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

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (20.3%)

Memory
-152.5MiB live, 1 828.6MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 763.0ms
ival-sin: 264.0ms (34.6% of total)
ival-cos: 220.0ms (28.8% of total)
ival-mult: 183.0ms (24% of total)
ival-sub: 85.0ms (11.1% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain123.0ms (1.4%)

Memory
36.1MiB live, 149.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
58.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (43.2% of total)
ival-cos: 10.0ms (24% of total)
ival-sin: 10.0ms (24% of total)
ival-sub: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess74.0ms (0.8%)

Memory
-60.5MiB live, 45.0MiB allocated
Algorithm
egg-herbie
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
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (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 9 to 8 computations (11.1% saved)

simplify11.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Algorithm
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12024
23224
34424
46524
59524
615324
722324
828224
931124
1032724
032724
Stop Event
iter limit
saturated
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
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize35.0ms (0.4%)

Memory
-9.5MiB live, 63.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.01953125
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.1015625
(*.f64 z (sin.f64 y))
accuracy0.13671875
(*.f64 x (cos.f64 y))
Samples
29.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (41.3% of total)
ival-cos: 5.0ms (29.5% of total)
ival-mult: 4.0ms (23.6% of total)
ival-sub: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-18.6MiB live, 26.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
2.0ms
z
@0
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
z
@inf
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
y
@inf
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
x
@0
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify203.0ms (2.2%)

Memory
19.3MiB live, 237.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097624
1292619
2840613
32068607
43601607
56264607
08468586
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin 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)))
(* z (sin y))
(* z (sin y))
(* z (sin 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)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 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)))
(* 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)))))))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin 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))
(* x (cos 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))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* 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))
(* x (cos y))
(* x (cos y))
(* x (cos y))
Outputs
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
x
(-.f64 x (*.f64 z y))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
x
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

rewrite251.0ms (2.8%)

Memory
9.0MiB live, 300.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13319
221019
3196419
0837919
Stop Event
iter limit
node limit
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
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eval43.0ms (0.5%)

Memory
-8.6MiB live, 107.9MiB allocated
Compiler

Compiled 13 261 to 742 computations (94.4% saved)

prune19.0ms (0.2%)

Memory
21.7MiB live, 59.7MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New31015325
Fresh000
Picked101
Done000
Total31115326
Accuracy
99.9%
Counts
326 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
64.3%
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
50.4%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
34.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
34.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64))))
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
79.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
99.8%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
58.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
58.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
58.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
39.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
60.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 648 to 410 computations (36.7% saved)

simplify126.0ms (1.4%)

Memory
-2.8MiB live, 182.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff128
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
cost-diff26560
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff28032
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031254
051219
188217
2191217
3564205
41962205
55180205
08165205
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
Outputs
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
x
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 z (sin.f64 y))
#s(literal 2 binary64)
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))

localize144.0ms (1.6%)

Memory
-11.1MiB live, 327.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.2265625
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
accuracy3.343735550811441
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy31.000879370430212
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
accuracy0
(neg.f64 z)
accuracy0
(cos.f64 y)
accuracy0.0546875
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
accuracy0.13671875
(*.f64 (cos.f64 y) x)
accuracy0
(cos.f64 y)
accuracy0.13671875
(*.f64 (cos.f64 y) x)
accuracy24.951271312047414
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy0
(*.f64 z y)
accuracy0.0078125
(-.f64 x (*.f64 z y))
accuracy26.4860094521693
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy0.015625
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
accuracy0.046875
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.0546875
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy0.13671875
(*.f64 (cos.f64 y) x)
Samples
118.0ms256×0valid
Compiler

Compiled 507 to 61 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-div: 29.0ms (29.6% of total)
ival-sub: 25.0ms (25.6% of total)
ival-mult: 18.0ms (18.4% of total)
ival-cos: 10.0ms (10.2% of total)
ival-sin: 6.0ms (6.1% of total)
ival-pow2: 5.0ms (5.1% of total)
ival-add: 3.0ms (3.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series137.0ms (1.5%)

