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

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.3s (24.1%)

Memory
2.3MiB live, 1 393.3MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 532.0ms (46.3% of total)
ival-cos: 369.0ms (32.1% of total)
ival-mult: 197.0ms (17.1% of total)
ival-add: 41.0ms (3.6% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain109.0ms (1.2%)

Memory
-15.8MiB live, 262.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
55.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sin: 11.0ms (32.2% of total)
ival-cos: 10.0ms (29.2% of total)
ival-mult: 10.0ms (29.2% of total)
ival-add: 2.0ms (5.8% of total)
ival-true: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess151.0ms (1.6%)

Memory
11.8MiB live, 51.1MiB allocated
Algorithm
egg-herbie
Rules
162×associate-*r*
160×unsub-neg
146×associate-*l*
132×distribute-lft-neg-in
106×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff128
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
lower-fma.f64
lower-fma.f32
lower-*.f32
*-commutative
lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.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)

localize34.0ms (0.4%)

Memory
-13.9MiB live, 63.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.015625
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.09765625
(*.f64 z (sin.f64 y))
accuracy0.09765625
(*.f64 x (cos.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (38.7% of total)
ival-sin: 5.0ms (32.3% of total)
ival-mult: 3.0ms (19.4% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
29.9MiB live, 29.9MiB 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)) (* 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)) (* 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)) (* 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 (* 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) (/ (* x (cos y)) z))) (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) (/ (* x (cos y)) z))) (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) (/ (* x (cos y)) z))) (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 (* 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 (sin y)) (* -1 (/ (* x (cos y)) z))))) (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 (sin y)) (* -1 (/ (* x (cos y)) z))))) (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 (sin y)) (* -1 (/ (* x (cos y)) z))))) (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 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 (+ x (* 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 (+ x (* y (+ z (* -1/2 (* x y))))) (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 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* 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 x (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (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 (* 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 (* 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 (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 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 (+ (cos y) (/ (* 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 (+ (cos y) (/ (* 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 (+ (cos y) (/ (* 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 (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (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)) (* -1 (/ (* 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 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* 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 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* 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 (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (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
z
@-inf
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
y
@inf
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
x
@0
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify182.0ms (1.9%)

Memory
-28.0MiB live, 195.6MiB allocated
Algorithm
egg-herbie
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
3 812×lower-*.f64
3 812×lower-*.f32
2 968×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1295616
2891610
32076604
43745604
56377604
08794554
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
x
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) x)
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 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.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 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.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)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.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)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.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)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.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)

rewrite193.0ms (2.1%)

Memory
-3.9MiB live, 182.7MiB allocated
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 068×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
12919
218519
3183619
0838618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
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eval51.0ms (0.5%)

Memory
9.3MiB live, 45.7MiB allocated
Compiler

Compiled 8 272 to 560 computations (93.2% saved)

prune17.0ms (0.2%)

Memory
-0.4MiB live, 37.0MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New25713270
Fresh000
Picked101
Done000
Total25813271
Accuracy
99.9%
Counts
271 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
81.8%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
52.3%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
27.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
36.4%
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
53.7%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
36.2%
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
54.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
53.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
55.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
40.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
61.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 560 to 330 computations (41.1% saved)

simplify124.0ms (1.3%)

Memory
14.4MiB live, 172.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
cost-diff0
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
cost-diff0
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff40320
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
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
(fma.f64 z y x)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
Rules
8 306×lower-fma.f32
8 298×lower-fma.f64
4 050×lower-*.f32
4 046×lower-*.f64
1 822×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033279
056258
194258
2188258
3494258
41087258
53363258
66838258
08030258
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(literal -1 binary64)
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
x
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(literal -1 binary64)
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize226.0ms (2.4%)

Memory
-17.8MiB live, 190.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
accuracy0.22626879884221007
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
accuracy2.148431307490618
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
accuracy39.653368636076905
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
accuracy0.24123002930532603
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy0.26709167426678043
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
accuracy1.9453063074906176
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
accuracy30.073300404121856
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy0
(cos.f64 y)
accuracy0.09765625
(*.f64 (cos.f64 y) x)
accuracy24.748357671236676
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy0
(fma.f64 z y x)
accuracy28.734112572457693
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.046875
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy0.09765625
(*.f64 (sin.f64 y) z)
Samples
180.0ms256×0valid
Compiler

