
✓40.0%
(neg.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 1 853 to 1 064 computations (42.6% saved)

simplify292.0ms (2.5%)

Memory
-22.6MiB live, 292.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(/.f64 (*.f64 z (sin.f64 y)) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))
✓cost-diff1024
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
✓cost-diff0
(*.f64 y (*.f64 z z))
✓cost-diff0
(/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x))
✓cost-diff0
(neg.f64 y)
✓cost-diff1024
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
✓cost-diff0
(fma.f64 y z x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) (fma.f64 y z x))
✓cost-diff0
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
✓cost-diff320
(*.f64 x #s(literal 1 binary64))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
✓cost-diff704
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
Rules
3 680×lower-fma.f32
3 676×lower-fma.f64
2 512×lower-*.f32
2 496×lower-*.f64
2 258×lower-/.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
025181
048181
188181
2223173
3653167
41897167
53049167
63773164
74540163
85589163
96682163
106750163
116776163
126780163
137190163
147618163
157813163
167845163
177853163
187853163
08786163
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
x
(-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y)))))
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(/.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
x
(fma.f64 y z x)
y
z
(*.f64 z y)
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(neg.f64 y)
y
(/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x))
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
(fma.f64 y z x)
x
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
x
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))
#s(literal 1 binary64)
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
Outputs
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z (sin.f64 y)) x)
#s(literal 1 binary64)
(/.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 y z))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
x
(fma.f64 y z x)
y
z
(*.f64 z y)
(*.f64 y z)
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(neg.f64 y)
y
(/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x))
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
(fma.f64 y z x)
x
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))
#s(literal 1 binary64)
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y

localize94.0ms (0.8%)

Memory
26.7MiB live, 186.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy94.3%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
✓accuracy93.8%
(/.f64 (*.f64 z (sin.f64 y)) x)
✓accuracy100.0%
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
✓accuracy85.8%
(*.f64 y (*.f64 z z))
✓accuracy71.1%
(/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x))
✓accuracy59.4%
(/.f64 (*.f64 x x) (fma.f64 y z x))
✓accuracy100.0%
(*.f64 z y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
✓accuracy59.4%
(/.f64 (*.f64 x x) (fma.f64 y z x))
✓accuracy100.0%
(*.f64 x #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
✓accuracy94.2%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
✓accuracy94.1%
(/.f64 x (*.f64 z (sin.f64 y)))
Samples
60.0ms256×0valid
Compiler

Compiled 192 to 29 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 16.0ms (37% of total)
ival-div: 8.0ms (18.5% of total)
ival-cos: 7.0ms (16.2% of total)
ival-sin: 6.0ms (13.9% of total)
ival-sub: 3.0ms (6.9% of total)
ival-add: 2.0ms (4.6% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.4%)