Memory
14.9MiB live, 134.1MiB allocated
Counts
18 → 528
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
71.0ms
z
@0
((* (+ (* (sin y) z) (* (cos y) x)) (/ (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (sin y) z) (* (cos y) x)))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) (neg z)) (* (cos y) x)) (neg z) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (+ (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
24.0ms
x
@0
((* (+ (* (sin y) z) (* (cos y) x)) (/ (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (sin y) z) (* (cos y) x)))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) (neg z)) (* (cos y) x)) (neg z) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (+ (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
6.0ms
y
@inf
((* (+ (* (sin y) z) (* (cos y) x)) (/ (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (sin y) z) (* (cos y) x)))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) (neg z)) (* (cos y) x)) (neg z) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (+ (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
6.0ms
z
@-inf
((* (+ (* (sin y) z) (* (cos y) x)) (/ (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (sin y) z) (* (cos y) x)))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) (neg z)) (* (cos y) x)) (neg z) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (+ (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
4.0ms
y
@-inf
((* (+ (* (sin y) z) (* (cos y) x)) (/ (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (sin y) z) (* (cos y) x)))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) (neg z)) (* (cos y) x)) (neg z) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (+ (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))

simplify219.0ms (2.4%)

Memory
-15.3MiB live, 137.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04395489
114315380
248405353
083225176
Stop Event
iter limit
node limit
Counts
528 → 515
Calls
Call 1
Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* 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)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
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(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* x (cos y))
(* x (cos 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
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* 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))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x)
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x)
(* 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))))
(* -1 (* x (cos y)))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* 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 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* 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
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* 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 (* 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))))
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos 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))))
(* -1 (* x (cos y)))
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(* 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))))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
Outputs
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 z y))
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 x) (cos.f64 y))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (sin.f64 y) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 y) z)
(*.f64 (-.f64 (/.f64 x z) y) z)
(*.f64 (-.f64 (/.f64 x z) y) z)
(*.f64 (-.f64 (/.f64 x z) y) z)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z)))) z)
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z))))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z)
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z)
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (fma.f64 (*.f64 x (/.f64 x (neg.f64 z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(*.f64 (fma.f64 (*.f64 x (/.f64 x (neg.f64 z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(*.f64 (fma.f64 (*.f64 x (/.f64 x (neg.f64 z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (sin.f64 y) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 y) z)
(*.f64 (-.f64 (/.f64 x z) y) z)
(*.f64 (-.f64 (/.f64 x z) y) z)
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(*.f64 z y)
(*.f64 z y)
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(*.f64 z y)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(neg.f64 z)
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(neg.f64 z)
(neg.f64 z)
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x (/.f64 x z)) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z)) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z)
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z)
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(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
x
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(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (cos.f64 y) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
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(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
x
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (cos.f64 y) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
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(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (neg.f64 x) (cos.f64 y))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))

rewrite331.0ms (3.6%)

Memory
21.5MiB live, 213.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031184
051149
1207135
21460135
09128135
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 549
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(cos.f64 y)
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(neg.f64 z)
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 z) (sin.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
Outputs
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eval514.0ms (5.7%)

Memory
-0.9MiB live, 747.2MiB allocated
Compiler

Compiled 108 415 to 4 556 computations (95.8% saved)

prune92.0ms (1%)

Memory
35.1MiB live, 347.5MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New2 647272 674
Fresh9110
Picked325
Done000
Total2 659302 689
Accuracy
100.0%
Counts
2 689 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
36.6%
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
79.1%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
51.6%
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
18.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
30.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))))
36.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
60.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
41.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
51.4%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z (*.f64 (cos.f64 y) x))))
57.6%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))
87.3%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))))
46.0%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
90.9%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
87.9%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
39.3%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
58.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
58.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
58.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
29.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
60.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
40.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
41.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
44.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
19.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
51.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
40.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
Compiler

Compiled 1 617 to 1 037 computations (35.9% saved)

simplify122.0ms (1.3%)

Memory
-22.5MiB live, 168.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
cost-diff5824
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))
cost-diff7104
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff0
(/.f64 (sin.f64 y) x)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
cost-diff0
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
cost-diff704
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040253
058252
197252
2194248
3527244
41771184
55258184
08022184
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(neg.f64 z)
z
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(neg.f64 z)
z
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize97.0ms (1.1%)

