Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (17.1%)

Memory
26.6MiB live, 1 739.1MiB allocated
Samples
1.0s8 253×0valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 778.0ms
ival-cos: 326.0ms (41.9% of total)
ival-sin: 252.0ms (32.4% of total)
ival-add: 80.0ms (10.3% of total)
ival-mult: 73.0ms (9.4% of total)
ival-sub: 37.0ms (4.8% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain120.0ms (1.6%)

Memory
-6.8MiB live, 155.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (cos.f64 y))
00-0-(sin.f64 y)
00-0-y
00-0-z
00-0-(cos.f64 y)
00-0-(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.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
54.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 16.0ms (45.3% of total)
ival-cos: 10.0ms (28.3% of total)
ival-add: 3.0ms (8.5% of total)
ival-mult: 3.0ms (8.5% of total)
ival-sub: 2.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess64.0ms (0.8%)

Memory
16.7MiB live, 52.9MiB allocated
Algorithm
egg-herbie
Rules
400×lower-fma.f64
400×lower-fma.f32
358×sub-neg
352×cancel-sign-sub-inv
302×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
110184
224883
358383
4115183
5153083
6181483
7206983
8209283
089
0139
1229
2429
3669
4979
51519
62649
73989
84809
95289
105589
05589
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune3.0ms (0%)

Memory
-35.9MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify17.0ms (0.2%)

Memory
32.8MiB live, 32.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 x (cos.f64 y))
cost-diff0
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
400×lower-fma.f64
400×lower-fma.f32
160×lower-*.f32
158×lower-*.f64
120×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12224
24224
36624
49724
515124
626424
739824
848024
952824
1055824
055824
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
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize36.0ms (0.5%)

Memory
-16.6MiB live, 37.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 x (cos.f64 y))
accuracy0.0078125
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.1171875
(*.f64 z (sin.f64 y))
Samples
30.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (39.1% of total)
ival-sin: 5.0ms (32.5% of total)
ival-mult: 2.0ms (13% of total)
ival-sub: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-19.0MiB live, 19.8MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* y (- (* -1/2 y) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify138.0ms (1.8%)

Memory
19.7MiB live, 208.5MiB allocated
Algorithm
egg-herbie
Rules
10 746×lower-fma.f64
10 746×lower-fma.f32
3 588×lower-*.f64
3 588×lower-*.f32
2 024×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103612
1287607
2770605
32083601
44366601
56335601
08451579
Stop Event
iter limit
node limit
Counts
96 → 92
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(fma.f64 (*.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)) y) y (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(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))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) 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))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(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))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(- (cos y) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)

rewrite207.0ms (2.7%)

Memory
9.6MiB live, 208.4MiB allocated
Rules
4 620×lower-*.f32
4 618×lower-*.f64
4 548×lower-fma.f64
4 548×lower-fma.f32
2 418×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14719
238819
3563019
0822519
Stop Event
iter limit
node limit
iter limit
Counts
4 → 187
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
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(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (neg.f64 z) (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (cos.f64 y))
(+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (-.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (cos.f64 y) x))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (/.f64 (+.f64 (cos.f64 y) x) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (cos.f64 y) x) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))))
(*.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 x (cos.f64 y)) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 x (cos.f64 y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (cos.f64 y) x) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))))
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 y) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))

eval83.0ms (1.1%)

Memory
-28.4MiB live, 56.3MiB allocated
Compiler

Compiled 6 790 to 635 computations (90.6% saved)

prune12.0ms (0.2%)

Memory
27.6MiB live, 27.6MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New26712279
Fresh000
Picked101
Done000
Total26812280
Accuracy
99.9%
Counts
280 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
43.3%
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.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)))))
88.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
53.3%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
62.3%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
99.7%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
55.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
56.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
64.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
74.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
63.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
26.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 382 to 244 computations (36.1% saved)

simplify65.0ms (0.8%)

Memory
-5.8MiB live, 33.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 (cos.f64 y) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
cost-diff128
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 (cos.f64 y) x)
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
Rules
2 136×lower-fma.f32
2 132×lower-fma.f64
584×lower-*.f32
580×lower-*.f64
536×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026139
041139
171139
2114139
3210139
4329139
5504139
6836139
71289139
81806139
92021139
102069139
112069139
02069137
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(sin.f64 y)
y
(neg.f64 z)
z
(+.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
y
x
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y

localize91.0ms (1.2%)