Memory
-41.0MiB live, 87.8MiB allocated
Counts
20 → 564
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))>
#<alt (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y)))))>
#<alt (cos.f64 y)>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))>
#<alt (/.f64 (*.f64 x x) (fma.f64 y z x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 y z x)>
#<alt (fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))>
#<alt (neg.f64 y)>
#<alt (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x))>
#<alt (*.f64 y (*.f64 z z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (/.f64 (*.f64 z (sin.f64 y)) x)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (/.f64 x (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z y)>
#<alt (sin.f64 y)>
Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 (* y z))>
#<alt (- (/ (pow x 2) (* y z)) (* y z))>
#<alt (- (* (pow x 2) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))) (* y z))>
#<alt (- (* (pow x 2) (+ (* x (- (/ x (* (pow y 3) (pow z 3))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))) (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -2 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 2 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 2 (/ (* y z) x)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* 2 (* y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* 2 (* y z))) x)) 1)))>
#<alt x>
#<alt (+ x (* -2 (* y z)))>
#<alt (+ x (* y (- (/ (* y (pow z 2)) x) (* 2 z))))>
#<alt (+ x (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (* -1 (/ (pow z 2) x)))) (* 2 z))))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ (pow x 2) (* (pow y 2) z)) z))>
#<alt (* y (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (/ (pow x 2) (* (pow y 2) z))) z))>
#<alt (* y (- (+ (/ (pow x 2) (* (pow y 2) z)) (/ (pow x 4) (* (pow y 4) (pow z 3)))) (+ z (/ (pow x 3) (* (pow y 3) (pow z 2))))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (* (pow y 2) z))) (* -1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* -1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (- (/ (pow x 4) (* y (pow z 3))) (/ (pow x 3) (pow z 2))) (pow y 3))) (* -1 (/ (pow x 2) (* (pow y 2) z)))) (* -1 z))))>
#<alt x>
#<alt (+ x (* -2 (* y z)))>
#<alt (+ x (* z (- (/ (* (pow y 2) z) x) (* 2 y))))>
#<alt (+ x (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 2))) (* -1 (/ (pow y 2) x)))) (* 2 y))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ (pow x 2) (* y (pow z 2))) y))>
#<alt (* z (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 3)))) (/ (pow x 2) (* y (pow z 2)))) y))>
#<alt (* z (- (+ (/ (pow x 2) (* y (pow z 2))) (/ (pow x 4) (* (pow y 3) (pow z 4)))) (+ y (/ (pow x 3) (* (pow y 2) (pow z 3))))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (pow x 2) (* y (pow z 2)))) (* -1 y))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 3) (* (pow y 2) (pow z 3)))) (* -1 y))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (/ (pow x 4) (* (pow y 3) z)) (/ (pow x 3) (pow y 2))) (pow z 3))) (* -1 (/ (pow x 2) (* y (pow z 2))))) (* -1 y))))>
#<alt (/ (pow x 2) (* y z))>
#<alt (* (pow x 2) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z))))>
#<alt (* (pow x 2) (+ (* x (- (/ x (* (pow y 3) (pow z 3))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* y z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* y z)) x)) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (/ (* y (pow z 2)) x) z)))>
#<alt (+ x (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (* -1 (/ (pow z 2) x)))) z)))>
#<alt (/ (pow x 2) (* y z))>
#<alt (/ (+ (* -1 (/ (pow x 3) (* y (pow z 2)))) (/ (pow x 2) z)) y)>
#<alt (/ (- (+ (/ (pow x 2) z) (/ (pow x 4) (* (pow y 2) (pow z 3)))) (/ (pow x 3) (* y (pow z 2)))) y)>
#<alt (/ (- (+ (* -1 (/ (pow x 5) (* (pow y 3) (pow z 4)))) (/ (pow x 2) z)) (+ (* -1 (/ (pow x 4) (* (pow y 2) (pow z 3)))) (/ (pow x 3) (* y (pow z 2))))) y)>
#<alt (/ (pow x 2) (* y z))>
#<alt (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 3) (* y (pow z 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) (* y (pow z 3))) (/ (pow x 3) (pow z 2))) y)) (* -1 (/ (pow x 2) z))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* y (pow z 4))) (/ (pow x 4) (pow z 3))) y)) (/ (pow x 3) (pow z 2))) y)) (* -1 (/ (pow x 2) z))) y))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* z (- (/ (* (pow y 2) z) x) y)))>
#<alt (+ x (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 2))) (* -1 (/ (pow y 2) x)))) y)))>
#<alt (/ (pow x 2) (* y z))>
#<alt (/ (+ (* -1 (/ (pow x 3) (* (pow y 2) z))) (/ (pow x 2) y)) z)>
#<alt (/ (- (+ (/ (pow x 2) y) (/ (pow x 4) (* (pow y 3) (pow z 2)))) (/ (pow x 3) (* (pow y 2) z))) z)>
#<alt (/ (- (+ (* -1 (/ (pow x 5) (* (pow y 4) (pow z 3)))) (/ (pow x 2) y)) (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (/ (pow x 3) (* (pow y 2) z)))) z)>
#<alt (/ (pow x 2) (* y z))>