Memory
-6.0MiB live, 184.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))
accuracy0.046875
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
accuracy0.07421875
(*.f64 x (cos.f64 y))
accuracy0.23503876953688402
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy0
(sin.f64 y)
accuracy0
(neg.f64 z)
accuracy0.05859375
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy18.77157794998124
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.12890625
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
accuracy19.42544110663028
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x))
accuracy0.07421875
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy11.906244954117547
#s(approx (cos y) #s(literal 1 binary64))
accuracy14.234421674890225
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy0
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
accuracy0.05078125
(/.f64 (sin.f64 y) x)
accuracy0.0625
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
accuracy2.6573892982005
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
Samples
47.0ms133×0valid
29.0ms123×0invalid
Compiler

Compiled 476 to 73 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-pow2: 12.0ms (23.8% of total)
ival-mult: 11.0ms (21.8% of total)
ival-div: 6.0ms (11.9% of total)
ival-sin: 6.0ms (11.9% of total)
ival-cos: 6.0ms (11.9% of total)
ival-sub: 3.0ms (6% of total)
ival-add: 2.0ms (4% of total)
ival-sqrt: 2.0ms (4% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
-7.2MiB live, 112.2MiB allocated
Counts
18 → 504
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
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#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@0
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (neg z) (sin y) (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (+ (* (neg z) (sin y)) (* x (cos y))) (* x (cos y)))
6.0ms
z
@inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (neg z) (sin y) (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (+ (* (neg z) (sin y)) (* x (cos y))) (* x (cos y)))
4.0ms
x
@-inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (neg z) (sin y) (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (+ (* (neg z) (sin y)) (* x (cos y))) (* x (cos y)))
4.0ms
y
@-inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (neg z) (sin y) (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (+ (* (neg z) (sin y)) (* x (cos y))) (* x (cos y)))
4.0ms
y
@inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (neg z) (sin y) (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (+ (* (neg z) (sin y)) (* x (cos y))) (* x (cos y)))

simplify190.0ms (2.1%)