Compiled 278 to 34 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-pow: 46.0ms (43.3% of total)
ival-mult: 19.0ms (17.9% of total)
ival-add: 10.0ms (9.4% of total)
ival-cos: 8.0ms (7.5% of total)
ival-sin: 7.0ms (6.6% of total)
ival-pow2: 7.0ms (6.6% of total)
ival-div: 4.0ms (3.8% of total)
ival-sub: 3.0ms (2.8% of total)
ival-neg: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.9%)

Memory
30.1MiB live, 142.2MiB allocated
Counts
19 → 552
Calls
Call 1
Inputs
#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())
#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<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 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* (pow x 2) (pow (cos y) 2))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
11.0ms
x
@inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))
9.0ms
y
@-inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))
8.0ms
z
@inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))
8.0ms
y
@0
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))
7.0ms
z
@0
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))

simplify460.0ms (4.9%)

Memory
-169.2MiB live, 309.7MiB allocated
Algorithm
egg-herbie
Rules
10 486×lower-fma.f64
10 486×lower-fma.f32
7 476×lower-*.f64
7 476×lower-*.f32
3 010×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07507679
125897256
083776909
Stop Event
iter limit
node limit
Counts
552 → 540
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* (pow x 3) (pow (cos y) 3))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow x 2) (pow (cos y) 2))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(/ -1 (* (pow z 2) (pow (sin y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z)))))
(* (pow z 3) (pow (sin y) 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(/ -1 (* (pow z 2) (pow (sin y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x)))))
(* (pow x 3) (pow (cos y) 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (pow (cos y) 2))
Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x) (/.f64 z (cos.f64 y)) #s(literal 0 binary64))) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* (pow x 3) (pow (cos y) 3))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* (pow z 3) (pow (sin y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (sin y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (sin y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (sin y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4))))
(fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(fma.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* y z)
(*.f64 z y)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z)
(* -1 (* z (sin y)))
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(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
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(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
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(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
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(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) z)
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(*.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) z)
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(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 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)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x) (/.f64 z (cos.f64 y)) #s(literal 0 binary64))) (neg.f64 x)) (*.f64 (sin.f64 y) z)) (neg.f64 x)) (cos.f64 y)) (neg.f64 x))
(* (pow x 3) (pow (cos y) 3))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
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(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
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(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2))
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(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (*.f64 x x))
(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)

rewrite336.0ms (3.6%)

Memory
-3.4MiB live, 271.6MiB allocated
Rules
7 454×lower-fma.f32
7 446×lower-fma.f64
4 506×lower-/.f32
4 502×lower-/.f64
4 306×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033194
056147
1238147
21618147
08628147
Stop Event
iter limit
node limit
iter limit
Counts
19 → 998
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
Outputs
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eval348.0ms (3.7%)

Memory
8.0MiB live, 472.7MiB allocated
Compiler

Compiled 75 796 to 3 739 computations (95.1% saved)

prune279.0ms (3%)

Memory
26.4MiB live, 189.6MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New2 022212 043
Fresh628
Picked235
Done000
Total2 030262 056
Accuracy
100.0%
Counts
2 056 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
56.1%
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
46.5%
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
81.8%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
30.8%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
17.9%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
21.0%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
52.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
92.4%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
89.7%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
40.5%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z))
53.9%
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
54.2%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
55.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
35.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
61.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
37.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
39.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
52.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
47.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
49.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
43.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
19.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
Compiler

Compiled 702 to 534 computations (23.9% saved)

simplify166.0ms (1.8%)

Memory
1.2MiB live, 189.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
cost-diff320
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
cost-diff0
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
cost-diff320
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
(+.f64 (/.f64 x z) y)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
cost-diff832
(*.f64 (+.f64 (/.f64 x z) y) z)
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff0
(/.f64 (sin.f64 y) x)
cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff704
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Rules
7 590×lower-fma.f32
7 582×lower-fma.f64
3 116×lower-*.f32
3 100×lower-*.f64
2 538×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052287
078277
1124271
2215265
3470263
41020242
52897236
66520236
08224225
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))
(*.f64 (+.f64 (/.f64 x z) y) z)
(+.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
(cos.f64 y)
y
x
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))
(log.f64 (sin.f64 y))
(sin.f64 y)
#s(literal 1 binary64)
z
Outputs
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* z y) x) (*.f64 z y))
#s(approx (+ (* z y) x) (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y z x)))
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))
#s(approx (+ (* z y) x) (fma.f64 y z x))
(*.f64 (+.f64 (/.f64 x z) y) z)
(fma.f64 y z x)
(+.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) x)))
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))
#s(approx (* (cos y) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) x))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
y
x
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)
(*.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(sin.f64 y)
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))
(log.f64 (sin.f64 y))
(log.f64 (sin.f64 y))
(sin.f64 y)
#s(literal 1 binary64)
z

localize174.0ms (1.8%)

