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

Time bar (total: 11.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.6s (14%)

Memory
-143.1MiB live, 1 640.4MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 753.0ms
ival-cos: 272.0ms (36.1% of total)
ival-sin: 240.0ms (31.9% of total)
ival-mult: 194.0ms (25.8% of total)
ival-sub: 37.0ms (4.9% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain169.0ms (1.5%)

Memory
1.9MiB live, 127.4MiB 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
75.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-cos: 11.0ms (35.3% of total)
ival-sin: 11.0ms (35.3% of total)
ival-mult: 7.0ms (22.5% of total)
ival-sub: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess91.0ms (0.8%)

Memory
-10.7MiB live, 67.6MiB 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)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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)

simplify14.0ms (0.1%)

Memory
-18.4MiB live, 18.0MiB 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)

localize33.0ms (0.3%)

Memory
17.5MiB live, 54.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.109375
(*.f64 x (cos.f64 y))
accuracy0.12890625
(*.f64 z (sin.f64 y))
Samples
27.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (38.3% of total)
ival-sin: 5.0ms (31.9% of total)
ival-mult: 3.0ms (19.2% of total)
ival-sub: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB 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
1.0ms
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)))
1.0ms
x
@-inf
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify158.0ms (1.4%)

Memory
-2.5MiB live, 149.6MiB 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)

rewrite211.0ms (1.9%)

Memory
9.3MiB live, 292.3MiB 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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eval85.0ms (0.7%)

Memory
-7.2MiB live, 113.7MiB allocated
Compiler

Compiled 13 261 to 742 computations (94.4% saved)

prune35.0ms (0.3%)

Memory
-4.2MiB live, 73.6MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New31015325
Fresh000
Picked011
Done000
Total31016326
Accuracy
99.9%
Counts
326 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.2%
(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)))))
75.4%
(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))
82.3%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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)))))
55.5%
(/.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)))
35.8%
(/.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))))
55.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
20.2%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #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 (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))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.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))) #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)))
35.7%
(/.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))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
77.6%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.6%
#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))
50.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
52.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
44.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
58.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 793 to 442 computations (44.3% saved)

simplify132.0ms (1.2%)

Memory
9.7MiB live, 130.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff0
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
cost-diff0
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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)))))
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
cost-diff0
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
cost-diff14208
(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))
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
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036280
061261
1107261
2221261
3789261
44761261
56270261
08220261
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
#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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(literal -1 binary64)
#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 (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))
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
#s(literal 0 binary64)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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)))))
x
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(literal -1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x))
(fma.f64 y (neg.f64 z) x)
x
(*.f64 y z)
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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
#s(literal 1 binary64)
(*.f64 (sin.f64 y) z)
#s(literal 0 binary64)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 x x) (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
x
(*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(sin.f64 y)
z
(*.f64 x (cos.f64 y))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)

localize148.0ms (1.3%)

Memory
-40.4MiB live, 287.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.22722626953688402
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy0.23828125
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy0.258476269536884
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy13.27614669824042
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy0.12890625
(*.f64 (sin.f64 y) z)
accuracy0.1875
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy0.22722626953688402
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy15.579342816630891
(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))
accuracy0
(cos.f64 y)
accuracy0.109375
(*.f64 (cos.f64 y) x)
accuracy26.602212482607257
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy0
(-.f64 x (*.f64 z y))
accuracy0
(*.f64 z y)
accuracy30.585750423147665
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy0.0703125
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy0.109375
(*.f64 (cos.f64 y) x)
accuracy0.1796875
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Samples
88.0ms256×0valid
Compiler

Compiled 562 to 73 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 26.0ms (39.8% of total)
ival-add: 7.0ms (10.7% of total)
ival-div: 6.0ms (9.2% of total)
ival-sin: 6.0ms (9.2% of total)
ival-cos: 5.0ms (7.6% of total)
ival-pow2: 5.0ms (7.6% of total)
ival-pow: 4.0ms (6.1% of total)
ival-neg: 3.0ms (4.6% of total)
ival-sub: 2.0ms (3.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (0.8%)

Memory
28.9MiB live, 188.1MiB allocated
Counts
21 → 588
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<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 (neg.f64 z) #<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 (*.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<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 (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 #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 (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #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
16.0ms
x
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
8.0ms
y
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
8.0ms
z
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
6.0ms
z
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
6.0ms
y
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))

simplify220.0ms (1.9%)

