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

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample2.1s (25.6%)

Memory
5.7MiB live, 1 785.7MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-cos: 527.0ms (43.8% of total)
ival-sin: 406.0ms (33.8% of total)
ival-mult: 203.0ms (16.9% of total)
ival-add: 55.0ms (4.6% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain108.0ms (1.3%)

Memory
6.1MiB live, 185.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
52.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 11.0ms (31.3% of total)
ival-sin: 11.0ms (31.3% of total)
ival-mult: 7.0ms (19.9% of total)
ival-add: 5.0ms (14.2% of total)
ival-true: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess78.0ms (0.9%)

Memory
-16.5MiB live, 58.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
568881
686181
794781
8102581
9109181
10110581
11111081
12111281
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify3.0ms (0%)

Memory
5.0MiB live, 5.0MiB 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-diff128
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (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 (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)

localize42.0ms (0.5%)

Memory
-15.7MiB live, 62.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.01171875
(+.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
32.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (36.1% of total)
ival-sin: 6.0ms (36.1% of total)
ival-mult: 4.0ms (24.1% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB 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
@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)))

simplify195.0ms (2.4%)

Memory
-10.3MiB live, 224.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1295616
2891610
32075604
43736604
56393604
08811554
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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))
(* 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
Outputs
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
x
(fma.f64 z y x)
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(fma.f64 (fma.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 (*.f64 y y) 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)) 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 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.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 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.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 (sin.f64 y) z)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

rewrite209.0ms (2.5%)

Memory
-0.4MiB live, 281.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
12919
218519
3183619
0838618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
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eval35.0ms (0.4%)

Memory
-1.7MiB live, 77.2MiB allocated
Compiler

Compiled 8 799 to 565 computations (93.6% saved)

prune21.0ms (0.3%)

Memory
32.0MiB live, 68.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New25416270
Fresh000
Picked101
Done000
Total25516271
Accuracy
99.9%
Counts
271 → 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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.8%
(fma.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
55.5%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.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)))
55.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
35.7%
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
28.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
77.6%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
55.8%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
35.7%
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.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)))))
50.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
50.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
52.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
43.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
58.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 746 to 452 computations (39.4% saved)

simplify139.0ms (1.7%)

Memory
-27.2MiB live, 135.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
cost-diff0
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
cost-diff0
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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))))
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff128
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
cost-diff128
(neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
cost-diff27712
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
cost-diff0
(fma.f64 z y x)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032287
053266
195265
2233263
3819263
42230263
55281263
67285263
08126263
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
#s(literal 1 binary64)
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(fma.f64 (-.f64 (*.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize113.0ms (1.4%)

Memory
-7.6MiB live, 189.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f64 (sin.f64 y) z)
accuracy0.23835761722130416
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
accuracy3.6952918583020584
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
accuracy40.14708447045622
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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))))
accuracy0.17578125
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
accuracy0.22722626953688402
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy2.6445209291510294
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy28.005736521546293
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
accuracy0
(sin.f64 y)
accuracy0.12890625
(*.f64 (sin.f64 y) z)
accuracy35.89220862214785
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
accuracy0
(fma.f64 z y x)
accuracy30.6084465684528
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.0703125
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.109375
(*.f64 (cos.f64 y) x)
Samples
75.0ms256×0valid
Compiler

Compiled 570 to 64 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 11.0ms (20.1% of total)
ival-pow: 9.0ms (16.4% of total)
ival-sin: 8.0ms (14.6% of total)
ival-pow2: 8.0ms (14.6% of total)
ival-add: 6.0ms (10.9% of total)
ival-cos: 5.0ms (9.1% of total)
ival-div: 3.0ms (5.5% of total)
ival-sub: 2.0ms (3.6% of total)
ival-neg: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series96.0ms (1.2%)

Memory
-2.7MiB live, 162.0MiB allocated
Counts
17 → 516
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 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
26.0ms
x
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
8.0ms
z
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
7.0ms
y
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
7.0ms
z
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
7.0ms
y
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))

simplify204.0ms (2.5%)

Memory
35.0MiB live, 270.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06436658
122266271
084445967
Stop Event
iter limit
node limit
Counts
516 → 504
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* (pow x 2) (pow (cos y) 2))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(* 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 (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* (pow x 3) (pow (cos y) 3))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (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 (* 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))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* -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)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (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)))
(/ (- (* -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)
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* -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)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z)))))
(* (pow z 3) (pow (sin y) 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (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)))
(* -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))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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 (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ 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)))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(pow x 2)
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z))))
(pow x 3)
(+ (* -3/2 (* (pow x 3) (pow y 2))) (pow x 3))
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (pow z 3)))) (pow x 3))
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (+ (* 7/8 (* (pow x 3) y)) (pow z 3))))) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (+ (* -1/2 (* (pow y 2) (pow z 3))) (pow z 3)))
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* 13/120 (* (pow y 2) (pow z 3))))) (pow z 3)))
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* (pow y 2) (+ (* -41/3024 (* (pow y 2) (pow z 3))) (* 13/120 (pow z 3)))))) (pow z 3)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(/ 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 (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos 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)))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y))))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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Outputs
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
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(*.f64 (cos.f64 y) x)
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(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
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(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
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x
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(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
x
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(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (cos.f64 y) x)
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(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
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(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
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(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.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 (-.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.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 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))))) (neg.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))

rewrite261.0ms (3.1%)

