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

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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 (15.6%)

Memory
22.0MiB live, 1 135.3MiB allocated
Samples
996.0ms8 252×0valid
2.0ms3valid
1.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 683.0ms
ival-cos: 274.0ms (40.1% of total)
ival-sin: 233.0ms (34.1% of total)
ival-add: 69.0ms (10.1% of total)
ival-mult: 57.0ms (8.3% of total)
ival-sub: 39.0ms (5.7% of total)
ival-true: 7.0ms (1% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain185.0ms (2.2%)

Memory
-24.6MiB live, 95.3MiB 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
50.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-cos: 12.0ms (35.9% of total)
ival-sin: 12.0ms (35.9% of total)
ival-mult: 4.0ms (12% of total)
ival-add: 3.0ms (9% of total)
ival-sub: 2.0ms (6% of total)
ival-true: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)

preprocess95.0ms (1.1%)

Memory
19.6MiB live, 57.5MiB allocated
Algorithm
egg-herbie
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

simplify15.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 x (cos.f64 y))
cost-diff0
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
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)

localize55.0ms (0.7%)

Memory
-2.4MiB live, 34.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.0078125
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.0078125
(+.f64 x (cos.f64 y))
accuracy0.09765625
(*.f64 z (sin.f64 y))
Samples
47.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 28.0ms (73.1% of total)
ival-sin: 6.0ms (15.7% of total)
ival-mult: 2.0ms (5.2% of total)
ival-sub: 1.0ms (2.6% of total)
ival-add: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB 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
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
x
@0
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms
z
@inf
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms
y
@0
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))

simplify212.0ms (2.5%)

Memory
-19.5MiB live, 185.7MiB allocated
Algorithm
egg-herbie
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)

rewrite200.0ms (2.4%)

Memory
-5.7MiB live, 158.3MiB allocated
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
#<batchref>
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eval36.0ms (0.4%)

Memory
-3.2MiB live, 73.9MiB allocated
Compiler

Compiled 6 790 to 635 computations (90.6% saved)

prune13.0ms (0.1%)

Memory
2.2MiB live, 41.7MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New26811279
Fresh000
Picked101
Done000
Total26911280
Accuracy
100.0%
Counts
280 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(fma.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 (neg.f64 z) (sin.f64 y)))
65.0%
(/.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))
87.8%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
62.6%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
64.9%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64)))
48.9%
#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)))
48.9%
#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)))
58.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
68.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
33.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 268 to 218 computations (18.7% saved)

simplify69.0ms (0.8%)

Memory
16.3MiB live, 57.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
#s(approx (+ x (cos y)) (cos.f64 y))
cost-diff0
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.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 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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026146
039146
164146
2107146
3197146
4311146
5499146
6865146
71403146
81965146
92188146
102244146
112244146
02244144
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.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
#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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ x (cos y)) (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.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))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
y
#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)
(*.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))
(+.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z #s(approx (+ x (cos y)) (cos.f64 y)))
#s(approx (+ x (cos y)) (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize69.0ms (0.8%)

Memory
-20.4MiB live, 135.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.0078125
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.09765625
(*.f64 z (sin.f64 y))
accuracy29.083210092372028
#s(approx (+ x (cos y)) (cos.f64 y))
accuracy0
(cos.f64 y)
accuracy0.0078125
(+.f64 (cos.f64 y) x)
accuracy20.128893978968613
#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)
accuracy32.7132161031901
#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)
accuracy27.773213593820543
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
accuracy0.0078125
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.0078125
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.09765625
(*.f64 z (sin.f64 y))
accuracy32.46407885091395
#s(approx (cos y) #s(literal 1 binary64))
Samples
48.0ms256×0valid
Compiler

Compiled 117 to 18 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 6.0ms (24.3% of total)
ival-sin: 6.0ms (24.3% of total)
ival-mult: 5.0ms (20.2% of total)
ival-add: 4.0ms (16.2% of total)
ival-sub: 2.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
2.8MiB live, 41.6MiB allocated
Counts
15 → 384
Calls
Call 1
Inputs
#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>) () ())
#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 (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())
Outputs
#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 (+ 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>) () ())) ())
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#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>) () ())) ())
#s(alt x (taylor -inf x) (#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 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#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 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#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 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#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 (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (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 (* -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 (* -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 (* -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 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (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 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify194.0ms (2.3%)