Memory
7.6MiB live, 234.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07267008
124396706
085646540
Stop Event
iter limit
node limit
Counts
588 → 576
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)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* 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)
(* -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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y 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)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (cos y))) (/ (sin y) x))))
(+ (cos y) (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (cos y)))))) (/ (sin y) x))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) 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)
(* -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 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* 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)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
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(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -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))))
(* 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))
(* 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) (* -1 (/ (* z (sin y)) x))))
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x)))
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(- (+ (cos y) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* z (sin y)) x))
(- (+ (cos y) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* z (sin y)) x)))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) 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 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) 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)) (* -1 (/ (* 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))))
(* 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))
(* 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))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))
(+ (cos y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x)))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
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 #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 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
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(*.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 (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 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.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))
(*.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)
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(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.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)
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(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x))
(cos.f64 y)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (-.f64 (*.f64 (/.f64 z (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (sin.f64 y) x)) z (cos.f64 y))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y))) z (/.f64 (neg.f64 (sin.f64 y)) x)) z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
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(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 z z))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
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(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x 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))
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(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) y)
(*.f64 (-.f64 (/.f64 x z) y) z)
(*.f64 (-.f64 (/.f64 x z) y) z)
(*.f64 (-.f64 (/.f64 x z) y) z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.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 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 x (/.f64 x z)) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (*.f64 x (/.f64 x z)) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))) z)
(*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 x (/.f64 x z)) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (*.f64 x (/.f64 x z)) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))) z)
(*.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (/.f64 x z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (sin.f64 y)))) z)
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (sin.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z)
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(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
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(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x)
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (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)
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 (sin.f64 y) z) x)) x)
(*.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 (sin.f64 y) z) x)) x)
(cos.f64 y)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (-.f64 (*.f64 (/.f64 z (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (sin.f64 y) x)) z (cos.f64 y))
(fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (cos.f64 y) (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) z) x))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 z z))
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x)
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 x x)))))) x)
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 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 (/.f64 #s(literal -1 binary64) (cos.f64 y)) #s(literal -1 binary64))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.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) #s(literal -1 binary64) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
x
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 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)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(cos.f64 y)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(-.f64 (cos.f64 y) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 (sin.f64 y) z)) x))
(-.f64 (cos.f64 y) (/.f64 (fma.f64 (sin.f64 y) z (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) (neg.f64 x))) x))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 z z))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))) x)

rewrite236.0ms (2.1%)

Memory
-6.5MiB live, 355.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036202
061158
1243158
21774151
010012151
Stop Event
iter limit
node limit
iter limit
Counts
21 → 2 558
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #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 (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))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
(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 0 binary64) (*.f64 (sin.f64 y) z))
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
Outputs
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eval1.2s (10.5%)

Memory
38.7MiB live, 948.0MiB allocated
Compiler

Compiled 153 730 to 6 235 computations (95.9% saved)

prune117.0ms (1%)

Memory
8.7MiB live, 350.2MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New3 715283 743
Fresh9110
Picked325
Done011
Total3 727323 759
Accuracy
100.0%
Counts
3 759 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) x) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
60.7%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
46.4%
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x))
43.2%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x))))
26.0%
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
26.0%
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64))
29.8%
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
26.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
35.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
58.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.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)))
38.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.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))))
99.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
36.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
44.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
77.6%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
50.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
90.5%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
88.4%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
44.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
52.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
46.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
58.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
34.2%
#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))
34.1%
#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))
36.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
43.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
19.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
34.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
34.2%
#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 1 422 to 1 018 computations (28.4% saved)

simplify111.0ms (1%)

Memory
-30.8MiB live, 166.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
cost-diff14528
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
cost-diff0
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
cost-diff0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y 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
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff0
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048314
077297
1120293
2237293
3872293
42588293
54244293
66744293
08105293
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (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)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(cos.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))
#s(literal 1 binary64)
x
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/6 binary64)
(*.f64 y z)
y
z
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
#s(literal 0 binary64)
(*.f64 (sin.f64 y) z)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
(cos.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))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/6 binary64)
(*.f64 y z)
y
z
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
x
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(*.f64 (neg.f64 z) z)
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
#s(literal 1 binary64)
(*.f64 (sin.f64 y) z)
#s(literal 0 binary64)
(*.f64 (sin.f64 y) z)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x

localize211.0ms (1.9%)