Memory
-17.3MiB live, 79.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.0078125
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.1171875
(*.f64 z (sin.f64 y))
accuracy26.764125493408365
#s(approx (cos y) #s(literal 1 binary64))
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 (cos.f64 y) x)
accuracy16.335566430640082
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
accuracy0
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy27.863583348569485
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy23.561090378608508
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
accuracy0
(neg.f64 z)
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 (cos.f64 y) x)
accuracy0.0625
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
Samples
45.0ms256×0valid
Compiler

Compiled 117 to 21 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (31.2% of total)
ival-sin: 6.0ms (20.8% of total)
ival-add: 5.0ms (17.4% of total)
ival-cos: 5.0ms (17.4% of total)
ival-sub: 2.0ms (6.9% of total)
ival-neg: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-6.7MiB live, 31.4MiB allocated
Counts
16 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1/2 y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1/2 y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1/2 y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
2.0ms
y
@inf
((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms
y
@-inf
((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms
z
@0
((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms
z
@-inf
((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))

simplify220.0ms (2.9%)

Memory
-6.0MiB live, 146.5MiB allocated
Algorithm
egg-herbie
Rules
13 132×lower-fma.f64
13 132×lower-fma.f32
4 328×lower-*.f64
4 328×lower-*.f32
3 130×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01992986
15882831
215482813
346662785
082842646
Stop Event
iter limit
node limit
Counts
384 → 365
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1/2 y)
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 z)
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
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))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(* -1 z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
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)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(sin y)
(sin y)
(sin y)
(sin y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 y)
(* y (- (* -1 (/ z y)) 1/2))
(* y (- (* -1 (/ z y)) 1/2))
(* y (- (* -1 (/ z y)) 1/2))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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)))
(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)))
(+ 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) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(sin y)
(sin y)
(sin y)
(sin y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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)))
(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)))
(+ 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))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1 z) (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(+ (* -1 z) (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(+ (* -1 z) (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* -1/2 (/ y z)) 1))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(* z (- (* -1/2 (/ y z)) 1))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(* z (- (* -1/2 (/ y z)) 1))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(neg.f64 (fma.f64 z y (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(neg.f64 (fma.f64 z y (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(neg.f64 (fma.f64 z y (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x))))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(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)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 (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) x) #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
(* -1 z)
(neg.f64 z)
(- (* -1/2 y) z)
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(- (* -1/2 y) z)
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(- (* -1/2 y) z)
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(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))
(+ 1 x)
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(+ 1 (+ x (* -1 (* y z))))
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(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) x x)
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) x x)
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) x x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)

rewrite242.0ms (3.2%)

Memory
9.4MiB live, 165.4MiB allocated
Rules
5 422×lower-fma.f32
5 418×lower-fma.f64
4 166×lower-*.f32
4 162×lower-*.f64
4 044×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026112
041112
1175112
21481112
08380112
Stop Event
iter limit
node limit
iter limit
Counts
16 → 382
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(sin.f64 y)
(neg.f64 z)
(+.f64 (cos.f64 y) x)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(cos.f64 y)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (-.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 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (-.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 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.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 (fma.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.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)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (fma.f64 (neg.f64 z) (sin.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))) (*.f64 (cos.f64 y) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))) (*.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y))) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
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(/.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(fma.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (*.f64 (neg.f64 z) (sin.f64 y))))
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(approx (cos y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(approx (cos y) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

eval130.0ms (1.7%)

Memory
-1.6MiB live, 154.9MiB allocated
Compiler

Compiled 17 939 to 1 647 computations (90.8% saved)

prune50.0ms (0.7%)

Memory
39.4MiB live, 78.2MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New85414868
Fresh257
Picked145
Done000
Total85723880
Accuracy
99.9%
Counts
880 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
88.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
43.3%
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.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)))))
88.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
54.6%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
53.3%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
62.3%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
99.7%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
55.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
45.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
24.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
94.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y)))
39.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
64.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
74.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
48.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
63.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
26.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
2.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
9.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
47.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
28.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
18.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Compiler

Compiled 627 to 447 computations (28.7% saved)

simplify405.0ms (5.3%)