Memory
20.3MiB live, 247.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662810
14762745
213222733
339282657
084262539
Stop Event
iter limit
node limit
Counts
384 → 364
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))
(+ 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)))))
(* -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)))
(* 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)))
(* -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 (* 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)))))
(+ 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)))))))
(+ 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 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 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))))
(- (+ 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)))
(* -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)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ 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)))
(+ 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)))
(* -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)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (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))
(- (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)
(+ 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))
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 (/ 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)))
(* 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
(* -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
(* 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) 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)))
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)
(+ 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 (+ 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 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))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1 z) (* -1/2 y))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(+ (* -1 z) (* -1/2 y))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(+ (* -1 z) (* -1/2 y))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(+ 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))
(+ 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 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z 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 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* -1 z)
(neg.f64 z)
(* z (- (* -1/2 (/ y z)) 1))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(* z (- (* -1/2 (/ y z)) 1))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(* z (- (* -1/2 (/ y z)) 1))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(* -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 (* 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))
(* -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 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (-.f64 #s(literal -1 binary64) x))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(neg.f64 (fma.f64 z y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (-.f64 #s(literal -1 binary64) x))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(neg.f64 (fma.f64 z y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (-.f64 #s(literal -1 binary64) x))))
(* -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))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) 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))
(* -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))
(+ 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 (-.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))))
(+.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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
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(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
(* 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 (/ 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
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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)) (/ (* 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
(* 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)
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
(* 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)))
(-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) #s(literal 1 binary64)))
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) (* 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)
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)

rewrite204.0ms (2.4%)

Memory
-21.0MiB live, 348.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026118
039118
1161118
21432118
08258118
Stop Event
iter limit
node limit
iter limit
Counts
15 → 367
Calls
Call 1
Inputs
(-.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))
#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))
(+.f64 (cos.f64 y) x)
(cos.f64 y)
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ x (cos y)) (cos.f64 y))
Outputs
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eval100.0ms (1.2%)

Memory
44.2MiB live, 311.5MiB allocated
Compiler

Compiled 15 477 to 1 531 computations (90.1% saved)

prune71.0ms (0.8%)

Memory
-23.1MiB live, 192.0MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New79714811
Fresh336
Picked145
Done000
Total80121822
Accuracy
100.0%
Counts
822 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.8%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
62.6%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.8%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))))
34.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
99.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))
48.9%
#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)))
34.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
24.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
48.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))))
58.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
68.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
37.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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))
38.7%
#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))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
35.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
33.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
48.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
3.0%
#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))))
12.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
31.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
19.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Compiler

Compiled 516 to 415 computations (19.6% saved)

simplify163.0ms (1.9%)

Memory
8.2MiB live, 277.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
cost-diff128
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff192
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)))
cost-diff704
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) 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) #s(literal 1 binary64))
cost-diff0
#s(approx (cos y) (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)))
cost-diff0
(+.f64 #s(approx (cos y) (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)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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))
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
#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
(/.f64 (cos.f64 y) z)
cost-diff0
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))
cost-diff384
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047439
082439
1157439
2332436
31104436
43721424
56340424
08272420
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(sin.f64 y)
x
#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))) (+.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))) (+.f64 #s(approx (cos y) (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))
(+.f64 #s(approx (cos y) (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)
#s(approx (cos y) (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)))
(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))
(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)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) y z)
#s(literal -1/2 binary64)
y
z
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))
#s(literal 1/4 binary64)
(*.f64 y y)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 #s(literal 1 binary64) (cos.f64 y) x)))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 #s(literal 1 binary64) (cos.f64 y) x))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(sin.f64 y)
x
#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))) (+.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))) (+.f64 #s(approx (cos y) (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))
(+.f64 #s(approx (cos y) (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)
#s(approx (cos y) (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)))
(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))
(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)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) y z)
#s(literal -1/2 binary64)
y
z
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))
#s(literal 1/4 binary64)
(*.f64 y y)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))

localize153.0ms (1.8%)