Memory
5.3MiB live, 159.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy0.28125
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy9.764411112761357
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))
accuracy15.579342816630891
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
accuracy0.109375
(*.f64 (cos.f64 y) x)
accuracy0.171875
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
accuracy26.61867803516808
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
accuracy0.0390625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
accuracy0.16015625
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x))
accuracy31.619794114149776
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
accuracy0.109375
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy26.602212482607257
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy28.56485475720765
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0703125
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy0.109375
(*.f64 (cos.f64 y) x)
accuracy0.17578125
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
Samples
116.0ms256×0valid
Compiler

Compiled 584 to 90 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-add: 26.0ms (27.4% of total)
ival-sin: 23.0ms (24.3% of total)
ival-mult: 19.0ms (20% of total)
ival-cos: 7.0ms (7.4% of total)
ival-div: 6.0ms (6.3% of total)
const: 4.0ms (4.2% of total)
ival-pow: 4.0ms (4.2% of total)
ival-neg: 2.0ms (2.1% of total)
ival-pow2: 2.0ms (2.1% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.7%)

Memory
7.9MiB live, 81.0MiB allocated
Counts
21 → 612
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) #<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 (neg.f64 z) #<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 #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z))))
4.0ms
x
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z))))
3.0ms
y
@-inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z))))
3.0ms
y
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z))))
3.0ms
z
@-inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z))))

simplify2.2s (19.2%)

Memory
-35.6MiB live, 249.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04987278
116427083
257776992
082246728
Stop Event
iter limit
node limit
Counts
612 → 603
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)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* 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)
(* -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)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(* -1/2 x)
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y 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)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* 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 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ 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)))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) 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)
(* -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)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* 1/6 (* y z))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* 1/6 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 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (sin y)))
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(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
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(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* 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 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
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(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
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(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
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(* -1 (* z (sin y)))
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(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
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(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
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(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x 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 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
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)))))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
x
(+ 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 (+ (* -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 (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* -1 z)
(- (* -1/2 (* x y)) z)
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)
(* -1/2 x)
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* 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)))))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* 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)))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2)))))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) 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)))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
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(- (* 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)
(+ (* -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)))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2))))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* 1/6 (* y z))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
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Outputs
(*.f64 x (cos.f64 y))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
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(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x)))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x)))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x)))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 x (cos.f64 y))
(*.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 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/.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 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/.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)) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.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) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.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 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/.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 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/.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)) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.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)

rewrite201.0ms (1.8%)

Memory
38.6MiB live, 265.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048257
077238
1266234
21805233
08691222
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 099
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (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)
#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(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
Outputs
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eval304.0ms (2.7%)

Memory
-12.2MiB live, 488.2MiB allocated
Compiler

Compiled 61 360 to 4 149 computations (93.2% saved)

prune219.0ms (1.9%)

Memory
17.2MiB live, 215.4MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1 793211 814
Fresh121224
Picked235
Done033
Total1 807391 846
Accuracy
100.0%
Counts
1 846 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
61.5%
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
26.0%
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
72.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))))
61.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (sin.f64 y) z))
29.8%
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
35.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
26.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x)))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))))
69.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
34.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #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)))))
34.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))))
36.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
44.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
34.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x)))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
77.6%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
51.3%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
50.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x))
51.3%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x))
20.4%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x))
34.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x))
34.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
90.5%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
44.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
34.1%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
52.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
46.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
58.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
34.2%
#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))
36.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
43.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
19.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
34.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
34.2%
#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 1 937 to 1 387 computations (28.4% saved)

simplify164.0ms (1.4%)

Memory
-13.0MiB live, 119.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
cost-diff192
(+.f64 #s(literal 0 binary64) z)
cost-diff1344
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))
cost-diff0
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z))
cost-diff0
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)
cost-diff0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))))
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 (- x (* z y)) (*.f64 (neg.f64 z) y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
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 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.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
055430
090386
1158366
2349360
3999360
42736354
55857354
08060354
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.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))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- x (* z 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
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 y z)
y
z
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))
(+.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
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))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- x (* z 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
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 y z)
y
z
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(neg.f64 z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) z)
z
#s(literal 0 binary64)
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x

localize149.0ms (1.3%)