Memory
-13.3MiB live, 218.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05716263
118326101
263296057
084335866
Stop Event
iter limit
node limit
Counts
504 → 494
Calls
Call 1
Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* 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)))
(* 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 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 1 (* x (cos y))))
(+ (* z (+ (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(sqrt (* x (cos y)))
(+ (sqrt (* x (cos y))) (* -1/2 (* (sqrt (/ 1 (* x (cos y)))) (* z (sin y)))))
(+ (sqrt (* x (cos y))) (* z (+ (* -1/2 (* (sqrt (/ 1 (* x (cos y)))) (sin y))) (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (pow (sin y) 2)))))))
(+ (sqrt (* x (cos y))) (* z (+ (* -1/2 (* (sqrt (/ 1 (* x (cos y)))) (sin y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (pow (sin y) 2))) (* -1/16 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* z (pow (sin y) 3)))))))))
(* 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)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (/ (* z (sin y)) x))
(* 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)))
(* 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)))
(* 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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(* -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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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)))
(* (sqrt (* z (sin y))) (sqrt -1))
(* z (+ (* 1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (sin y)))))) (* (sqrt (/ (sin y) z)) (sqrt -1))))
(* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (cos y) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))))) (+ (* 1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (sin y)))))) (* (sqrt (/ (sin y) z)) (sqrt -1)))))
(* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (cos y) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow (cos y) 3)) (pow (sqrt -1) 5)) (sqrt (/ 1 (* (pow z 7) (pow (sin y) 5)))))) (+ (* 1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (sin y)))))) (* (sqrt (/ (sin y) z)) (sqrt -1))))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* 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 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* (sqrt (* z (sin y))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (sin y)))))) (* (sqrt (/ (sin y) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))))) (+ (* 1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (sin y)))))) (* (sqrt (/ (sin y) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow (cos y) 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (sin y) 5)))))) (+ (* 1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (sin y)))))) (* (sqrt (/ (sin y) z)) (sqrt -1)))))))
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(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 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)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
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x
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(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))))
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))))
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(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(* -1 (* z (sin y)))
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(sqrt (+ (* -1 (* z (sin y))) (* x (cos y))))
(sqrt (+ (* -1 (* z (sin y))) (* x (cos y))))
(sqrt (+ (* -1 (* z (sin y))) (* x (cos y))))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
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(* x (cos y))
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(* -1 (* z (sin y)))
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(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
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(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (/ 1 (* z (sin y))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
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(+ (* -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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(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
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(+ (* x (+ (* -1/8 (* (/ (* x (pow (cos y) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* 1/2 (* (sqrt (/ 1 (* z (sin y)))) (/ (cos y) (sqrt -1)))))) (* (sqrt (* z (sin y))) (sqrt -1)))
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(/ 1 x)
(/ 1 x)
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(sqrt (* x (cos y)))
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(/ 1 x)
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(/ 1 x)
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(* -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))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (cos y)))) (* z (sin y)))) (* (sqrt (/ (cos y) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (cos y)))) (* z (sin y)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 3)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (sqrt -1) 2)))) (* (sqrt (/ (cos y) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (cos y)))) (* z (sin y)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 3)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (sqrt -1) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (cos y) 5)))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (sqrt -1) 4)))) (* (sqrt (/ (cos y) x)) (pow (sqrt -1) 2)))))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(* x (cos y))
(* x (cos y))
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Outputs
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(cos.f64 y)
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(sqrt.f64 (*.f64 (cos.f64 y) x))
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(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (cos.f64 y))) (sqrt.f64 (/.f64 (cos.f64 y) x)))) x)
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (cos.f64 y))) (sqrt.f64 (/.f64 (cos.f64 y) x)))) x)
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(cos.f64 y)
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
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(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/.f64 #s(literal 1 binary64) x)
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(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
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(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (cos.f64 y))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 y) x))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (cos.f64 y))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 y) x)))))))
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

rewrite287.0ms (3.2%)

Memory
11.3MiB live, 309.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040227
058222
1228162
21367162
08457162
Stop Event
iter limit
node limit
iter limit
Counts
18 → 560
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(/.f64 (sin.f64 y) x)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(sin.f64 y)
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
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eval553.0ms (6.1%)

Memory
4.8MiB live, 310.9MiB allocated
Compiler

Compiled 42 935 to 2 446 computations (94.3% saved)

prune141.0ms (1.5%)

Memory
-20.1MiB live, 230.5MiB allocated
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1 138181 156
Fresh111223
Picked235
Done022
Total1 151351 186
Accuracy
100.0%
Counts
1 186 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
79.1%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
22.7%
(pow.f64 (pow.f64 #s(approx (+ (* (neg z) (sin y)) (* x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
51.4%
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)))) #s(literal 2 binary64))
51.3%
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
29.3%
(pow.f64 #s(approx (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (sqrt.f64 (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
30.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))))
39.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
36.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
39.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
41.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
57.6%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))
87.3%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))))
51.7%
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
58.2%
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
58.6%
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
87.9%
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
46.0%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
74.3%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.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 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
87.2%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
81.7%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) x))
80.3%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal -1 binary64))))
39.3%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
30.5%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
90.8%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
19.5%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
19.7%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
60.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
40.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
41.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
44.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
51.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
40.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
Compiler

Compiled 2 109 to 1 329 computations (37% saved)

simplify121.0ms (1.3%)

Memory
2.8MiB live, 199.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64))
cost-diff0
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 y))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)
cost-diff0
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y))
cost-diff0
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
cost-diff0
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
cost-diff0
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
cost-diff704
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056418
084418
1135415
2257411
3631407
41827347
55184347
67774347
08067347
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(literal 1 binary64)
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)
(/.f64 #s(literal -1 binary64) (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)
y
z
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
#s(literal 3/4 binary64)
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(literal 1 binary64)
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)
(/.f64 #s(literal -1 binary64) (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)
y
z
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 3/4 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 3/4 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
#s(literal 3/4 binary64)
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize122.0ms (1.3%)