Memory
-30.5MiB live, 201.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
accuracy0.05859375
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)
accuracy0.2386829117467912
(log.f64 (sin.f64 y))
accuracy1.4361586416542198
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
accuracy0.02734375
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x))
accuracy2.7041323924380865
(*.f64 (*.f64 y y) x)
accuracy11.682848412062883
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
accuracy14.050225727218427
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))
accuracy0
(+.f64 (/.f64 x z) y)
accuracy0
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))
accuracy3.533546575488827
(*.f64 (+.f64 (/.f64 x z) y) z)
accuracy13.769524931804197
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
accuracy0
(*.f64 z y)
accuracy13.769524931804197
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy14.434386994545374
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy0.0390625
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy0.0546875
(/.f64 (sin.f64 y) x)
accuracy3.106987121515414
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Samples
77.0ms121×0valid
71.0ms135×0invalid
Compiler

Compiled 211 to 46 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 65.0ms (55% of total)
ival-add: 9.0ms (7.6% of total)
const: 8.0ms (6.8% of total)
ival-pow: 7.0ms (5.9% of total)
ival-sin: 6.0ms (5.1% of total)
ival-div: 5.0ms (4.2% of total)
ival-cos: 5.0ms (4.2% of total)
ival-pow2: 5.0ms (4.2% of total)
ival-log: 3.0ms (2.5% of total)
ival-exp: 2.0ms (1.7% of total)
ival-sub: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series167.0ms (1.8%)

Memory
30.4MiB live, 209.1MiB allocated
Counts
22 → 612
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) (patch (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (log.f64 (sin.f64 y)) (patch (log.f64 (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) #<representation binary64>) () ())
Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
54.0ms
y
@inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z))
36.0ms
z
@-inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z))
20.0ms
y
@-inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z))
13.0ms
x
@0
((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z))
5.0ms
x
@-inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z))

simplify267.0ms (2.8%)

Memory
-21.2MiB live, 261.3MiB allocated
Algorithm
egg-herbie
Rules
12 746×lower-fma.f64
12 746×lower-fma.f32
4 814×lower-*.f64
4 814×lower-*.f32
2 600×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02634398
18344319
224004260
358624236
084423839
Stop Event
iter limit
node limit
Counts
612 → 586
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(/ x z)
(/ (+ x (* y z)) z)
(/ (+ x (* y z)) z)
(/ (+ x (* y z)) z)
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ (* z (sin y)) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
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y
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(* z (sin y))
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x
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x
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x
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x
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x
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x
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x
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(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
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x
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(* x (+ (cos y) (/ (* z (sin y)) x)))
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(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin 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)) x))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
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(* y (+ 1 (/ x (* y z))))
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(+ (* x (cos y)) (* z (sin y)))
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(* x (cos y))
(* x (cos y))
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(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(sin y)
(sin y)
(sin y)
(sin y)
(log (sin y))
(log (sin y))
(log (sin y))
(log (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(cos y)
(cos y)
(cos y)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(log (sin y))
(log (sin y))
(log (sin y))
(log (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin 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)) x))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (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)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
y
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(* 1/24 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 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)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(sin y)
(sin y)
(sin y)
(sin y)
(log (sin y))
(log (sin y))
(log (sin y))
(log (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(cos y)
(cos y)
(cos y)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(log (sin y))
(log (sin y))
(log (sin y))
(log (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* z (sin y))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
y
(+ y (/ x z))
(+ y (/ x z))
(+ y (/ x z))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
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(* x (+ 1 (/ (* y z) x)))
x
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(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(/ x z)
(* x (+ (/ 1 z) (/ y x)))
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(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
(* x (- (* 1/24 (pow y 2)) 1/2))
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(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(/ x z)
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
Outputs
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(log.f64 (sin.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)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
y
(+ y (/ x z))
(+.f64 (/.f64 x z) y)
(+ y (/ x z))
(+.f64 (/.f64 x z) y)
(+ y (/ x z))
(+.f64 (/.f64 x z) y)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.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)
(* x (+ 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 (*.f64 y y) x) x)
(* x (+ 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 (*.f64 y y) x) x)
(* x (+ 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 (*.f64 y y) x) x)
(* x (+ 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 (*.f64 y y) x) x)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(/ x z)
(/.f64 x z)
(* x (+ (/ 1 z) (/ y x)))
(+.f64 (/.f64 x z) y)
(* x (+ (/ 1 z) (/ y x)))
(+.f64 (/.f64 x z) y)
(* x (+ (/ 1 z) (/ y x)))
(+.f64 (/.f64 x z) y)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.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)
(* x (+ 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 (*.f64 y y) x) x)
(* x (+ 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 (*.f64 y y) x) x)
(* x (+ 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 (*.f64 y y) x) x)
(* x (+ 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 (*.f64 y y) x) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 (/.f64 x z) y)
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 (/.f64 x z) y)
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 (/.f64 x z) y)
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.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)
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) x) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)