Memory
-9.6MiB live, 239.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 (sin.f64 y))
cost-diff0
(*.f64 (neg.f64 (sin.f64 y)) z)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
cost-diff0
(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) x)
cost-diff0
(+.f64 (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) x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
cost-diff0
#s(approx (+ 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
cost-diff6080
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
cost-diff27776
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
Rules
41 248×lower-fma.f32
41 236×lower-fma.f64
5 172×lower-+.f32
5 168×lower-+.f64
4 854×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040305
066325
1118325
2248283
31070283
43272283
08442283
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (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
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(neg.f64 z)
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))
(+.f64 (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) x) #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) 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))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
z
Outputs
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
x
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(neg.f64 z)
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))
#s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)))
(+.f64 (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) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #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) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.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))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
z

localize172.0ms (2.3%)

Memory
-24.8MiB live, 172.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0
(neg.f64 (sin.f64 y))
accuracy0.1171875
(*.f64 (neg.f64 (sin.f64 y)) z)
accuracy47.24820925583266
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
accuracy0.02734375
(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) x)
accuracy0.2643054270652889
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
accuracy16.335566430640082
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
accuracy28.656267410608024
#s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))
accuracy0
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy27.863583348569485
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
accuracy36.17380777284026
#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy23.561090378608508
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy36.17380777284026
#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy0.0625
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
accuracy0.0625
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
accuracy0.109375
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy0.16015625
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Samples
138.0ms256×0valid
Compiler

Compiled 251 to 39 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 36.0ms (35.7% of total)
ival-cos: 21.0ms (20.8% of total)
ival-sin: 17.0ms (16.9% of total)
ival-add: 11.0ms (10.9% of total)
const: 6.0ms (6% of total)
ival-pow: 4.0ms (4% of total)
ival-sub: 2.0ms (2% of total)
ival-neg: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (1%)

Memory
25.8MiB live, 62.2MiB allocated
Counts
20 → 540
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))) (patch #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (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) x) #s(literal 1 binary64)) (patch (+.f64 (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) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (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) x) (patch (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) x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (sin.f64 y)) z) (patch (*.f64 (neg.f64 (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y)))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y)))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1/2 y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1/2 y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1/2 y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) z) (patch (*.f64 (neg.f64 (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) z) (patch (*.f64 (neg.f64 (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) z) (patch (*.f64 (neg.f64 (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) z) (patch (*.f64 (neg.f64 (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ x (cos y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
32.0ms
x
@0
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* -1/720 (* y y)) 1/24))
5.0ms
y
@-inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* -1/720 (* y y)) 1/24))
3.0ms
y
@inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* -1/720 (* y y)) 1/24))
3.0ms
x
@inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* -1/720 (* y y)) 1/24))
3.0ms
z
@inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* -1/720 (* y y)) 1/24))

simplify221.0ms (2.9%)

Memory
15.7MiB live, 205.7MiB allocated
Algorithm
egg-herbie
Rules
7 464×lower-fma.f64
7 464×lower-fma.f32
4 832×lower-+.f64
4 832×lower-+.f32
4 600×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06276954
119276636
260056486
082666180
Stop Event
iter limit
node limit
Counts
540 → 514
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
1
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))
(+ x (cos y))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(* -1/2 y)
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(/ 1 (+ x (cos y)))
(+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
-1
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))
(* z (sin y))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* -1 z)
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
-1
(- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 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)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
1
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))
(+ 1 x)
(+ 1 (+ x (* y z)))
(+ 1 (+ x (* y (+ z (* -1/2 y)))))
(+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))
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))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(* -1 z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
x
(+ x (* -1/2 (pow y 2)))
(+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(/ 1 (+ 1 x))
(+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))
(+ 1 x)
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(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow 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 (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(sin y)
(sin y)
(sin y)
(sin y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* -1/2 y)
(* y (- (* -1 (/ z y)) 1/2))
(* y (- (* -1 (/ z y)) 1/2))
(* y (- (* -1 (/ z y)) 1/2))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 6)))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ x (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
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(* -1/720 (pow y 2))
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(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(sin y)
(sin y)
(sin y)
(sin y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1/2 y)
(* -1/2 y)
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(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
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(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
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(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ x (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(- (+ 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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(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
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(* -1 (sin y))
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(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ (+ (cos y) (* -1 (* z (sin y)))) (+ (cos y) (* z (sin y))))
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (/ 1 (+ (cos y) (* z (sin y)))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (+ (* x (- (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4))))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))
(+ (cos y) (* z (sin y)))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(/ 1 (+ (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
1
(- (+ 1 (* -1 (/ (* z (sin y)) x))) (/ (* z (sin y)) x))
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))) (/ (* z (sin y)) x))
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 3)))) (+ (/ (* z (sin y)) x) (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))
x
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
x
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
1
(+ 1 (* -1 (/ (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
1
#s(literal 1 binary64)
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x) #s(literal 3 binary64)))) x)
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+.f64 (/.f64 (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) (/.f64 (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y))))) x))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y))))) x))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (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)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (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)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (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)) x)))
x
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (*.f64 y y)) (/.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)) x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (*.f64 y y)) (/.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)) x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (*.f64 y y)) (/.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)) x) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (cos.f64 y))) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64))) x) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) #s(literal 1 binary64)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64)))