Memory
6.4MiB live, 237.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (cos.f64 y) x)
accuracy0.17578125
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
accuracy31.448788817674732
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))
accuracy0.16015625
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))
accuracy0.19921875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))))
accuracy0.6678476383895299
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))
accuracy31.619794114149776
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
accuracy0.0859375
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy0.109375
(*.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)
accuracy26.602212482607257
#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))
accuracy31.7091063469697
#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)))
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy28.899728517968093
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy30.585750423147665
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
accuracy0.07421875
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
accuracy0.109375
(/.f64 (sin.f64 y) x)
accuracy6.04051996798832
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
Samples
116.0ms256×0valid
Compiler

Compiled 748 to 107 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 29.0ms (34.4% of total)
ival-add: 13.0ms (15.4% of total)
ival-div: 10.0ms (11.9% of total)
ival-neg: 7.0ms (8.3% of total)
ival-sin: 6.0ms (7.1% of total)
const: 6.0ms (7.1% of total)
ival-cos: 5.0ms (5.9% of total)
ival-pow: 4.0ms (4.7% of total)
ival-sub: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
-3.1MiB live, 116.4MiB allocated
Counts
25 → 708
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 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.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))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (* z 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) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.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 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z 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 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x))
4.0ms
y
@-inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z 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 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x))
3.0ms
z
@inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z 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 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x))
3.0ms
x
@-inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z 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 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x))
3.0ms
z
@0
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z 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 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x))

simplify224.0ms (2%)

Memory
19.2MiB live, 204.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06797747
122017546
272957479
082387197
Stop Event
iter limit
node limit
Counts
708 → 683
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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -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)))
(* -1/2 x)
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y 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 (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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)))
(/ 1 (* 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))
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(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 (sin.f64 y) x)
(/.f64 (sin.f64 y) x)
(/.f64 (sin.f64 y) x)
(/.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
x
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x)))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x)))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x)))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) (neg.f64 x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) (neg.f64 x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) (neg.f64 x))))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (neg.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))))) (neg.f64 x))) x)) (neg.f64 x))
(/.f64 #s(literal -2 binary64) x)
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 z y) x) #s(literal 2/3 binary64))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 z y) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) y) y) x) #s(literal -2/9 binary64))) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) z) y (/.f64 (fma.f64 (*.f64 #s(literal 2/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) y) #s(literal 2/9 binary64))) (neg.f64 x))) x)) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (neg.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))))) (neg.f64 x))) x)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

rewrite324.0ms (2.8%)

Memory
-30.0MiB live, 271.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055360
090315
1350299
22558278
08997276
Stop Event
iter limit
node limit
iter limit
Counts
25 → 841
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.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))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- x (* z 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) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))
(+.f64 #s(literal 0 binary64) z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
Outputs
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eval471.0ms (4.1%)

Memory
39.0MiB live, 548.3MiB allocated
Compiler

Compiled 67 306 to 5 461 computations (91.9% saved)

prune151.0ms (1.3%)

Memory
-14.0MiB live, 258.1MiB allocated
Pruning

46 alts after pruning (38 fresh and 8 done)

PrunedKeptTotal
New1 684171 701
Fresh72128
Picked325
Done066
Total1 694461 740
Accuracy
100.0%
Counts
1 740 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
61.5%
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
26.0%
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
72.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))))
61.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (sin.f64 y) z))
29.8%
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
35.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
33.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
26.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x)))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))))
69.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
34.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #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)))))
34.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))))
36.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
44.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
77.6%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x))
51.3%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x))
50.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x))
51.3%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x))
20.4%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x))
34.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x))
34.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
90.5%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
90.5%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (neg.f64 z) (cos.f64 y)) x))
44.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
34.8%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
34.1%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
52.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
46.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
58.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
34.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
36.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)))
43.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
1.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y)))
10.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y)))
2.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y)))
19.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
2.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
34.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
34.2%
#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 3 544 to 1 297 computations (63.4% saved)

regimes198.0ms (1.7%)

Memory
-25.2MiB live, 276.7MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
#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 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #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 (- (* 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.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 (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #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))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (neg.f64 z) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(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))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.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) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.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)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.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 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (sin.f64 y) z))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x))
(/.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)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) x) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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)))))
(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 #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))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #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 (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))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.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))) #s(literal 2 binary64)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