Memory
-9.2MiB live, 363.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy4.941383544132265
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))
accuracy5.0727299580227605
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)))
accuracy27.75974267196281
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))
accuracy32.7132161031901
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
accuracy0.05859375
(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))
accuracy0.0703125
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
accuracy20.128893978968613
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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))
accuracy35.48783079341729
#s(approx (cos y) (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)))
accuracy0.06478500976844201
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.08984375
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy20.128893978968613
#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))
accuracy35.50158111956384
#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)))
accuracy27.773213593820543
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy29.042417922783592
#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy0
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))
accuracy0.015625
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
accuracy0.1015625
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
accuracy0.10546875
(/.f64 (cos.f64 y) z)
Samples
118.0ms256×0valid
Compiler

Compiled 312 to 47 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 24.0ms (33.6% of total)
ival-add: 13.0ms (18.2% of total)
ival-cos: 10.0ms (14% of total)
const: 8.0ms (11.2% of total)
ival-sin: 7.0ms (9.8% of total)
ival-sub: 5.0ms (7% of total)
ival-div: 3.0ms (4.2% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-12.2MiB live, 144.7MiB allocated
Counts
22 → 516
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<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))) (+.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))) (+.f64 #s(approx (cos y) (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)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (cos y) (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) (patch (+.f64 #s(approx (cos y) (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) #<representation binary64>) () ())
#s(alt #s(approx (cos y) (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))) (patch #s(approx (cos y) (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))) #<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) #s(literal 1 binary64)) (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) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) (patch (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (patch (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) #<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 #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>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z 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 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z 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 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z 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 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z 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 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<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))) (+.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 (+ x (+ (cos y) (* -1 (* z (sin 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>) () ())) ())
#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 (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 (+ x (+ (cos y) (* -1 (* z (sin 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>) () ())) ())
#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 (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)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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)) #<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 (cos y) (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)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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)) #<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 (cos y) (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)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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)) #<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 (cos y) (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)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) (patch (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) (patch (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) (patch (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ z (* -1/2 y))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (patch (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ z (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (patch (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (patch (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (patch (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) #<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 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) #<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 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) #<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 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@0
((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z)))
5.0ms
y
@inf
((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z)))
5.0ms
x
@-inf
((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z)))
5.0ms
y
@0
((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z)))
3.0ms
y
@-inf
((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ 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) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z)))

simplify180.0ms (2.1%)

Memory
21.1MiB live, 293.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04956721
115476518
252966436
082556073
Stop Event
iter limit
node limit
Counts
516 → 496
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) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) 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)))))
(+ 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)))))
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1))))
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1)))))))
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1)))))))
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- (+ 2 (* 2 (/ (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y)))) y))) (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1)))))))
(+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1))))
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (pow x 2) 1))))
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (+ (* -1 (* y (* z (- x 1)))) (pow x 2)) 1))))
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (+ (* -1 (* y (* z (- x 1)))) (pow x 2)) 1))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* 1/4 (pow y 2))
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))
(* -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 (sin y))
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x
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) 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 (/ 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 (/ (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) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y)))))))
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 3) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y)))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))))
(* (pow x 2) (+ z (* -1/2 y)))
(* (pow x 2) (+ z (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x))))
(* (pow x 2) (+ z (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (pow x 2))) (+ (* -1 (/ (+ z (* -1/2 y)) (pow x 2))) (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x))))))
(* (pow x 2) (+ z (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (pow x 2))) (+ (* -1 (/ (+ z (* -1/2 y)) (pow x 2))) (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (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
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (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
(* 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 (/ (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 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x)))))
(* (pow x 2) (+ z (* -1/2 y)))
(* (pow x 2) (+ z (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x))))
(* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y))))
(* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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)))
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))
(+ 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))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(+ 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))
(+ 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))
(+ 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))
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1))))
(*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (-.f64 x #s(literal 1 binary64))))
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1)))))))
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) y) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y))) z))
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y))) y) #s(literal 2 binary64) #s(literal 2 binary64)) z (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y)))) z (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- (+ 2 (* 2 (/ (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y)))) y))) (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y))) y) #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 z y)) #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y))) y) #s(literal 2 binary64) #s(literal 2 binary64))) z (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y)))) z (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64)))
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (pow x 2) 1))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) z (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))))
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (+ (* -1 (* y (* z (- x 1)))) (pow x 2)) 1))))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) z) y (fma.f64 x x #s(literal -1 binary64))) z)))
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (+ (* -1 (* y (* z (- x 1)))) (pow x 2)) 1))))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) z) y (fma.f64 x x #s(literal -1 binary64))) z)))
(+ 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))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z))
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z))
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (cos y) z) (sin y))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(- (/ (cos y) z) (sin y))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(- (/ (cos y) z) (sin y))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)))

rewrite203.0ms (2.4%)