rewrite329.0ms (4.3%)

Memory
-40.6MiB live, 323.8MiB allocated
Rules
4 376×lower-*.f32
4 366×lower-*.f64
4 246×lower-/.f64
4 246×lower-/.f32
3 618×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040259
066279
1271237
22145237
08274237
Stop Event
iter limit
node limit
iter limit
Counts
20 → 550
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (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 (+ 1 x) #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))
(+.f64 (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) x) #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) x)
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(neg.f64 (sin.f64 y))
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
Outputs
(*.f64 (/.f64 (-.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)))) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))
(*.f64 (/.f64 (-.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 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (-.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 (*.f64 (neg.f64 (sin.f64 y)) z) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (-.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 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.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 (fma.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))
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(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 y (*.f64 #s(literal -1/720 binary64) y) #s(literal 1/24 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))

eval249.0ms (3.3%)

Memory
6.2MiB live, 480.4MiB allocated
Compiler

Compiled 37 489 to 2 954 computations (92.1% saved)

prune56.0ms (0.7%)

Memory
20.8MiB live, 178.6MiB allocated
Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New1 168181 186
Fresh5914
Picked325
Done044
Total1 176331 209
Accuracy
100.0%
Counts
1 209 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
88.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
43.3%
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.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)))))
88.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
54.6%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
53.3%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
56.2%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
26.1%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))))
62.8%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))))
40.9%
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)))
93.7%
(*.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (fma.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 (cos.f64 y) x)) x x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
93.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
17.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
25.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
39.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
64.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
74.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
48.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
63.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
26.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
8.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
8.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
9.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
20.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
2.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
47.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
47.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
17.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
28.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
17.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
47.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
18.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
8.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
Compiler

Compiled 1 054 to 742 computations (29.6% saved)

simplify126.0ms (1.7%)

Memory
23.5MiB live, 179.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (neg (sin y)) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
cost-diff0
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
cost-diff0
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
cost-diff896
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
Rules
8 464×lower-fma.f32
8 448×lower-fma.f64
2 748×lower-*.f32
2 742×lower-*.f64
1 672×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041321
069321
1125321
2200319
3383315
4725315
51481315
62734315
75036315
87824315
08259315
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(cos.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(*.f64 y y)
y
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(sin.f64 y)
y
(neg.f64 z)
z
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(cos.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.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)) y) y (-.f64 x #s(literal -1 binary64)))))
#s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (cos y) x) (fma.f64 (*.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)) y) y (-.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))
(fma.f64 (*.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)) y) y (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y)
(*.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)) y)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(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))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(*.f64 y y)
y
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(sin.f64 y)
y
(neg.f64 z)
z
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize123.0ms (1.6%)

Memory
-34.9MiB live, 256.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 z)
accuracy0.00390625
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy0.0625
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy26.764125493408365
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.024969989932729534
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))
accuracy0.2643054270652889
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
accuracy16.335566430640082
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
accuracy28.656267410608024
#s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)))
accuracy0.05794097661783103
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.29890763806269816
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy16.335566430640082
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
accuracy29.820440238114728
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0
(neg.f64 y)
accuracy0.1171875
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)
accuracy29.662331816384555
#s(approx (neg (sin y)) (neg.f64 y))
accuracy47.24820925583266
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
accuracy0
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
accuracy0.07421875
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
accuracy0.15234375
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
accuracy3.875508366247
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
Samples
96.0ms256×0valid
Compiler