rewrite218.0ms (2.3%)

Memory
-4.7MiB live, 278.0MiB allocated
Rules
7 380×lower-fma.f32
7 372×lower-fma.f64
4 406×lower-*.f32
4 390×lower-*.f64
3 440×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052256
078248
1283219
21924219
08346215
Stop Event
iter limit
node limit
iter limit
Counts
22 → 370
Calls
Call 1
Inputs
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/.f64 (sin.f64 y) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
(*.f64 (+.f64 (/.f64 x z) y) z)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))
(+.f64 (/.f64 x z) y)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
(cos.f64 y)
(*.f64 (*.f64 y y) x)
(log.f64 (sin.f64 y))
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)
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eval166.0ms (1.8%)

Memory
25.4MiB live, 250.3MiB allocated
Compiler

Compiled 17 168 to 1 756 computations (89.8% saved)

prune59.0ms (0.6%)

Memory
-2.9MiB live, 155.5MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New95417971
Fresh81018
Picked415
Done033
Total96631997
Accuracy
100.0%
Counts
997 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
34.3%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
30.8%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
21.0%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
52.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
78.1%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
92.3%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) x))
87.6%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
87.5%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x))
69.7%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
92.4%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
89.7%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
80.3%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64))) x))
40.5%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z))
52.3%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
33.1%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
39.2%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
54.2%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
53.9%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
55.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
35.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
61.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
37.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
52.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
43.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
33.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z)))
19.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x)))
Compiler

Compiled 817 to 632 computations (22.6% saved)

simplify225.0ms (2.4%)

Memory
4.5MiB live, 196.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y))
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x))
cost-diff704
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)
cost-diff6080
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) z) x)
cost-diff0
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x))
cost-diff0
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
cost-diff0
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
cost-diff0
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
cost-diff0
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
cost-diff704
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)
Rules
6 472×lower-fma.f32
6 466×lower-fma.f64
3 362×lower-*.f32
3 350×lower-*.f64
2 858×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047418
070418
1112390
2187378
3420364
4917294
52829294
67328294
08521285
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
z
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(cos.f64 y)
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
(/.f64 y x)
y
x
z
#s(literal 1 binary64)
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (*.f64 (sin.f64 y) z) x)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x))
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y))
(sin.f64 y)
y
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
z
(cos.f64 y)
Outputs
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
z
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
(/.f64 (sin.f64 y) x)
#s(literal 1 binary64)
(/.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(cos.f64 y)
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
(/.f64 y x)
y
x
z
#s(literal 1 binary64)
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x))
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z))
(/.f64 (*.f64 (sin.f64 y) z) x)
(*.f64 (/.f64 (sin.f64 y) x) z)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(sin.f64 y)
y
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
(/.f64 z x)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
z
(cos.f64 y)

localize134.0ms (1.4%)

Memory
-2.5MiB live, 316.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x))
accuracy0.234375
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
accuracy3.1459090262122174
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y))
accuracy4.8144073753424035
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)
accuracy0.09765625
(*.f64 (sin.f64 y) z)
accuracy2.2858250103376063
(/.f64 (*.f64 (sin.f64 y) z) x)
accuracy4.8144073753424035
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)
accuracy37.968068840182546
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x))
accuracy0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
accuracy2.610918357376044
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
accuracy4.8144073753424035
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)
accuracy26.37096024742446
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64)))
accuracy0
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
accuracy4.8144073753424035
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
accuracy38.95999123921925
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
accuracy0.0859375
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
accuracy0.1171875
(/.f64 x (sin.f64 y))
accuracy0.6176106979731844
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
accuracy4.8144073753424035
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)
Samples
103.0ms256×0valid
Compiler