#<alt (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (* (pow y 2) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) (* (pow y 3) z)) (/ (pow x 3) (pow y 2))) z)) (* -1 (/ (pow x 2) y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* (pow y 4) z)) (/ (pow x 4) (pow y 3))) z)) (/ (pow x 3) (pow y 2))) z)) (* -1 (/ (pow x 2) y))) z))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ x y)))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (+ (/ x y) (/ (pow x 2) (* (pow y 2) z))))))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (+ (/ x y) (/ (pow x 2) (* (pow y 2) z))))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y))) y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y))) y)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ x z)))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (+ (/ x z) (/ (pow x 2) (* y (pow z 2)))))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (+ (/ x z) (/ (pow x 2) (* y (pow z 2)))))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) z))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) z))) z)))))>
#<alt (* -1 (* y z))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (* y (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))>
#<alt (* y (+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (* y (+ (* y (- (* y (- (* -1 (/ (* y (pow z 5)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt z>
#<alt (+ z (* -1 (/ x y)))>
#<alt (- (+ z (/ (pow x 2) (* (pow y 2) z))) (/ x y))>
#<alt (- (+ z (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ x y)))>
#<alt z>
#<alt (+ z (* -1 (/ x y)))>
#<alt (+ z (* -1 (/ (+ x (* -1 (/ (pow x 2) (* y z)))) y)))>
#<alt (+ z (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) (* y (pow z 2)))) (/ (pow x 2) z)) y))) y)))>
#<alt (/ (* y (pow z 2)) x)>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (/ y x)))>
#<alt (* (pow z 2) (+ (* z (- (/ (* (pow y 3) z) (pow x 3)) (/ (pow y 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* (pow y 4) z) (pow x 4))) (* -1 (/ (pow y 3) (pow x 3))))) (/ (pow y 2) (pow x 2)))) (/ y x)))>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x (* y z)))))>
#<alt (* z (- (+ 1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ x (* y z))))>
#<alt (* z (- (+ 1 (* -1 (/ (pow x 3) (* (pow y 3) (pow z 3))))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ x (* y z)))))>
#<alt z>
#<alt (* -1 (* z (- (/ x (* y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (pow x 2) (* (pow y 2) z)) (/ x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 3) z)) (/ (pow x 2) (pow y 2))) z)) (/ x y)) z)) 1)))>
#<alt z>
#<alt (+ z (* -1 (/ x y)))>
#<alt (+ z (* x (- (/ x (* (pow y 2) z)) (/ 1 y))))>
#<alt (+ z (* x (- (* x (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z)))) (/ 1 y))))>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (+ (* -1 (/ (* (pow y 2) (pow z 3)) x)) (* y (pow z 2))) x)>
#<alt (/ (- (+ (* y (pow z 2)) (/ (* (pow y 3) (pow z 4)) (pow x 2))) (/ (* (pow y 2) (pow z 3)) x)) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow y 4) (pow z 5)) (pow x 3))) (* y (pow z 2))) (+ (* -1 (/ (* (pow y 3) (pow z 4)) (pow x 2))) (/ (* (pow y 2) (pow z 3)) x))) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (* -1 (/ (+ (* -1 (* y (pow z 2))) (/ (* (pow y 2) (pow z 3)) x)) x))>
#<alt (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) x) (* (pow y 2) (pow z 3))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (pow z 5)) x) (* (pow y 3) (pow z 4))) x)) (* (pow y 2) (pow z 3))) x))) x))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ x z)))>
#<alt (* z (+ (* -1 (sin y)) (/ x z)))>
#<alt (* z (+ (* -1 (sin y)) (/ x z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))>
#<alt (+ x (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt (* x (- 1 (/ (* z (sin y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ 1 z) (/ (sin y) x)))>
#<alt (* z (- (/ 1 z) (/ (sin y) x)))>
#<alt (* z (- (/ 1 z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ 1 z)))>
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ 1 z)))>
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* 1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (+ 1 (* y (- (* (pow y 2) (- (* -1/120 (/ (* (pow y 2) z) x)) (* -1/6 (/ z x)))) (/ z x))))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (- 1 (/ (* z (sin y)) x))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- x (* z (sin y))) x)>
#<alt (/ (- x (* z (sin y))) x)>
#<alt (/ (- x (* z (sin y))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (+ 1 (* -1 (/ (* z (sin y)) x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* y z))>
#<alt (/ (+ (* 1/6 (/ (* x (pow y 2)) z)) (/ x z)) y)>
#<alt (/ (+ (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 (/ x z)) (* 1/120 (/ x z))))) (* -1/6 (/ x z)))) (/ x z)) y)>
#<alt (/ (+ (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 (/ x z)) (+ (* 1/720 (/ x z)) (* 1/6 (+ (* -1/36 (/ x z)) (* 1/120 (/ x z)))))))) (+ (* -1/36 (/ x z)) (* 1/120 (/ x z))))) (* -1/6 (/ x z)))) (/ x z)) y)>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (/ x (* z (sin y)))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
Calls