Compiled 221 to 39 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 29.0ms (42.9% of total)
ival-add: 12.0ms (17.8% of total)
ival-cos: 7.0ms (10.4% of total)
const: 7.0ms (10.4% of total)
ival-sin: 6.0ms (8.9% of total)
ival-neg: 3.0ms (4.4% of total)
ival-div: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory
9.6MiB live, 90.5MiB allocated
Counts
23 → 516
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (patch (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (neg (sin y)) (neg.f64 y)) (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (patch (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (patch (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (patch (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (patch (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (* (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) y) (+ 1 x)) (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) (+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (+ (* 1/24 (* y y)) -1/2) (+ (* (* y y) -1/720) 1/24) (cos y))
2.0ms
y
@-inf
((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (* (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) y) (+ 1 x)) (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) (+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (+ (* 1/24 (* y y)) -1/2) (+ (* (* y y) -1/720) 1/24) (cos y))
2.0ms
x
@-inf
((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (* (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) y) (+ 1 x)) (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) (+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (+ (* 1/24 (* y y)) -1/2) (+ (* (* y y) -1/720) 1/24) (cos y))
2.0ms
x
@inf
((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (* (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) y) (+ 1 x)) (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) (+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (+ (* 1/24 (* y y)) -1/2) (+ (* (* y y) -1/720) 1/24) (cos y))
2.0ms
x
@0
((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (* (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) y) (+ 1 x)) (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) y) (+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (+ (* 1/24 (* y y)) -1/2) (+ (* (* y y) -1/720) 1/24) (cos y))

simplify165.0ms (2.2%)

Memory
-17.9MiB live, 261.3MiB allocated
Algorithm
egg-herbie
Rules
15 068×lower-fma.f64
15 068×lower-fma.f32
4 224×lower-*.f64
4 224×lower-*.f32
3 702×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02484088
17123984
218463958
353673896
083033728
Stop Event
iter limit
node limit
Counts
516 → 495
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ (cos y) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(cos y)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (/ (* z (sin y)) x))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(/ 1 x)
(+ (* -1 (/ (* y z) x)) (/ 1 x))
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x))
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* y (+ (* -1 z) (* -1/2 y))))
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* -1/2 y)
(* y (- (* 1/24 (pow y 2)) 1/2))
(* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
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))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
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 (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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)
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow 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)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 6)))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 5))
(* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(sin y)
(sin y)
(sin y)
(sin y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(cos y)
(cos y)
(cos y)
(cos y)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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)
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow 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)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 6)))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 5))
(* -1 (* (pow y 5) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow 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 (* z (sin y)))))
(sin y)
(sin y)
(sin y)
(sin y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(cos y)
(cos y)
(cos y)
(cos y)
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (* z (sin y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(+ (cos y) (* -1 (* z (sin y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(+ (cos y) (* -1 (* z (sin y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* -1 (/ (* z (sin y)) x))
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
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(+.f64 (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) x) #s(literal 1 binary64))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 (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) x) #s(literal 1 binary64))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 (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) x) #s(literal 1 binary64))
(+ (cos y) (* -1 (* z (sin y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(fma.f64 (fma.f64 (/.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)) x) (*.f64 y y) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(fma.f64 (fma.f64 (/.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)) x) (*.f64 y y) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(fma.f64 (fma.f64 (/.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)) x) (*.f64 y y) #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(fma.f64 (/.f64 (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)) x) x x)
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(fma.f64 (/.f64 (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)) x) x x)
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(fma.f64 (/.f64 (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)) x) x x)
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)

rewrite219.0ms (2.9%)

Memory
25.3MiB live, 418.1MiB allocated
Rules
6 100×lower-fma.f32
6 084×lower-fma.f64
4 768×lower-*.f32
4 762×lower-*.f64
4 452×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041275
069275
1294275
22309273
09627271
Stop Event
iter limit
node limit
iter limit
Counts
23 → 439
Calls
Call 1
Inputs
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y)
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(sin.f64 y)
(neg.f64 z)
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(approx (cos y) #s(literal 1 binary64))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) x)
(*.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 y (*.f64 #s(literal -1/720 binary64) y) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))))
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))
#s(approx (cos y) #s(literal 1 binary64))

eval251.0ms (3.3%)