Memory
4.0MiB live, 284.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047355
082355
1357355
23053355
08909351
Stop Event
iter limit
node limit
iter limit
Counts
22 → 600
Calls
Call 1
Inputs
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
#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))) (+.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))) (+.f64 #s(approx (cos y) (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))
(+.f64 #s(approx (cos y) (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)
#s(approx (cos y) (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)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
(fma.f64 #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 (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 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))
Outputs
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eval228.0ms (2.7%)

Memory
12.8MiB live, 321.3MiB allocated
Compiler

Compiled 38 272 to 3 753 computations (90.2% saved)

prune475.0ms (5.6%)

Memory
-227.4MiB live, 168.9MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New1 077191 096
Fresh4812
Picked415
Done134
Total1 086311 117
Accuracy
100.0%
Counts
1 117 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.8%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))))
48.9%
#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)))
34.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
73.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) #s(literal -1 binary64))) z x))
58.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64))) z x))
48.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))
70.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
7.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
16.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
11.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
48.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))))
58.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
68.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
37.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
37.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
37.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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 #s(literal 1 binary64))) x))
38.7%
#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))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
35.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
90.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x))
33.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
30.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
3.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
12.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
86.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
62.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)))
48.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
31.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
19.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Compiler

Compiled 898 to 710 computations (20.9% saved)

simplify449.0ms (5.3%)

Memory
7.3MiB live, 247.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
#s(approx (+ (cos y) x) (cos.f64 y))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
cost-diff0
(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) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z))
cost-diff0
#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)))
cost-diff128
(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))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
cost-diff0
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
cost-diff0
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x))
cost-diff1024
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054350
078342
1152340
2360336
31210336
44260316
57319316
08178308
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(/.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(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z))
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 z y)
z
y
#s(literal -1/2 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (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)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (+ (cos y) x) (cos.f64 y))
(cos.f64 y)
y
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (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(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#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 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))))
(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))
(-.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z))
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 z y)
z
y
#s(literal -1/2 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 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))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
(-.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)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (+ (cos y) x) (cos.f64 y))
(cos.f64 y)
y

localize187.0ms (2.2%)

Memory
-3.9MiB live, 192.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy20.128893978968613
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
accuracy29.083210092372028
#s(approx (+ (cos y) x) (cos.f64 y))
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.140625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))
accuracy0.5443727726931906
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
accuracy32.7132161031901
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))))
accuracy0.01171875
(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))
accuracy0.0390625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z))
accuracy0.16796875
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64))
accuracy32.71722524339336
#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)))
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy32.7132161031901
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
accuracy47.22965394690408
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))
accuracy0
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x))
accuracy0.05859375
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
accuracy0.140625
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
accuracy6.044233460029645
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)
Samples
142.0ms256×0valid
Compiler

Compiled 260 to 50 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 41.0ms (38.4% of total)
ival-add: 36.0ms (33.7% of total)
ival-cos: 7.0ms (6.6% of total)
ival-div: 6.0ms (5.6% of total)
ival-sin: 6.0ms (5.6% of total)
ival-sub: 5.0ms (4.7% of total)
const: 4.0ms (3.7% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series70.0ms (0.8%)

Memory
13.3MiB live, 108.1MiB allocated
Counts
21 → 624
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #<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 #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) (patch #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.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))) #s(approx (+ (cos y) x) (cos.f64 y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<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 (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #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))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #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 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #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 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #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 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (cos y) x)) (taylor 0 z) (#s(alt (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #<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 (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) #<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 (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) #<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 (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) #<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 (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) (patch #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) (patch #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) (patch #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- (+ 2 (* 2 (/ (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y)))) y))) (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) (patch #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<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 (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #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))) (patch #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))) #<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 (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))) (patch #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))) #<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 (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))) (patch #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))) #<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 (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))) (patch #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))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@-inf
((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y))
6.0ms
y
@-inf
((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y))
4.0ms
y
@inf
((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y))
4.0ms
x
@0
((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y))
4.0ms
x
@-inf
((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y))

simplify208.0ms (2.5%)