141 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
(/ x (* z (sin y)))
3.0ms
y
@0
(/ x (* z (sin y)))
1.0ms
y
@0
(+ (* (neg y) (/ (* y (* z z)) (+ (* y z) x))) (/ (* x x) (+ (* y z) x)))
1.0ms
z
@0
(+ (* (neg y) (/ (* y (* z z)) (+ (* y z) x))) (/ (* x x) (+ (* y z) x)))
1.0ms
x
@inf
(+ (* (neg y) (/ (* y (* z z)) (+ (* y z) x))) (/ (* x x) (+ (* y z) x)))

rewrite457.0ms (3.8%)

Memory
42.2MiB live, 437.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 790×lower-*.f32
5 774×lower-*.f64
4 728×lower-/.f32
4 718×lower-/.f64
3 646×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025141
048133
1185131
21414126
08169126
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 658
Calls
Call 1
Inputs
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y)))))
(cos.f64 y)
(*.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(*.f64 x x)
(fma.f64 y z x)
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(neg.f64 y)
(/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x))
(*.f64 y (*.f64 z z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
(/.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z y)
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 x (cos.f64 y) (*.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x)) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) x)
(*.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 1 binary64)) x)
(exp.f64 (log.f64 (*.f64 z (/.f64 (sin.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))))
(neg.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z (sin.f64 y)) x)
(/.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (sin.f64 y) x)))
(*.f64 z (/.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 z x))
(*.f64 (sin.f64 y) (*.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 x))
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(*.f64 (sin.f64 y) (/.f64 z x))
(*.f64 (sin.f64 y) (*.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))
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(*.f64 (/.f64 (sin.f64 y) x) z)
(*.f64 (/.f64 (sin.f64 y) x) (/.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) x) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
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(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (sin.f64 y))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) (sin.f64 y))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) x))
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(*.f64 (/.f64 (sin.f64 y) (neg.f64 x)) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
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(*.f64 (/.f64 z (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 z (neg.f64 x)))
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(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (/.f64 x (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) (/.f64 (neg.f64 x) (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z (sin.f64 y))))
(/.f64 x (*.f64 z (sin.f64 y)))
(/.f64 x (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (sin.f64 y) x)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) (/.f64 x z))))
(/.f64 (/.f64 (neg.f64 x) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (/.f64 x z) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (/.f64 x (sin.f64 y)) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 x (sin.f64 y))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sin.f64 y) x)))
(pow.f64 (/.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 x z)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 z (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 x) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x)
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 x z) (pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (*.f64 z (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #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 x z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 x (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 y z)
(*.f64 z y)
(sin.f64 y)

simplify788.0ms (6.6%)

Memory
-33.6MiB live, 445.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 138×lower-fma.f64
8 138×lower-fma.f32
5 878×lower-*.f64
5 878×lower-*.f32
2 754×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06935123
121964966
267324903
084354781
Stop Event
1×iter limit
1×node limit
Counts
564 → 525
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(* -1 (/ (* z (sin y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
x
x
x
x
x
x
x
x
x
x
x
x
(* -1 (* y z))
(- (/ (pow x 2) (* y z)) (* y z))
(- (* (pow x 2) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))) (* y z))
(- (* (pow x 2) (+ (* x (- (/ x (* (pow y 3) (pow z 3))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))) (* y z))
x
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x
(+ x (* -1 (* y z)))
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(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
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(/ (* y (pow z 2)) x)
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z
(+ z (* -1 (/ x y)))
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(+ z (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) (* y (pow z 2)))) (/ (pow x 2) z)) y))) y)))
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(* (pow z 2) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (/ y x)))
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z
(* z (+ 1 (* -1 (/ x (* y z)))))
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z
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z
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(/ (+ (* -1 (/ (* (pow y 2) (pow z 3)) x)) (* y (pow z 2))) x)
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(* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) x) (* (pow y 2) (pow z 3))) x))) x))
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x
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x
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(* -1 (* x (- (/ (* z (sin y)) x) 1)))
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x
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(* x (- 1 (/ (* z (sin y)) x)))
(* x (- 1 (/ (* z (sin y)) x)))
(* x (- 1 (/ (* z (sin y)) x)))
(* x (- 1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1 (/ (* z (sin y)) x)))
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(- 1 (/ (* z (sin y)) x))
(- 1 (/ (* z (sin y)) x))
(- 1 (/ (* z (sin y)) x))
(- 1 (/ (* z (sin y)) x))
(* -1 (/ (* z (sin y)) x))
(/ (- x (* z (sin y))) x)
(/ (- x (* z (sin y))) x)
(/ (- x (* z (sin y))) x)
1
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1
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(/ (* z (sin y)) x)
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(/ (* z (sin y)) x)
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(/ (* y z) x)
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(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
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(/ (* z (sin y)) x)
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(/ (* z (sin y)) x)
(* z (sin y))
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(* z (sin y))
(* z (sin y))
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(* z (sin y))
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(* z (sin y))
(* z (sin y))
(* z (sin y))
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(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
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(* z (sin y))
(* z (sin y))
(* z (sin y))
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(* z (sin y))
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(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* y z))
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(/ (+ (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 (/ x z)) (* 1/120 (/ x z))))) (* -1/6 (/ x z)))) (/ x z)) y)
(/ (+ (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 (/ x z)) (+ (* 1/720 (/ x z)) (* 1/6 (+ (* -1/36 (/ x z)) (* 1/120 (/ x z)))))))) (+ (* -1/36 (/ x z)) (* 1/120 (/ x z))))) (* -1/6 (/ x z)))) (/ x z)) y)
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
(/ x (* z (sin y)))
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(/ x (* z (sin y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
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(* y z)
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(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y (*.f64 y 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 (*.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)