Memory
-3.1MiB live, 275.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.04296875
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64))
accuracy0.05859375
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy0.1875
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
accuracy0.0546875
(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy0.09765625
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)
accuracy0.12890625
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
accuracy18.837741433572294
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
accuracy0.02734375
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy0.07421875
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
accuracy12.96915605985502
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy14.234421674890225
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy12.858965979856263
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y))
accuracy18.77157794998124
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
accuracy0.05078125
(/.f64 (sin.f64 y) x)
accuracy0.05859375
(/.f64 (cos.f64 y) z)
accuracy0.1171875
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
accuracy2.6573892982005
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
Samples
51.0ms133×0valid
39.0ms123×0invalid
Compiler

Compiled 726 to 102 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 20.0ms (29.1% of total)
ival-div: 10.0ms (14.6% of total)
ival-cos: 7.0ms (10.2% of total)
ival-pow: 7.0ms (10.2% of total)
ival-sin: 6.0ms (8.7% of total)
ival-pow2: 5.0ms (7.3% of total)
ival-add: 4.0ms (5.8% of total)
ival-sub: 4.0ms (5.8% of total)
const: 4.0ms (5.8% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series218.0ms (2.4%)

Memory
5.0MiB live, 447.9MiB allocated
Counts
24 → 636
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
61.0ms
y
@inf
((* (- (/ (cos y) z) (/ (sin y) x)) z) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (/ -1 (sin y)) z) (/ -1 (sin y)) (* (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 1/4)) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* 1/24 (* y y)) -1/2) (* (neg z) (sin y)))
31.0ms
x
@-inf
((* (- (/ (cos y) z) (/ (sin y) x)) z) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (/ -1 (sin y)) z) (/ -1 (sin y)) (* (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 1/4)) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* 1/24 (* y y)) -1/2) (* (neg z) (sin y)))
28.0ms
y
@-inf
((* (- (/ (cos y) z) (/ (sin y) x)) z) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (/ -1 (sin y)) z) (/ -1 (sin y)) (* (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 1/4)) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* 1/24 (* y y)) -1/2) (* (neg z) (sin y)))
9.0ms
x
@inf
((* (- (/ (cos y) z) (/ (sin y) x)) z) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (/ -1 (sin y)) z) (/ -1 (sin y)) (* (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 1/4)) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* 1/24 (* y y)) -1/2) (* (neg z) (sin y)))
8.0ms
z
@inf
((* (- (/ (cos y) z) (/ (sin y) x)) z) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (neg z) (sin y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (/ -1 (sin y)) z) (/ -1 (sin y)) (* (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 1/4)) (pow (+ (* (cos y) x) (* (neg z) (sin y))) 3/4) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* 1/24 (* y y)) -1/2) (* (neg z) (sin y)))

simplify458.0ms (5.1%)