Memory
-8.5MiB live, 254.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07308772
123418112
279188099
085277670
Stop Event
iter limit
node limit
Counts
624 → 602
Calls
Call 1
Inputs
(* x (+ 1 (/ (cos y) x)))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ 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 (/ (cos y) x))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(/ (cos y) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1))))
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1)))))))
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(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* y (- (* 1/6 z) (* 1/2 (/ 1 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)))
(/ -2 (pow y 2))
(/ (- (* 4 (/ z y)) 2) (pow y 2))
(/ (- (* -1 (/ (+ (* 4 (+ 1 x)) (* 8 (pow z 2))) (pow y 2))) (+ 2 (* -4 (/ z y)))) (pow y 2))
(/ (- (* -1 (/ (+ (* -8 (* z (+ 1 x))) (* -2 (* z (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))))) (pow y 3))) (+ 2 (+ (* -4 (/ z y)) (+ (* 4 (/ (+ 1 x) (pow y 2))) (* 8 (/ (pow z 2) (pow y 2))))))) (pow y 2))
(* -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)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
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(* 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 (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 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
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(* -1 (* y z))
(* -1 (* y z))
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(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
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(* (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)))
(/ -2 (pow y 2))
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(/ (- (* -1 (/ (- (+ (* 4 (/ (+ 1 x) y)) (* 8 (/ (pow z 2) y))) (* 4 z)) y)) 2) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* z (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 8 (/ (* z (+ 1 x)) y))) (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 4 z)) y)) 2) (pow y 2))
(* -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)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) 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)))
(* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y))))
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(+ x (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y)))))
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(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
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(- (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 (* y (- (* -1/2 y) z))))
(+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 2))) (/ 1 (+ 1 (* y (- (* -1/2 y) z)))))
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(+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 4))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 3)))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 2)))) (/ 1 (+ 1 (* y (- (* -1/2 y) z)))))
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(+ 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))
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)))
1
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* 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) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y)))))))
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 3) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y)))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
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(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
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x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x))) x)
(/ (- (+ 1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) x)
x
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x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
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x
(* x (+ 1 (/ (cos y) x)))
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(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
1
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
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(/ (+ (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 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x)))))
x
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(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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 (/ (+ 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)))
(/ 1 x)
(* -1 (/ (- (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) x) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) x) (pow (+ 1 (* y (- (* -1/2 y) z))) 2)) x)) (+ 1 (* y (- (* -1/2 y) z)))) x)) 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) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
Outputs
(* x (+ 1 (/ (cos y) x)))
(fma.f64 (/.f64 (cos.f64 y) x) x x)
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x))
(+ 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 (/ (cos y) x))
(+.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
(+ 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))
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1))))
(*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (-.f64 x #s(literal 1 binary64))))
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rewrite200.0ms (2.4%)

Memory
12.9MiB live, 290.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054310
078302
1346300
23125246
09428244
Stop Event
iter limit
node limit
iter limit
Counts
21 → 583
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x))
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(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
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(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z))
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#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
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(cos.f64 y)
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(*.f64 #s(literal -1/2 binary64) y)
Outputs
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eval202.0ms (2.4%)

Memory
16.1MiB live, 365.5MiB allocated
Compiler

Compiled 32 784 to 3 336 computations (89.8% saved)

prune76.0ms (0.9%)

Memory
-8.7MiB live, 235.3MiB allocated
Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New1 218181 236
Fresh61622
Picked325
Done044
Total1 227401 267
Accuracy
100.0%
Counts
1 267 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.8%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))))
48.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
48.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
34.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
73.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) #s(literal -1 binary64))) z x))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x))
70.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
50.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
40.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
7.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
16.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
11.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
2.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y))))
2.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
12.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
58.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
68.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
37.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
37.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (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 #s(literal 1 binary64))) x))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
56.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
90.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) #s(literal 1 binary64)) x))
53.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
33.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
24.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
39.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x))
30.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
4.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
3.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
12.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
43.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
86.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
62.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)))
48.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
43.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
31.2%
#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 (+ (cos y) x) #s(approx (cos y) (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)))))
18.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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)))))
19.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Compiler