Memory
-5.5MiB live, 351.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032187
053140
1214139
21520139
08394139
Stop Event
iter limit
node limit
iter limit
Counts
17 → 946
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
Outputs
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eval344.0ms (4.1%)

Memory
5.2MiB live, 636.1MiB allocated
Compiler

Compiled 74 250 to 3 454 computations (95.3% saved)

prune62.0ms (0.8%)

Memory
14.4MiB live, 176.1MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1 951191 970
Fresh8311
Picked235
Done000
Total1 961251 986
Accuracy
100.0%
Counts
1 986 → 25
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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
49.3%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
76.8%
(fma.f64 (sin.f64 y) z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
77.6%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
82.3%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
28.2%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (*.f64 (cos.f64 y) x)))))
30.2%
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
20.8%
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
50.6%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
84.2%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
88.4%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
58.3%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
50.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
52.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
21.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
52.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
22.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z))
43.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
43.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
19.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
19.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
19.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
45.4%
#s(approx (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
Compiler

Compiled 1 304 to 808 computations (38% saved)

simplify178.0ms (2.1%)

Memory
3.4MiB live, 157.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
cost-diff128
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
cost-diff320
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
cost-diff320
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
cost-diff0
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058345
092338
1155329
2327325
3890325
42071323
53923323
66623323
08157320
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(literal -1 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
(cos.f64 y)
y
(/.f64 x z)
x
z
(sin.f64 y)
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.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 (neg.f64 z) z)
(neg.f64 z)
z
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
#s(literal 1 binary64)
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
Outputs
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(literal -1 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(cos.f64 y)
y
(/.f64 x z)
x
z
(sin.f64 y)
(/.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(cos.f64 y)
x

localize259.0ms (3.1%)

Memory
0.4MiB live, 285.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy9.764411112761357
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
accuracy28.005736521546293
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
accuracy33.37656858435149
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
accuracy0
(cos.f64 y)
accuracy0
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
accuracy0.2401159100033448
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
accuracy7.169909565892739
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
accuracy0.0234375
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
accuracy0.046875
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy0.16015625
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
accuracy31.587600886689128
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy0
(*.f64 z y)
accuracy28.969285714666892
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy30.6084465684528
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy0.0703125
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.109375
(*.f64 (cos.f64 y) x)
accuracy0.18359375
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy0.234375
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Samples
163.0ms256×0valid
Compiler

Compiled 645 to 111 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-sub: 30.0ms (25.3% of total)
ival-mult: 28.0ms (23.6% of total)
ival-add: 15.0ms (12.7% of total)
ival-pow: 12.0ms (10.1% of total)
ival-div: 7.0ms (5.9% of total)
ival-sin: 7.0ms (5.9% of total)
ival-pow2: 7.0ms (5.9% of total)
ival-cos: 5.0ms (4.2% of total)
const: 4.0ms (3.4% of total)
ival-neg: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series119.0ms (1.4%)

Memory
-30.7MiB live, 165.3MiB allocated
Counts
21 → 648
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.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 (sin.f64 y) z (*.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 (sin.f64 y) z (*.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 (sin.f64 y) z (*.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 (sin.f64 y) z (*.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 (sin.f64 y) z (*.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 (sin.f64 y) z (*.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.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 (+ (* z y) x) (*.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 (+ (* z y) x) (*.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 (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* z y) 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>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
9.0ms
z
@0
((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
8.0ms
y
@-inf
((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
6.0ms
z
@-inf
((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
6.0ms
y
@inf
((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
4.0ms
z
@inf
((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))

simplify205.0ms (2.5%)

Memory
3.3MiB live, 283.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07077659
124237219
087896756
Stop Event
iter limit
node limit
Counts
648 → 632
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
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Outputs
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
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(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 (sin.f64 y) z))) x) (cos.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (cos.f64 y) x) z)
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x))
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x))
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 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 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

rewrite213.0ms (2.6%)

Memory
36.7MiB live, 347.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058273
092266
1338233
22297233
08954231
Stop Event
iter limit
node limit
iter limit
Counts
21 → 702
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
(cos.f64 y)
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(*.f64 (cos.f64 y) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
Outputs
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eval267.0ms (3.2%)