Memory
17.3MiB live, 292.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08409587
128689311
088179019
Stop Event
iter limit
node limit
Counts
636 → 628
Calls
Call 1
Inputs
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* 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)))
(* x (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)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* 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)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 1 (* x (cos y))))
(+ (* z (+ (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -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)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4)
(+ (* 1/4 (* (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4) (* z (+ (* -2 (/ (sin y) (* x (cos y)))) (* -1 (/ (sin y) (* x (cos y)))))))) (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4) (+ (* -2 (/ (sin y) (* x (cos y)))) (* -1 (/ (sin y) (* x (cos y))))))) (* (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4) (* z (+ (* 1/32 (pow (+ (* -2 (/ (sin y) (* x (cos y)))) (* -1 (/ (sin y) (* x (cos y))))) 2)) (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y))))) 2) (* (pow x 6) (pow (cos y) 6)))) (* 2 (/ (+ (* 2 (* x (* (cos y) (pow (sin y) 2)))) (* x (* (cos y) (pow (sin y) 2)))) (* (pow x 3) (pow (cos y) 3))))))))))) (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4) (+ (* -2 (/ (sin y) (* x (cos y)))) (* -1 (/ (sin y) (* x (cos y))))))) (* z (+ (* (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4) (* z (+ (* 1/384 (pow (+ (* -2 (/ (sin y) (* x (cos y)))) (* -1 (/ (sin y) (* x (cos y))))) 3)) (+ (* 1/32 (* (+ (* -2 (/ (sin y) (* x (cos y)))) (* -1 (/ (sin y) (* x (cos y))))) (+ (* -1 (/ (pow (+ (* -2 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y))))) 2) (* (pow x 6) (pow (cos y) 6)))) (* 2 (/ (+ (* 2 (* x (* (cos y) (pow (sin y) 2)))) (* x (* (cos y) (pow (sin y) 2)))) (* (pow x 3) (pow (cos y) 3))))))) (* 1/24 (+ (* -6 (/ (* (+ (* -2 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y))))) (+ (* 2 (* x (* (cos y) (pow (sin y) 2)))) (* x (* (cos y) (pow (sin y) 2))))) (* (pow x 6) (pow (cos y) 6)))) (+ (* -6 (/ (pow (sin y) 3) (* (pow x 3) (pow (cos y) 3)))) (* 2 (/ (pow (+ (* -2 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y))))) 3) (* (pow x 9) (pow (cos y) 9))))))))))) (* (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4) (+ (* 1/32 (pow (+ (* -2 (/ (sin y) (* x (cos y)))) (* -1 (/ (sin y) (* x (cos y))))) 2)) (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y))))) 2) (* (pow x 6) (pow (cos y) 6)))) (* 2 (/ (+ (* 2 (* x (* (cos y) (pow (sin y) 2)))) (* x (* (cos y) (pow (sin y) 2)))) (* (pow x 3) (pow (cos y) 3)))))))))))) (pow (* 1 (* (pow x 3) (pow (cos y) 3))) 1/4))
(* x (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) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (/ (* z (sin y)) x))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* -1 (* z (sin y)))
(* 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)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (/ (* z (sin y)) x))
(* 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)))
(* 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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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)))
(* 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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin 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)))
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(+ (exp (* 1/4 (+ (log (* -1 (pow (cos y) 3))) (* -3 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (pow (cos y) 3))) (* -3 (log (/ -1 x)))))) (+ (* -1/32 (/ (* (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y))))) (+ (* -2 (/ (+ (* -2 (* (pow z 2) (* (cos y) (pow (sin y) 2)))) (* -1 (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y))))) 2) (pow (cos y) 6))))) (pow (cos y) 3))) (+ (* -1/384 (/ (pow (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y))))) 3) (pow (cos y) 9))) (* 1/24 (+ (* -6 (/ (* (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y))))) (+ (* -2 (* (pow z 2) (* (cos y) (pow (sin y) 2)))) (* -1 (* (pow z 2) (* (cos y) (pow (sin y) 2)))))) (pow (cos y) 6))) (+ (* -2 (/ (pow (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y))))) 3) (pow (cos y) 9))) (* 6 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 3))))))))) x)) (* (exp (* 1/4 (+ (log (* -1 (pow (cos y) 3))) (* -3 (log (/ -1 x)))))) (+ (* 1/32 (/ (pow (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y))))) 2) (pow (cos y) 6))) (* 1/8 (+ (* -2 (/ (+ (* -2 (* (pow z 2) (* (cos y) (pow (sin y) 2)))) (* -1 (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y))))) 2) (pow (cos y) 6)))))))) x)) (* -1/4 (/ (* (exp (* 1/4 (+ (log (* -1 (pow (cos y) 3))) (* -3 (log (/ -1 x)))))) (+ (* -2 (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* z (* (pow (cos y) 2) (sin y)))))) (pow (cos y) 3)))) 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))))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
Outputs
(cos.f64 y)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(cos.f64 y)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) x) (cos.f64 y)) #s(literal -3 binary64)) z) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (*.f64 z (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) x) (cos.f64 y)) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 y) x) (cos.f64 y)) #s(literal -3 binary64))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)))) z (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (/.f64 (/.f64 (sin.f64 y) x) (cos.f64 y))) #s(literal -3 binary64) (*.f64 (*.f64 z (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (cos.f64 y) x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 x x)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal 2 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 y) x) (cos.f64 y)) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) x) (cos.f64 y)) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/384 binary64)))) z (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) x) (cos.f64 y)) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))))) z (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/.f64 (cos.f64 y) z)
(/.f64 (cos.f64 y) z)
(/.f64 (cos.f64 y) z)
(/.f64 (cos.f64 y) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z)) (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z)
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 z)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
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(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (neg.f64 x))) x))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 6 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal -1/384 binary64)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (neg.f64 x))) (neg.f64 x))) x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 x) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))
(/.f64 (sin.f64 y) x)
(/.f64 (sin.f64 y) x)
(/.f64 (sin.f64 y) x)
(/.f64 (sin.f64 y) x)