Compiled 315 to 38 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 17.0ms (24.9% of total)
ival-pow: 15.0ms (21.9% of total)
ival-div: 11.0ms (16.1% of total)
ival-add: 6.0ms (8.8% of total)
ival-sin: 6.0ms (8.8% of total)
ival-cos: 5.0ms (7.3% of total)
ival-pow2: 5.0ms (7.3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series140.0ms (1.5%)

Memory
22.5MiB live, 130.6MiB allocated
Counts
21 → 708
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) (patch #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y x) z #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) (patch (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) (patch #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 y) z) x) (patch (/.f64 (*.f64 (sin.f64 y) z) x) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (patch (*.f64 (pow.f64 x #s(literal -1 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 x (sin.f64 y)) (patch (/.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
43.0ms
x
@0
((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z))
26.0ms
x
@-inf
((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z))
22.0ms
x
@inf
((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z))
3.0ms
y
@-inf
((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z))
3.0ms
y
@inf
((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z))

simplify211.0ms (2.2%)

Memory
-35.9MiB live, 300.3MiB allocated
Algorithm
egg-herbie
Rules
12 316×lower-fma.f64
12 316×lower-fma.f32
4 866×lower-*.f64
4 866×lower-*.f32
2 336×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02096490
16806404
221226293
356046172
082865677
Stop Event
iter limit
node limit
Counts
708 → 698
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
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(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
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(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
1
(+ 1 (/ (* y z) x))
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(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ (* z (sin y)) x)
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(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ z x)
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(/ z x)
(/.f64 z x)
(/ z x)
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(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
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(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(* x (cos y))
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
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(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
(* x (cos y))
(*.f64 (cos.f64 y) x)
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(/ x (sin y))
(/.f64 x (sin.f64 y))

rewrite203.0ms (2.2%)

Memory
31.8MiB live, 251.2MiB allocated
Rules
6 882×lower-fma.f32
6 876×lower-fma.f64
4 476×lower-*.f32
4 464×lower-*.f64
3 764×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047385
070362
1254335
21381265
08523260
Stop Event
iter limit
node limit
iter limit
Counts
21 → 421
Calls
Call 1
Inputs
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) z #s(literal 1 binary64))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (*.f64 (sin.f64 y) z) x)
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x))
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y))
(/.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) z)
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eval252.0ms (2.7%)

Memory
-10.9MiB live, 388.9MiB allocated
Compiler

Compiled 16 850 to 1 653 computations (90.2% saved)

prune184.0ms (2%)

Memory
-0.6MiB live, 241.7MiB allocated
Pruning

34 alts after pruning (29 fresh and 5 done)

PrunedKeptTotal
New1 103161 119
Fresh91322
Picked415
Done044
Total1 116341 150
Accuracy
100.0%
Counts
1 150 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
34.3%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
30.8%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
21.0%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
52.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
92.3%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))))
89.7%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
78.1%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64))))
80.3%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)))) x))
40.5%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z))
52.4%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x))
29.2%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (sin.f64 y) (/.f64 x z))) x))
16.9%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x))
16.5%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x))
16.6%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x))
33.1%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 z (/.f64 x (sin.f64 y)))) x))
33.0%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) z))) x))
32.9%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) x))) x))
28.2%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x))
17.2%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) x))
16.4%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x))
39.2%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
54.2%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
53.9%
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
55.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
35.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
61.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
37.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
43.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
33.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z)))
19.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
37.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x)))
Compiler

Compiled 1 500 to 665 computations (55.7% saved)

regimes120.0ms (1.3%)

Memory
37.6MiB live, 114.1MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 z (/.f64 x (sin.f64 y)))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (sin.f64 y) (/.f64 x z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) x))) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) x))
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) x))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64))))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64))) x))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
Calls

4 calls:

50.0ms
y
29.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
z
19.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes91.0ms (1%)

Memory
-49.5MiB live, 91.7MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 z (/.f64 x (sin.f64 y)))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (sin.f64 y) (/.f64 x z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) x))) x))
Outputs
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Calls

4 calls:

31.0ms
x
22.0ms
z
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
y
Results
AccuracySegmentsBranch
82.0%3x
82.8%5y
84.9%4z
74.5%2(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes80.0ms (0.8%)

Memory
-8.0MiB live, 70.6MiB allocated
Counts
33 → 5
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