Memory
-12.5MiB live, 339.2MiB allocated
Compiler

Compiled 20 667 to 2 457 computations (88.1% saved)

prune241.0ms (3.2%)

Memory
-9.4MiB live, 202.8MiB allocated
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New9619970
Fresh61622
Picked325
Done066
Total970331 003
Accuracy
100.0%
Counts
1 003 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
88.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
88.2%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
53.3%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
56.2%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
40.9%
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)))
93.7%
(*.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (fma.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 (cos.f64 y) x)) x x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
63.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
82.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (-.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (cos.f64 y))) x))
85.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (cos.f64 y)) #s(literal -1 binary64)) x)) x x))
89.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x))
63.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x))
17.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
25.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
39.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
64.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
74.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
48.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
48.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
63.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
26.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
8.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
9.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
20.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
2.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
47.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
17.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
28.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
17.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
47.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
18.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
8.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
8.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
Compiler

Compiled 1 407 to 647 computations (54% saved)

regimes209.0ms (2.7%)

Memory
29.9MiB live, 147.5MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) x)) x (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (-.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (cos.f64 y))) x))
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (cos.f64 y)) #s(literal -1 binary64)) x)) x x))
(*.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (fma.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 (cos.f64 y) x)) x x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (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 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 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))) (*.f64 (fma.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 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))))
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
Calls

4 calls:

79.0ms
z
74.0ms
y
37.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes218.0ms (2.9%)

Memory
-20.7MiB live, 100.3MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

70.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
69.0ms
x
65.0ms
z
12.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes164.0ms (2.1%)

Memory
14.9MiB live, 95.8MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Calls

4 calls:

70.0ms
y
11.0ms
x
11.0ms
z
11.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
98.6%3x
90.5%2y
99.6%3z
98.8%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes29.0ms (0.4%)

Memory
-8.9MiB live, 30.1MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

1 calls:

27.0ms
z
Results
AccuracySegmentsBranch
99.6%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes72.0ms (0.9%)

Memory
-21.6MiB live, 100.0MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 (sin.f64 y)) z))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Calls

4 calls:

24.0ms
z
22.0ms
x
10.0ms
y
10.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
81.6%3y
74.5%1x
76.6%2(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
85.9%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes26.0ms (0.3%)

Memory
2.1MiB live, 41.8MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
Calls

2 calls:

10.0ms
y
10.0ms
z
Results
AccuracySegmentsBranch
81.6%3y
80.3%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes41.0ms (0.5%)

Memory
18.8MiB live, 97.5MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

4 calls:

10.0ms
z
10.0ms
x
9.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
y
Results
AccuracySegmentsBranch
73.2%3x
75.3%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
69.0%3z
70.5%3y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes32.0ms (0.4%)

Memory
1.0MiB live, 80.4MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (*.f64 (*.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (neg (sin y)) z) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+.f64 (fma.f64 (*.f64 x (*.f64 y y)) (/.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)) x) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

3 calls:

10.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
10.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
70.5%3y
67.8%2x
66.5%2(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes4.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
70.4%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
-14.1MiB live, 25.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

3 calls:

4.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
64.8%2z
68.4%3x
63.2%1y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
-11.1MiB live, 27.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

3 calls:

4.0ms
z
2.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
Results
AccuracySegmentsBranch
63.2%1z
63.2%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
63.2%1x
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes6.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB 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 (+ 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Calls

4 calls:

1.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
18.6%1y
18.6%1x
18.6%1z
18.6%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch33.0ms (0.4%)

Memory
-7.6MiB live, 74.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
8.348879863007693e-17
1.5394249432512713e-15
16.0ms
-4035296.302861405
-60087.698557643605
Samples
21.0ms224×0valid
Compiler

Compiled 208 to 252 computations (-21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 8.0ms (50.9% of total)
ival-sin: 4.0ms (25.4% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-mult: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.348879863007693e-17
1.5394249432512713e-15
1.0ms
-4035296.302861405
-60087.698557643605
Compiler

Compiled 208 to 252 computations (-21.2% saved)

bsearch31.0ms (0.4%)

Memory
-17.2MiB live, 60.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
7.196824658366168e+211
9.399652956824795e+216
9.0ms
-5.19520815792421e+129
-2.998610309513139e+129
Samples
17.0ms208×0valid
Compiler