Memory
20.8MiB live, 433.5MiB allocated
Compiler

Compiled 61 468 to 3 299 computations (94.6% saved)

prune145.0ms (1.7%)

Memory
-40.1MiB live, 222.8MiB allocated
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New1 454231 477
Fresh61117
Picked415
Done033
Total1 464381 502
Accuracy
100.0%
Counts
1 502 → 38
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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
49.3%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
77.6%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
46.1%
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
46.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
35.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
58.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (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))) (neg.f64 x))))
38.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (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))))
43.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
36.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
30.2%
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
9.4%
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) x)))))
20.8%
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (sin y) z) (* (cos y) x))) (*.f64 (neg.f64 z) (sin.f64 y)))))
50.6%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
64.8%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
84.2%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
44.3%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) (sin.f64 y)) z))
69.1%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
58.3%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
45.9%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
47.3%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
32.0%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
51.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
20.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x))
34.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
34.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) 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))) (fma.f64 z y x))
21.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
52.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
43.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
19.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
19.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
19.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
Compiler

Compiled 2 443 to 1 471 computations (39.8% saved)

simplify175.0ms (2.1%)

Memory
13.4MiB live, 203.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)
cost-diff6080
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y))
cost-diff6848
(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff0
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
cost-diff0
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)
cost-diff0
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
cost-diff0
(/.f64 (cos.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
cost-diff0
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062404
090392
1165392
2346390
3823383
41631383
52743383
64340383
76671383
08272364
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/2 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
z
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y))
(pow.f64 z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64)))
(cos.f64 y)
y
(pow.f64 x #s(literal -1 binary64))
x
(sin.f64 y)
Outputs
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/2 binary64)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) z) (*.f64 (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) z)))
#s(approx (* (sin y) z) (*.f64 (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) z))
(*.f64 (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) z)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z)
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z)
z
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(pow.f64 z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
(pow.f64 x #s(literal -1 binary64))
x
(sin.f64 y)

localize238.0ms (2.9%)

Memory
18.9MiB live, 384.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(pow.f64 x #s(literal -1 binary64))
accuracy0.13671875
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y))
accuracy0.236660009768442
(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64)))
accuracy7.169909565892739
(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)
accuracy0.12890625
(*.f64 (sin.f64 y) z)
accuracy0.1875
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
accuracy0.234375
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
accuracy35.89040106944148
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
accuracy0.04296875
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy3.2671614714482224
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
accuracy31.62551356727223
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))
accuracy35.89220862214785
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
accuracy0
(*.f64 y y)
accuracy6.690116656122408
(*.f64 (*.f64 y y) x)
accuracy26.827802683141183
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))
accuracy31.587600886689128
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
accuracy0
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
accuracy0.11328125
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
accuracy0.1171875
(/.f64 (cos.f64 y) z)
accuracy7.169909565892739
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
Samples
201.0ms256×0valid
Compiler

Compiled 708 to 123 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 63.0ms (38.8% of total)
ival-div: 34.0ms (21% of total)
ival-add: 20.0ms (12.3% of total)
ival-pow: 19.0ms (11.7% of total)
ival-sin: 7.0ms (4.3% of total)
const: 7.0ms (4.3% of total)
ival-cos: 6.0ms (3.7% of total)
ival-pow2: 2.0ms (1.2% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (1%)

Memory
-6.7MiB live, 191.7MiB allocated
Counts
24 → 660
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1))
6.0ms
z
@-inf
((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1))
6.0ms
y
@inf
((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1))
4.0ms
y
@0
((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1))
4.0ms
z
@inf
((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1))

simplify203.0ms (2.4%)

Memory
-11.3MiB live, 382.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05867624
120167048
276817038
081196535
Stop Event
iter limit
node limit
Counts
660 → 648
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(/ (* x (cos y)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ (* x (cos y)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z)))))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z)))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z))))
(/ x z)
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* -1/2 (* x (pow y 2))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ 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)))))))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(* 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)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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 z)
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(/ 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)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))))
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))))
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))))
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (cos y) z)
(/ (cos y) z)
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Outputs
(*.f64 (cos.f64 y) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y))) #s(literal 0 binary64)) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(/.f64 (*.f64 (cos.f64 y) x) z)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z)
(/.f64 (cos.f64 y) z)
(/.f64 (cos.f64 y) z)
(/.f64 (cos.f64 y) z)
(/.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
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(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (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 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 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 (neg.f64 z) (/.f64 (sin.f64 y) (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 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.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 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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 (*.f64 (cos.f64 y) x) z)
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x))
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x))
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (neg.f64 (cos.f64 y))) (*.f64 (sin.f64 y) z))) (neg.f64 x)) (cos.f64 y)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)

rewrite221.0ms (2.7%)