Compiled 1 519 to 796 computations (47.6% saved)

regimes79.0ms (0.9%)

Memory
-15.2MiB live, 193.5MiB allocated
Counts
63 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))))
(fma.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 (neg.f64 z) (sin.f64 y)))
(/.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))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) #s(literal -1 binary64))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64))) z x))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

22.0ms
y
19.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
z
18.0ms
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)

regimes61.0ms (0.7%)

Memory
29.7MiB live, 109.6MiB allocated
Counts
51 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) 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)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

16.0ms
y
15.0ms
z
14.0ms
x
14.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.5%3x
87.8%1y
99.6%3z
99.6%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes32.0ms (0.4%)

Memory
-14.9MiB live, 62.8MiB allocated
Counts
50 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
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

2 calls:

15.0ms
z
14.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.6%3z
99.5%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes46.0ms (0.5%)

Memory
-3.1MiB live, 75.8MiB allocated
Counts
48 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))
Calls

3 calls:

15.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
z
13.0ms
x
Results
AccuracySegmentsBranch
99.0%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
81.7%5x
94.2%3z
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes43.0ms (0.5%)

Memory
-7.8MiB live, 69.8MiB allocated
Counts
47 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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)))
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

3 calls:

14.0ms
y
14.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms
z
Results
AccuracySegmentsBranch
78.4%3y
82.3%3z
73.0%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes45.0ms (0.5%)

Memory
20.1MiB live, 56.7MiB allocated
Counts
46 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
Calls

3 calls:

16.0ms
x
13.0ms
z
13.0ms
y
Results
AccuracySegmentsBranch
78.4%3y
68.5%1x
76.1%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes60.0ms (0.7%)

Memory
-4.0MiB live, 72.6MiB allocated
Counts
45 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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 x (fma.f64 z y #s(literal -1 binary64))))
Calls

4 calls:

17.0ms
y
16.0ms
x
12.0ms
z
12.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
69.8%4x
70.7%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
64.1%3z
68.4%4y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes43.0ms (0.5%)

Memory
17.1MiB live, 53.9MiB allocated
Counts
44 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (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))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.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 (*.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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))) (+.f64 #s(approx (cos y) (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))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 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))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) 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 (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))) (+.f64 #s(literal 1 binary64) x))
Calls

3 calls:

16.0ms
x
12.0ms
y
12.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
66.5%3y
63.5%3x
58.6%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes10.0ms (0.1%)

Memory
-26.6MiB live, 11.0MiB allocated
Counts
20 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z 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 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
66.5%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
16 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
#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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z 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 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) 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 (- (+ 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))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #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))
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:

5.0ms
y
Results
AccuracySegmentsBranch
66.4%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
5 → 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))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #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))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

4 calls:

2.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
56.6%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
56.6%1x
56.6%1z
56.6%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 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
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
19.5%1z
19.5%1y
19.5%1x
19.5%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch7.0ms (0.1%)

Memory
-45.8MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9978924706734901
0.9996436948835368
0.0ms
-1413.361909237017
-3.2096480679283843
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch48.0ms (0.6%)

Memory
22.0MiB live, 59.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.228418659664289e-29
1.803594432878996e-25
24.0ms
-4.8379357707448345e+38
-53919922994171.086
Samples
29.0ms304×0valid
Compiler

Compiled 278 to 337 computations (-21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 8.0ms (38.1% of total)
ival-sin: 7.0ms (33.3% of total)
ival-add: 2.0ms (9.5% of total)
ival-mult: 2.0ms (9.5% of total)
ival-sub: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000037192
163776107267.0893
0.0ms
-2757051560.6942677
-789669.3916820851
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch43.0ms (0.5%)

Memory
14.1MiB live, 50.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
6.80915701537396e+90
9.529698317608487e+92
26.0ms
-3.3628725331738957e+140
-1.6174287318030393e+135
Samples
30.0ms256×0valid
Compiler