3 calls:

27.0ms
x
10.0ms
y
10.0ms
z
Results
AccuracySegmentsBranch
82.8%5y
77.7%3x
77.3%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
78.2%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes39.0ms (0.4%)

Memory
4.0MiB live, 43.3MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

11.0ms
x
9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms
z
8.0ms
y
Results
AccuracySegmentsBranch
55.1%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
55.1%1z
55.1%1x
55.1%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
44.5%2z
45.1%3x
39.2%1y
39.2%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes191.0ms (2%)

Memory
-34.0MiB live, 8.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

187.0ms
y
1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
19.2%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.2%1y
19.2%1x
19.2%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch75.0ms (0.8%)

Memory
15.1MiB live, 52.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
3.5640609947839067e+210
8.016539881809755e+211
16.0ms
2.835358674494914e-118
5.507577148917324e-114
15.0ms
-1.4949328568645516e-77
-2.5480489971327272e-79
Samples
57.0ms352×0valid
Compiler

Compiled 364 to 410 computations (-12.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 33.0ms (69.1% of total)
ival-cos: 8.0ms (16.8% of total)
ival-mult: 5.0ms (10.5% of total)
ival-add: 2.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch97.0ms (1%)

Memory
23.9MiB live, 98.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.204165274072289e+46
2.035829072374667e+49
27.0ms
9.008226899007368e-24
2.010068753454109e-17
23.0ms
-2.5329051108644894e+22
-0.6247674050564954
22.0ms
-1.1801999814002038e+125
-8.49869696152484e+120
Samples
68.0ms576×0valid
Compiler

Compiled 572 to 618 computations (-8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-cos: 16.0ms (38.6% of total)
ival-sin: 14.0ms (33.8% of total)
ival-mult: 8.0ms (19.3% of total)
ival-add: 3.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-33.5MiB live, 11.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
5.378079872519207e+35
7.439904517318026e+40
1.0ms
-2.5329051108644894e+22
-0.6247674050564954
Samples
22.0ms144×0valid
Compiler

Compiled 412 to 394 computations (4.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (41.1% of total)
ival-sin: 4.0ms (32.8% of total)
ival-mult: 2.0ms (16.4% of total)
ival-add: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
1.6618856668771316e+197
9.179122188013102e+203
Samples
13.0ms144×0valid
Compiler

Compiled 102 to 149 computations (-46.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (33% of total)
ival-sin: 3.0ms (33% of total)
ival-mult: 2.0ms (22% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify45.0ms (0.5%)

Memory
2.0MiB live, 41.0MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078358
187358
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -7822218149124427/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 z #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y #s(literal -700000000000000028432152238992263791968350198116514367468506117894741479384593636483425812087963657123686485164079127199744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) (if (<=.f64 y #s(literal 65000000000000000821738837564785785656487968768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))))
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 540000000000000005198269871208529920 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal 719999999999999951013582760788984941914726182841223291792172979218462840924449467985551371638250185204677973415272527091777707591630753103658710207721516462903946942831615449516347989032270513330716672 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7822218149124427/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 z #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 z #s(literal -7822218149124427/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 z #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -700000000000000028432152238992263791968350198116514367468506117894741479384593636483425812087963657123686485164079127199744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) (if (<=.f64 y #s(literal 65000000000000000821738837564785785656487968768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))))
(if (<=.f64 y #s(literal -700000000000000028432152238992263791968350198116514367468506117894741479384593636483425812087963657123686485164079127199744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) (if (<=.f64 y #s(literal 65000000000000000821738837564785785656487968768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))))
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 540000000000000005198269871208529920 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 540000000000000005198269871208529920 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal 719999999999999951013582760788984941914726182841223291792172979218462840924449467985551371638250185204677973415272527091777707591630753103658710207721516462903946942831615449516347989032270513330716672 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness1.1s (11.5%)

Memory
41.3MiB live, 733.6MiB allocated
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
12 746×lower-fma.f64
12 746×lower-fma.f32
11 480×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1295616
2891610
32076604
43745604
56377604
08794554
02634398
18344319
224004260
358624236
084423839
07507679
125897256
083776909
0819
01319
12919
218519
3183619
0838618
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 282 to 168 computations (40.4% saved)

preprocess82.0ms (0.9%)

Memory
-52.5MiB live, 211.9MiB allocated
Compiler

Compiled 338 to 132 computations (60.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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