eval452.0ms (3.8%)

Memory
22.5MiB live, 375.9MiB allocated
Compiler

Compiled 30 997 to 2 684 computations (91.3% saved)

prune217.0ms (1.8%)

Memory
-1.6MiB live, 554.9MiB allocated
Pruning

56 alts after pruning (52 fresh and 4 done)

PrunedKeptTotal
New1 408171 425
Fresh103545
Picked505
Done044
Total1 423561 479
Accuracy
100.0%
Counts
1 479 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 x x) (*.f64 y (neg.f64 z)))
48.4%
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
46.0%
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
79.8%
(fma.f64 (sin.f64 y) (neg.f64 z) x)
6.3%
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (*.f64 z y)))
23.1%
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y z x)) y) (/.f64 (*.f64 x x) (fma.f64 y z x)))
12.6%
(fma.f64 (neg.f64 y) (*.f64 z (fma.f64 x (/.f64 x (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))) (/.f64 (*.f64 x x) (fma.f64 y z x)))
58.4%
(fma.f64 (cos.f64 y) x (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z))))
67.0%
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
✓99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
44.0%
(fma.f64 z (*.f64 y #s(literal -2 binary64)) x)
54.2%
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x)
54.1%
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
54.2%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
54.6%
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
53.5%
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
39.3%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
21.2%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y z x))
48.0%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))
60.9%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
35.9%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
61.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
42.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
47.9%
(-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
15.5%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
25.8%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
33.6%
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
9.0%
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
15.7%
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (*.f64 z y))
44.0%
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z y))
✓55.2%
(-.f64 x (*.f64 z y))
70.1%
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
27.1%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (neg.f64 z))
74.2%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (sin.f64 y) x))) x)
86.5%
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
46.5%
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
48.1%
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
35.2%
(*.f64 z (/.f64 x z))
14.7%
(*.f64 z (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z y))))) y))
72.4%
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
16.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
4.9%
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
7.6%
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
39.6%
(*.f64 y (-.f64 (/.f64 x y) z))
12.5%
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
✓15.9%
(*.f64 y (neg.f64 z))
34.4%
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))
74.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
74.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) z)))
61.3%
(*.f64 x (cos.f64 y))
16.2%
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
15.8%
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
✓40.0%
(neg.f64 (*.f64 z (sin.f64 y)))
42.6%
x
Compiler

Compiled 2 654 to 906 computations (65.9% saved)

regimes114.0ms (1%)

Memory
-1.9MiB live, 324.1MiB allocated
Counts
98 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 z y))
(fma.f64 z (*.f64 y #s(literal -2 binary64)) x)
(*.f64 z (/.f64 x z))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (*.f64 z y))
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 x x) (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y z x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y z x)) y) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
(*.f64 z (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z y))))) y))
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 x z)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(fma.f64 (neg.f64 y) (*.f64 z (fma.f64 x (/.f64 x (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (sin.f64 y) x))) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))
(fma.f64 (cos.f64 y) x (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) x)
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 z (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (neg.f64 z))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.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 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
Calls