rewrite234.0ms (2.6%)

Memory
1.2MiB live, 281.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056366
084352
1315289
22172289
08554289
Stop Event
iter limit
node limit
iter limit
Counts
24 → 501
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
(/.f64 (cos.f64 y) z)
(/.f64 (sin.f64 y) x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 (neg.f64 z) (sin.f64 y))
Outputs
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eval186.0ms (2.1%)

Memory
16.3MiB live, 349.8MiB allocated
Compiler

Compiled 57 598 to 3 225 computations (94.4% saved)

prune107.0ms (1.2%)

Memory
-9.3MiB live, 205.5MiB allocated
Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New1 372131 385
Fresh42125
Picked325
Done055
Total1 379411 420
Accuracy
100.0%
Counts
1 420 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
79.1%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
22.7%
(pow.f64 (pow.f64 #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
22.7%
(pow.f64 (pow.f64 #s(approx (+ (* (neg z) (sin y)) (* x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
29.3%
(pow.f64 #s(approx (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (sqrt.f64 (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
30.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))))
39.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
36.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
39.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
19.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
19.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
41.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
19.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
57.6%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))
87.3%
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))))
22.6%
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 #s(approx (+ (* (cos y) x) (* (neg z) (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
58.2%
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
58.6%
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
87.9%
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
46.0%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
74.3%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.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 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
87.2%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
81.7%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) x))
80.3%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal -1 binary64))))
39.3%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
51.7%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
30.5%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
65.9%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
90.7%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (/.f64 (sin.f64 y) x)) z)) x))
90.8%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x))
19.7%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
11.1%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
19.5%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
19.7%
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
60.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
40.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
41.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
44.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
40.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
Compiler

Compiled 3 742 to 1 264 computations (66.2% saved)

regimes97.0ms (1.1%)

Memory
-6.4MiB live, 195.2MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) (sqrt.f64 (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (/.f64 (sin.f64 y) x)) z)) x))
(pow.f64 (pow.f64 #s(approx (+ (* (neg z) (sin y)) (* x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 #s(approx (+ (* (cos y) x) (* (neg z) (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal -1 binary64))))
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.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 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
Calls

4 calls:

24.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.0ms
x
23.0ms
z
22.0ms
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 12 to 17 computations (-41.7% saved)

regimes51.0ms (0.6%)

Memory
-4.1MiB live, 111.7MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
(-.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:

13.0ms
x
13.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
y
11.0ms
z
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 12 to 17 computations (-41.7% saved)

regimes48.0ms (0.5%)

Memory
29.6MiB live, 110.5MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
Outputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

13.0ms
z
12.0ms
y
10.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
10.0ms
x
Results
AccuracySegmentsBranch
87.4%3x
79.1%1y
86.9%3z
79.1%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes13.0ms (0.1%)

Memory
-6.2MiB live, 33.2MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
87.1%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory
-3.8MiB live, 34.9MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
87.1%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.4%)

Memory
0.4MiB live, 91.4MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Calls

4 calls:

11.0ms
x
10.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
z
8.0ms
y
Results
AccuracySegmentsBranch
79.5%3y
66.6%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
78.9%4z
78.6%4x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
-8.5MiB live, 31.0MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
78.7%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.4%)

Memory
-17.1MiB live, 63.5MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* (neg z) (sin y)) (* x (cos y))) 1/2) 2) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (/ -1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (/ -1 (sin y)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