Compiled 188 to 254 computations (-35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.4% of total)
ival-cos: 6.0ms (25.6% of total)
ival-sin: 6.0ms (25.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.6%)

Memory
-27.1MiB live, 95.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.076091930251461e-5
65915.798209098
29.0ms
-3.1207669247261454e+24
-16872888355427774000.0
Samples
32.0ms304×0valid
Compiler

Compiled 392 to 413 computations (-5.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 13.0ms (53% of total)
ival-sin: 6.0ms (24.5% of total)
ival-add: 2.0ms (8.2% of total)
ival-mult: 2.0ms (8.2% of total)
ival-sub: 1.0ms (4.1% 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
0.9978924706734901
0.9996436948835368
0.0ms
-1413.361909237017
-3.2096480679283843
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch51.0ms (0.6%)

Memory
7.5MiB live, 85.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.0822585176972679e+27
4.424363116685349e+30
27.0ms
-7.707199412393888e+42
-3.1207669247261454e+24
Samples
35.0ms288×0valid
Compiler

Compiled 372 to 392 computations (-5.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 10.0ms (37.5% of total)
ival-sin: 9.0ms (33.8% of total)
ival-mult: 5.0ms (18.8% of total)
ival-sub: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
11.8MiB live, 54.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
27609605617281148.0
3.845212810907855e+22
11.0ms
-7.707199412393888e+42
-3.1207669247261454e+24
Samples
25.0ms208×0valid
Compiler

Compiled 373 to 413 computations (-10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 9.0ms (47.1% of total)
ival-sin: 7.0ms (36.7% of total)
ival-sub: 1.0ms (5.2% of total)
ival-add: 1.0ms (5.2% of total)
ival-mult: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Memory
10.4MiB live, 49.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
3.845212810907855e+22
2.0822585176972679e+27
16.0ms
-2.7346145512159194e+152
-4.102095977488447e+151
Samples
27.0ms224×0valid
Compiler

Compiled 166 to 224 computations (-34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 8.0ms (39.2% of total)
ival-sin: 7.0ms (34.3% of total)
ival-mult: 3.0ms (14.7% of total)
ival-sub: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify57.0ms (0.7%)

Memory
-28.4MiB live, 48.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112601
1137601
2155601
3161601
4163601
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -55000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3920052866929211/21778071482940061661655974875633165533184 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 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -2000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))))
(if (<=.f64 z #s(literal -7499999999999999471636755242964368695626842646793525417430612848173548702543103004385723262155597206236015301841068836068912087932338176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 879999999999999968696767795275166490352867120744961882414770135231444371668368972880487120896 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 -17000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3512807709348987/18014398509481984 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) 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 -1000 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 4494592428115755/4503599627370496 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 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -6499999999999999622512640 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 5499999999999999660764692480 binary64)) #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))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -3199999999999999731564544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 43000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) 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 -109999999999999988806431525273025073096495602943278387819511120525475258823777154369401708130310285138509092707234791088930853478105700265123150729052160 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 40000000000000000000000 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))))
#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
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -55000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3920052866929211/21778071482940061661655974875633165533184 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 -55000000000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 3920052866929211/21778071482940061661655974875633165533184 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -2000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))))
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -2000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x))))
(if (<=.f64 z #s(literal -7499999999999999471636755242964368695626842646793525417430612848173548702543103004385723262155597206236015301841068836068912087932338176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 879999999999999968696767795275166490352867120744961882414770135231444371668368972880487120896 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)))))
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(if (<=.f64 y #s(literal -3199999999999999731564544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 43000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) 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 -109999999999999988806431525273025073096495602943278387819511120525475258823777154369401708130310285138509092707234791088930853478105700265123150729052160 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 40000000000000000000000 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))))
#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)))

soundness1.6s (19.4%)

Memory
21.4MiB live, 820.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04956721
115476518
252966436
082556073
0103612
1287607
2770605
32083601
44366601
56335601
08451579
07308772
123418112
279188099
085277670
01662810
14762745
213222733
339282657
084262539
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 474 to 273 computations (42.4% saved)

preprocess294.0ms (3.5%)

Memory
0.0MiB live, 165.0MiB allocated
Compiler

Compiled 674 to 208 computations (69.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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