4 calls:

30.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
27.0ms
z
26.0ms
y
26.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes86.0ms (0.7%)

Memory
-0.7MiB live, 237.8MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 z y))
(fma.f64 z (*.f64 y #s(literal -2 binary64)) x)
(*.f64 z (/.f64 x z))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (*.f64 z y))
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 x x) (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y z x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y z x)) y) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
(*.f64 z (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z y))))) y))
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 x z)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(fma.f64 (neg.f64 y) (*.f64 z (fma.f64 x (/.f64 x (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (sin.f64 y) x))) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))
(fma.f64 (cos.f64 y) x (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

23.0ms
x
20.0ms
z
20.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes87.0ms (0.7%)

Memory
14.2MiB live, 220.9MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 z y))
(fma.f64 z (*.f64 y #s(literal -2 binary64)) x)
(*.f64 z (/.f64 x z))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (*.f64 z y))
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 x x) (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y z x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y z x)) y) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
(*.f64 z (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z y))))) y))
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 x z)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(fma.f64 (neg.f64 y) (*.f64 z (fma.f64 x (/.f64 x (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(*.f64 z (/.f64 (*.f64 x (cos.f64 y)) z))
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (sin.f64 y) x))) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))
(fma.f64 (cos.f64 y) x (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 x (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
Calls

4 calls:

24.0ms
y
20.0ms
z
20.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
x
Results
AccuracySegmentsBranch
87.8%3x
82.3%2y
89.2%3z
79.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes68.0ms (0.6%)

Memory
-18.0MiB live, 178.6MiB allocated
Counts
53 → 4
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 z y))
(fma.f64 z (*.f64 y #s(literal -2 binary64)) x)
(*.f64 z (/.f64 x z))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (*.f64 z y))
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 x x) (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y z x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y z x)) y) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
(*.f64 z (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z y))))) y))
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 x z)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(fma.f64 (neg.f64 y) (*.f64 z (fma.f64 x (/.f64 x (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
Outputs
(neg.f64 (*.f64 z (sin.f64 y)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
Calls

4 calls:

16.0ms
x
16.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0ms
z
16.0ms
y
Results
AccuracySegmentsBranch
65.9%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
80.9%4y
74.9%3x
77.6%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes50.0ms (0.4%)

Memory
13.8MiB live, 133.4MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 z y))
(fma.f64 z (*.f64 y #s(literal -2 binary64)) x)
(*.f64 z (/.f64 x z))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (*.f64 z y))
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 x x) (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y z x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y z x)) y) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
(*.f64 z (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z y))))) y))
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 x z)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(fma.f64 (neg.f64 y) (*.f64 z (fma.f64 x (/.f64 x (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 x (cos.f64 y))
Calls

3 calls:

17.0ms
z
16.0ms
x
15.0ms
y
Results
AccuracySegmentsBranch
70.4%3x
68.4%3z
74.6%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes65.0ms (0.6%)

Memory
-8.0MiB live, 148.9MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 z y))
(fma.f64 z (*.f64 y #s(literal -2 binary64)) x)
(*.f64 z (/.f64 x z))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)
(neg.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) (neg.f64 z)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 y x)) x)
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (*.f64 z y))
(fma.f64 (*.f64 x (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 z y))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 x x) (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y z x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 z #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (fma.f64 z y (fma.f64 x (/.f64 x (*.f64 z y)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z y)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y z x)) y) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y z x)) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(*.f64 y (-.f64 (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z y))) (/.f64 x y)) z) (/.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))
(*.f64 z (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z y))))) y))
(*.f64 z (fma.f64 (neg.f64 x) (/.f64 x (*.f64 z (*.f64 z y))) (-.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z y))) (/.f64 x z)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(fma.f64 (neg.f64 y) (*.f64 z (fma.f64 x (/.f64 x (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))) (/.f64 (*.f64 x x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))
Outputs
(-.f64 x (*.f64 z y))
Calls

4 calls:

17.0ms
z
16.0ms
x
15.0ms
y
15.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
55.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
55.2%1z
55.2%1x
55.2%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
Outputs
(*.f64 y (neg.f64 z))
x
(*.f64 y (neg.f64 z))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
47.5%3z
42.6%1x
42.6%1y
42.6%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory
-28.4MiB live, 10.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
42.6%1y
42.6%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch39.0ms (0.3%)

Memory
31.3MiB live, 69.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
4.716546795618427e-155
3.998172522527021e-137
17.0ms
-1.2252074260590615e-12
-1.8423111635843712e-16
Samples
26.0ms288×0valid
Compiler

Compiled 339 to 248 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 7.0ms (40.7% of total)
ival-sin: 5.0ms (29.1% of total)
ival-mult: 4.0ms (23.3% of total)
ival-sub: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch75.0ms (0.6%)

Memory
-32.1MiB live, 86.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
6.5135351284878e+101
2.3214599113815443e+109
23.0ms
0.05697368627319835
986002768.7319077
23.0ms
-168601.82275955408
-3.155191205944546e-9
Samples
44.0ms464×0valid
Compiler

Compiled 728 to 511 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 10.0ms (36.5% of total)
ival-sin: 9.0ms (32.8% of total)
ival-mult: 6.0ms (21.9% of total)
ival-sub: 2.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
5.3MiB live, 42.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.04248925675235628
0.05697368627319835
22.0ms
-156611155751.32388
-168601.82275955408
Samples
25.0ms192×0valid
Compiler

Compiled 339 to 230 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (41.3% of total)
ival-sin: 5.0ms (34.4% of total)
ival-mult: 3.0ms (20.6% of total)
ival-sub: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory
8.7MiB live, 54.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
4.4906709579632695e+192
1.0586168827396714e+200
17.0ms
-1.734775413278444e+189
-9.786730227004747e+182
Samples
24.0ms288×0valid
Compiler

Compiled 249 to 194 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (35.3% of total)
ival-sin: 6.0ms (35.3% of total)
ival-mult: 4.0ms (23.5% of total)
ival-sub: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
14×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049137
171137
289137
397137
4101137
5102137
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 z #s(literal 3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(if (<=.f64 y #s(literal -3458764513820541/72057594037927936 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (if (<=.f64 y #s(literal 6200000000000000075534559792007636360427849551837258002005769092576659642444119329284079717274990074134528 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -170000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -118000000000000002425483115684511321059831138985271495317639752170022665986240275298667158502977256909517304571615511963107774190908614342565577910334303898593944286717004248529542053888 binary64)) (*.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 460000000000000010203349638342635622741113307782460032398476937875572126758299593744696732778579303390103281101730739828077976713519129493623058571476447433322576179412641585642559582545425465344 binary64)) x (*.f64 y (neg.f64 z))))
x
Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 z #s(literal 3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(if (<=.f64 z #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 z #s(literal 3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(if (<=.f64 y #s(literal -3458764513820541/72057594037927936 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (if (<=.f64 y #s(literal 6200000000000000075534559792007636360427849551837258002005769092576659642444119329284079717274990074134528 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -3458764513820541/72057594037927936 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (if (<=.f64 y #s(literal 6200000000000000075534559792007636360427849551837258002005769092576659642444119329284079717274990074134528 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -170000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -170000 binary64)) (*.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -118000000000000002425483115684511321059831138985271495317639752170022665986240275298667158502977256909517304571615511963107774190908614342565577910334303898593944286717004248529542053888 binary64)) (*.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 460000000000000010203349638342635622741113307782460032398476937875572126758299593744696732778579303390103281101730739828077976713519129493623058571476447433322576179412641585642559582545425465344 binary64)) x (*.f64 y (neg.f64 z))))
x

soundness1.2s (10.1%)

Memory
20.0MiB live, 804.9MiB allocated
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
10 986×lower-fma.f64
10 986×lower-fma.f32
8 138×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010509594
136359431
084129161
06935123
121964966
267324903
084354781
025141
048133
1185131
21414126
08169126
097624
1292619
2837613
32075607
43601607
56258607
08452586
0819
01319
13319
221019
3196419
0837919
05894946
119014860
259354828
082734735
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 360 to 198 computations (45% saved)

preprocess82.0ms (0.7%)

Memory
-10.5MiB live, 102.9MiB allocated
Compiler

Compiled 304 to 114 computations (62.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...