79.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
59.0ms
z
30.0ms
x
26.0ms
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)

regimes149.0ms (1.3%)

Memory
8.0MiB live, 84.5MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
#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 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #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 (- (* 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.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 (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #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))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
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

4 calls:

71.0ms
z
48.0ms
x
14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms
y
Results
AccuracySegmentsBranch
89.8%3x
83.0%4y
89.2%3z
79.2%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes59.0ms (0.5%)

Memory
27.2MiB live, 104.1MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
#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 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #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 (- (* 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.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 (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #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))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.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))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

17.0ms
y
15.0ms
z
12.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
x
Results
AccuracySegmentsBranch
61.6%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
81.8%5y
75.1%3z
80.6%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes84.0ms (0.7%)

Memory
-7.1MiB live, 103.6MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
#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 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #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 (- (* 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.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 (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #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))) (*.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

3 calls:

37.0ms
y
14.0ms
z
12.0ms
x
Results
AccuracySegmentsBranch
69.0%3z
74.9%3y
69.5%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes169.0ms (1.5%)

Memory
3.6MiB live, 88.9MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
#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 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #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 (- (* 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.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 (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #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)))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

130.0ms
y
13.0ms
z
11.0ms
x
11.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
52.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.2%1z
52.2%1x
52.2%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.1%)

Memory
-11.9MiB live, 23.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
#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 z) y)))
Outputs
#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 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Calls

4 calls:

5.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
36.7%1y
43.7%3x
36.7%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
40.9%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
#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

3 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
36.7%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
36.7%1z
36.7%1x
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes7.0ms (0.1%)

Memory
-22.5MiB live, 16.3MiB 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))) #s(approx (- x (* z y)) (*.f64 z y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
Calls

4 calls:

2.0ms
z
1.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.9%1x
2.9%1z
2.9%1y
2.9%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch46.0ms (0.4%)

Memory
5.9MiB live, 88.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
2.99520320317134e+41
2.3378014705212747e+62
15.0ms
-9.423873243069685e+153
-6.526481622212868e+151
Samples
27.0ms288×0valid
Compiler

Compiled 462 to 428 computations (7.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (37.6% of total)
ival-sin: 6.0ms (32.2% of total)
ival-mult: 4.0ms (21.5% of total)
ival-sub: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch95.0ms (0.8%)

Memory
-12.3MiB live, 64.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
2.99520320317134e+41
2.3378014705212747e+62
47.0ms
-5.772139200411518e-73
-1.9402543305835266e-76
Samples
54.0ms272×0valid
Compiler

Compiled 563 to 489 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 34.0ms (72.7% of total)
ival-cos: 6.0ms (12.8% of total)
ival-sin: 5.0ms (10.7% of total)
ival-sub: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
37.8MiB live, 37.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.0008105783715325085
81.16568437584831
17.0ms
-72.1402902541629
-5.309294607893827e-15
Samples
19.0ms304×0valid
Compiler

Compiled 753 to 584 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.9% of total)
ival-cos: 3.0ms (26.9% of total)
ival-sin: 3.0ms (26.9% of total)
ival-sub: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
-28.2MiB live, 23.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
4.477127375320379e-66
2.9201303951611046e-64
24.0ms
-5.772139200411518e-73
-1.9402543305835266e-76
Samples
28.0ms224×0valid
Compiler

Compiled 552 to 434 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 5.0ms (39.2% of total)
ival-sin: 4.0ms (31.3% of total)
ival-mult: 3.0ms (23.5% of total)
ival-sub: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify32.0ms (0.3%)

Memory
0.7MiB live, 39.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066278
189278
2108278
3117278
4123278
5125278
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 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 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2000000000000000089771425356151833571098624 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8214565720323785/288230376151711744 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 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 2845706385096283/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))
Outputs
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2000000000000000089771425356151833571098624 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8214565720323785/288230376151711744 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 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 2845706385096283/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y)))

soundness891.0ms (7.8%)

Memory
15.8MiB live, 556.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055360
090315
1350299
22558278
08997276
07267008
124396706
085646540
097624
1292619
2840613
32068607
43601607
56264607
08468586
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 387 to 171 computations (55.8% saved)

preprocess160.0ms (1.4%)

Memory
-7.8MiB live, 120.5MiB allocated
Compiler

Compiled 574 to 144 computations (74.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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