Compiled 155 to 209 computations (-34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 4.0ms (32.6% of total)
ival-sin: 4.0ms (32.6% of total)
ival-sub: 1.0ms (8.2% of total)
ival-add: 1.0ms (8.2% of total)
ival-mult: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Memory
3.1MiB live, 82.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1953300562644257500.0
1.0482714765882217e+22
14.0ms
-0.44129955643508634
-3.100560229305852e-10
Samples
25.0ms272×0valid
Compiler

Compiled 284 to 320 computations (-12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 9.0ms (48% of total)
ival-sin: 5.0ms (26.7% of total)
ival-mult: 2.0ms (10.7% of total)
ival-sub: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9917590179575767
0.999726229549721
0.0ms
-486.3374420508768
-0.9998197149080499
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch59.0ms (0.8%)

Memory
-1.2MiB live, 123.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.1371490360035366e+42
9.227628244919914e+48
27.0ms
-84138902150468530.0
-219.63492120853434
Samples
44.0ms304×0valid
Compiler

Compiled 297 to 356 computations (-19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-cos: 10.0ms (38.8% of total)
ival-sin: 10.0ms (38.8% of total)
ival-add: 2.0ms (7.8% of total)
ival-mult: 2.0ms (7.8% of total)
ival-sub: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
-6.7MiB live, 70.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
1.1371490360035366e+42
9.227628244919914e+48
24.0ms
-3.2536683474157754e+103
-6.520684084917302e+94
Samples
22.0ms176×0valid
Compiler

Compiled 210 to 284 computations (-35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (40.7% of total)
ival-sin: 6.0ms (40.7% of total)
ival-sub: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
ival-mult: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Memory
1.0MiB live, 81.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.3677521697134026e-18
1.8197978742468864e-15
17.0ms
-7.6293984481905475e-34
-1.1070520696690207e-36
Samples
21.0ms256×0valid
Compiler

Compiled 204 to 286 computations (-40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 6.0ms (41.4% of total)
ival-sin: 5.0ms (34.5% of total)
ival-mult: 2.0ms (13.8% of total)
ival-sub: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify31.0ms (0.4%)

Memory
5.7MiB live, 83.2MiB allocated
Algorithm
egg-herbie
Rules
22×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
14×*-commutative-binary64-*.f64
cancel-sign-sub-inv-binary64-neg.f64-+.f64-*.f64--.f64
neg-sub0-binary64--.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091475
1111475
2126475
3133475
4137475
5138475
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -61000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -61000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 33000000000000001127908834124999961277479340513036730221460693965362233482746551071451105448783742577966105037018235653694843545305545106051341230184116314576547662464136087550313912020841427454550329463362971238400 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 2000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -400 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -6500 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1149999999999999997458692861051917276545024 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -65999999999999999852307280154645199824313749220942390393237468789529044624821769116385997225984 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1280000000000000038884611638656469362016256 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -4384504911992709/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2281771080410813/1267650600228229401496703205376 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -61000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -61000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -61000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -61000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 33000000000000001127908834124999961277479340513036730221460693965362233482746551071451105448783742577966105037018235653694843545305545106051341230184116314576547662464136087550313912020841427454550329463362971238400 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 z #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 33000000000000001127908834124999961277479340513036730221460693965362233482746551071451105448783742577966105037018235653694843545305545106051341230184116314576547662464136087550313912020841427454550329463362971238400 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 2000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -400 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -6500 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1149999999999999997458692861051917276545024 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -65999999999999999852307280154645199824313749220942390393237468789529044624821769116385997225984 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1280000000000000038884611638656469362016256 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -4384504911992709/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2281771080410813/1267650600228229401496703205376 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

soundness990.0ms (13%)

Memory
2.1MiB live, 803.1MiB allocated
Rules
13 132×lower-fma.f64
13 132×lower-fma.f32
10 746×lower-fma.f64
10 746×lower-fma.f32
7 464×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14719
238819
3563019
0822519
06276954
119276636
260056486
082666180
0103612
1287607
2770605
32083601
44366601
56335601
08451579
01992986
15882831
215482813
346662785
082842646
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 428 to 248 computations (42.1% saved)

preprocess64.0ms (0.8%)

Memory
30.9MiB live, 188.7MiB allocated
Compiler

Compiled 526 to 176 computations (66.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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