Memory
15.2MiB live, 330.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062358
090346
1377292
22742292
08304280
Stop Event
iter limit
node limit
iter limit
Counts
24 → 416
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)
(*.f64 (*.f64 y y) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y))
(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
(*.f64 y y)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(pow.f64 x #s(literal -1 binary64))
Outputs
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eval161.0ms (1.9%)

Memory
6.3MiB live, 324.9MiB allocated
Compiler

Compiled 49 263 to 2 482 computations (95% saved)

prune131.0ms (1.6%)

Memory
-19.2MiB live, 298.3MiB allocated
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New1 104201 124
Fresh141529
Picked325
Done044
Total1 121411 162
Accuracy
100.0%
Counts
1 162 → 41
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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
49.3%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
77.6%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
46.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
35.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
33.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
58.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (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))) (neg.f64 x))))
43.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z)))
43.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y))))
43.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))))))
43.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
19.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
36.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
19.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
19.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
19.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
30.2%
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
50.6%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
64.8%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y)) z))
90.5%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (sin.f64 y)) z))
88.7%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (+.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z))
58.3%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
45.9%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
47.3%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
32.0%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
20.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x))
34.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
2.7%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
52.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
21.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
43.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
19.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
19.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y)))
19.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y)))
19.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
Compiler

Compiled 3 919 to 1 219 computations (68.9% saved)

regimes119.0ms (1.4%)

Memory
35.7MiB live, 193.2MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.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))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (+.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (sin.f64 y)) z))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y)) z))
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (sin y) z) (* (cos y) x))) (*.f64 (neg.f64 z) (sin.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (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 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (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))) (neg.f64 x))))
(fma.f64 (sin.f64 y) z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
#s(approx (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (*.f64 (cos.f64 y) x)))))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.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 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.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 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Calls

4 calls:

38.0ms
z
29.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
24.0ms
y
24.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes98.0ms (1.2%)

Memory
-46.0MiB live, 85.7MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.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))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

55.0ms
x
16.0ms
z
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
y
Results
AccuracySegmentsBranch
89.6%3x
82.9%4y
89.1%3z
77.6%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes90.0ms (1.1%)

Memory
25.3MiB live, 102.7MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.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))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

36.0ms
y
32.0ms
z
10.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
10.0ms
x
Results
AccuracySegmentsBranch
63.6%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
81.6%5y
74.9%3z
80.6%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes55.0ms (0.7%)

Memory
-20.4MiB live, 59.3MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.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))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

3 calls:

23.0ms
z
22.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
69.0%3z
74.9%3y
69.4%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes57.0ms (0.7%)

Memory
-0.2MiB live, 75.5MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.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))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

19.0ms
x
9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
y
9.0ms
z
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)

regimes6.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB 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 (+ (* z y) x) (*.f64 z y)))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Calls

4 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
19.7%1y
19.7%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.7%1x
19.7%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch70.0ms (0.8%)

Memory
-0.6MiB live, 77.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
2.99520320317134e+41
2.3378014705212747e+62
38.0ms
-9.423873243069685e+153
-6.526481622212868e+151
Samples
55.0ms288×0valid
Compiler

Compiled 444 to 410 computations (7.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 32.0ms (67.1% of total)
ival-cos: 7.0ms (14.7% of total)
ival-sin: 7.0ms (14.7% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch61.0ms (0.7%)

Memory
10.0MiB live, 81.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
3.528695574079803e+28
4.258655926795692e+31
25.0ms
-5.772139200411518e-73
-1.9402543305835266e-76
Samples
48.0ms256×0valid
Compiler

Compiled 460 to 398 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.8% of total)
ival-sin: 5.0ms (31.5% of total)
ival-mult: 3.0ms (18.9% of total)
ival-add: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch79.0ms (0.9%)

Memory
6.5MiB live, 89.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
47.0ms
0.0008105783715325085
81.16568437584831
28.0ms
-72.1402902541629
-5.309294607893827e-15
Samples
31.0ms304×0valid
Compiler

Compiled 867 to 660 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 15.0ms (66% of total)
ival-cos: 3.0ms (13.2% of total)
ival-sin: 3.0ms (13.2% of total)
ival-add: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify43.0ms (0.5%)

Memory
-8.3MiB live, 70.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057204
165204
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(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)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5908722711110091/288230376151711744 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5908722711110091/288230376151711744 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness854.0ms (10.3%)

Memory
-24.8MiB live, 594.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1295616
2891610
32075604
43736604
56393604
08811554
06436658
122266271
084445967
0819
01319
12919
218519
3183619
0838618
07077659
124237219
087896756
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 324 to 142 computations (56.2% saved)

preprocess128.0ms (1.5%)

Memory
20.5MiB live, 139.2MiB allocated
Compiler

Compiled 426 to 132 computations (69% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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