9.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms
y
8.0ms
z
8.0ms
x
Results
AccuracySegmentsBranch
58.6%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
58.6%1x
58.6%1z
58.6%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
58.6%1x
58.6%1z
58.6%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
58.6%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
-23.1MiB live, 15.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
Calls

4 calls:

3.0ms
x
2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
48.1%3x
48.6%3z
41.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
41.8%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Calls

2 calls:

1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
41.8%1x
41.8%1z
Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch34.0ms (0.4%)

Memory
4.3MiB live, 41.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
6.962975388663111e+43
2.9501929027149074e+44
17.0ms
-1.0588204252015306e+158
-1.3188150848489505e+155
Samples
23.0ms224×0valid
Compiler

Compiled 690 to 480 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (35.1% of total)
ival-sin: 5.0ms (35.1% of total)
ival-mult: 3.0ms (21.1% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.962975388663111e+43
2.9501929027149074e+44
11.0ms
-1.0588204252015306e+158
-1.3188150848489505e+155
Samples
7.0ms96×0valid
Compiler

Compiled 362 to 336 computations (7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (39.3% of total)
ival-mult: 1.0ms (19.6% of total)
ival-sin: 1.0ms (19.6% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.962975388663111e+43
2.9501929027149074e+44
1.0ms
-1.0588204252015306e+158
-1.3188150848489505e+155
Compiler

Compiled 362 to 336 computations (7.2% saved)

bsearch36.0ms (0.4%)

Memory
5.2MiB live, 42.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.0014537211253369334
0.007486110111272664
24.0ms
-2012749168.0888507
-43627.579137500165
Samples
24.0ms224×0valid
Compiler

Compiled 564 to 440 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 9.0ms (48.9% of total)
ival-sin: 5.0ms (27.2% of total)
ival-mult: 3.0ms (16.3% of total)
ival-sub: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-8.4MiB live, 32.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.007486110111272664
9.00692514337107e+26
1.0ms
-2012749168.0888507
-43627.579137500165
Samples
19.0ms176×0valid
Compiler

Compiled 753 to 584 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 8.0ms (55.8% of total)
ival-cos: 3.0ms (20.9% of total)
ival-mult: 2.0ms (14% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
4.7MiB live, 41.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.5938237295735952e+257
9.64879995259812e+258
20.0ms
-2.978809311629101e+129
-5.217884023505252e+125
Samples
20.0ms240×0valid
Compiler

Compiled 552 to 434 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (34.9% of total)
ival-sin: 4.0ms (27.9% of total)
ival-mult: 3.0ms (20.9% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.3%)

Memory
7.8MiB live, 45.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094433
1128433
2149433
3159433
4164433
5165433
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x)) (if (<=.f64 x #s(literal 165000000000000006632430067329163597803683840 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 165000000000000006632430067329163597803683840 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 165000000000000006632430067329163597803683840 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 2132904783522667/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 160000000000000004820425584022486800462477846363951220613137276784523861340423397251377977003063322170919014882747645250874709461869820375150159920319291519780458632987907420804166352904996728963587454884312166052610261638445649918662870599426822357538308096 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x)) (if (<=.f64 x #s(literal 165000000000000006632430067329163597803683840 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 165000000000000006632430067329163597803683840 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 165000000000000006632430067329163597803683840 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2132904783522667/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 160000000000000004820425584022486800462477846363951220613137276784523861340423397251377977003063322170919014882747645250874709461869820375150159920319291519780458632987907420804166352904996728963587454884312166052610261638445649918662870599426822357538308096 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

soundness1.3s (14.9%)

Memory
-12.9MiB live, 814.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097624
1292619
2840613
32068607
43601607
56264607
08468586
05716263
118326101
263296057
084335866
04395489
114315380
248405353
083225176
0819
01319
13319
221019
3196419
0837919
08409587
128689311
088179019
031184
051149
1207135
21460135
09128135
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 677 to 290 computations (57.2% saved)

preprocess146.0ms (1.6%)

Memory
18.2MiB live, 177.8MiB allocated
Compiler

Compiled 884 to 202 computations (77.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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