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

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (15.3%)

Memory
40.5MiB live, 1 948.2MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 840.0ms
ival-cos: 359.0ms (42.7% of total)
ival-sin: 280.0ms (33.3% of total)
ival-mult: 127.0ms (15.1% of total)
ival-add: 65.0ms (7.7% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain166.0ms (1.8%)

Memory
-4.1MiB live, 235.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
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
93.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 14.0ms (37.3% of total)
ival-cos: 11.0ms (29.3% of total)
ival-mult: 9.0ms (24% of total)
ival-add: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess49.0ms (0.5%)

Memory
-12.2MiB live, 63.1MiB allocated
Algorithm
egg-herbie
Rules
180×associate-*r*
160×unsub-neg
142×associate-*l*
136×distribute-lft-neg-in
110×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
569381
687181
795781
8103881
9110481
10111881
11112381
12112581
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify4.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.f64 y)

localize62.0ms (0.7%)

Memory
12.4MiB live, 88.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.10546875
(*.f64 z (cos.f64 y))
accuracy0.12109375
(*.f64 x (sin.f64 y))
Samples
56.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 30.0ms (62.7% of total)
ival-sin: 13.0ms (27.2% of total)
ival-mult: 3.0ms (6.3% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-10.4MiB live, 27.7MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (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 (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (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 (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (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 (cos y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@inf
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms
z
@0
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms
y
@inf
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms
x
@-inf
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms
y
@0
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify175.0ms (1.9%)

Memory
-19.5MiB live, 258.9MiB allocated
Algorithm
egg-herbie
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
4 718×lower-*.f64
4 718×lower-*.f32
2 178×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2981668
32637662
44654662
56949662
08182606
Stop Event
iter limit
node limit
Counts
108 → 105
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
1
#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))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)

rewrite323.0ms (3.5%)

Memory
-2.1MiB live, 292.0MiB allocated
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 070×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3183621
0839120
Stop Event
iter limit
node limit
iter limit
Counts
5 → 177
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
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(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(sin.f64 y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(cos.f64 y)

eval33.0ms (0.4%)

Memory
3.3MiB live, 79.4MiB allocated
Compiler

Compiled 8 420 to 573 computations (93.2% saved)

prune46.0ms (0.5%)

Memory
-6.7MiB live, 111.8MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New26616282
Fresh000
Picked101
Done000
Total26716283
Accuracy
99.9%
Counts
283 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.2%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
59.6%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
59.6%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
49.3%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
18.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
34.3%
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
72.3%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
28.8%
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
49.5%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
47.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
47.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
48.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
36.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
65.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 738 to 414 computations (43.9% saved)

simplify131.0ms (1.4%)

Memory
13.5MiB live, 200.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 y) z)
cost-diff0
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
cost-diff0
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
cost-diff0
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff40320
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
cost-diff0
(fma.f64 y x z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Rules
8 314×lower-fma.f32
8 306×lower-fma.f64
4 050×lower-*.f32
4 046×lower-*.f64
1 828×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033279
056258
194258
2188258
3494258
41087258
53363258
66841258
08036258
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
z
(cos.f64 y)
y
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(literal -1 binary64)
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
(fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
(fma.f64 y x z)
(fma.f64 x y z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
z
(cos.f64 y)
y
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(literal -1 binary64)
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
(fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize514.0ms (5.6%)

Memory
-106.5MiB live, 312.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.1715812988422101
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
accuracy0.19435502930532603
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy2.2460834291510294
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
accuracy40.83724648841192
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
accuracy0.19435502930532603
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy0.5295415503284467
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
accuracy4.246066915792676
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
accuracy31.350680082941853
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy0
(sin.f64 y)
accuracy0.12109375
(*.f64 (sin.f64 y) x)
accuracy40.658745826375316
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy0
(fma.f64 y x z)
accuracy32.80943764556767
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.0546875
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy0.10546875
(*.f64 (cos.f64 y) z)
Samples
489.0ms256×0valid
Compiler

Compiled 278 to 34 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 384.0ms
ival-mult: 329.0ms (85.6% of total)
ival-pow: 15.0ms (3.9% of total)
ival-add: 9.0ms (2.3% of total)
ival-cos: 8.0ms (2.1% of total)
ival-div: 7.0ms (1.8% of total)
ival-sin: 7.0ms (1.8% of total)
ival-pow2: 5.0ms (1.3% of total)
ival-sub: 2.0ms (0.5% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series135.0ms (1.5%)

Memory
1.7MiB live, 198.4MiB allocated
Counts
19 → 552
Calls
Call 1
Inputs
#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3))
16.0ms
y
@inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3))
9.0ms
z
@0
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3))
8.0ms
y
@0
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3))
7.0ms
y
@-inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3))

simplify201.0ms (2.2%)

Memory
-31.5MiB live, 333.6MiB allocated
Algorithm
egg-herbie
Rules
10 338×lower-fma.f64
10 338×lower-fma.f32
7 536×lower-*.f64
7 536×lower-*.f32
3 024×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07507700
125907309
084066956
Stop Event
iter limit
node limit
Counts
552 → 541
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* x (sin y)))
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(* x (sin y))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(+ (* x (sin y)) (* z (- (* z (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* x (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(* (pow x 3) (pow (sin y) 3))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow x 2) (pow (sin y) 2))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ -1 (* z (cos y)))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
(* -1 (* z (cos y)))
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (cos y) (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* (pow z 3) (cos y))))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(/ -1 (* (pow z 2) (pow (cos y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ -1 (* z (cos y)))
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (* z (cos y)))
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z)))))
(* (pow z 3) (pow (cos y) 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(/ -1 (* (pow z 2) (pow (cos y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
z
(+ z (* x y))
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(/ -1 z)
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(* -1 z)
(+ (* -1 z) (* x y))
(+ (* -1 z) (* y (+ x (* 1/2 (* y z)))))
(+ (* -1 z) (* y (+ x (* y (+ (* -1/6 (* x y)) (* 1/2 z))))))
z
(+ z (* x y))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x)))))
(* (pow x 3) (pow (sin y) 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (pow (sin y) 3))
Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x y)
(*.f64 y x)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* -1 (* z (cos y))) (* x (sin y)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (- (* z (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* x (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (/.f64 z (sin.f64 y)) #s(literal 0 binary64))) z (cos.f64 y)) z (*.f64 (sin.f64 y) x))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4))))
(fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(fma.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.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 (sin.f64 y) #s(literal 2 binary64))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.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 (sin.f64 y) #s(literal 2 binary64))))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) z z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) z z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) z z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(/ -1 (* z (cos y)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 z))
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (cos.f64 y))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))) z)
(* -1 (* z (cos y)))
(*.f64 (neg.f64 z) (cos.f64 y))
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (neg.f64 (cos.f64 y))) z)
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (neg.f64 (cos.f64 y))) z)
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (neg.f64 (cos.f64 y))) z)
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(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z)
(* z (- (+ (cos y) (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* (pow z 3) (cos y))))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))
(*.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y)) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z)
(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
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(* (pow z 3) (pow (cos y) 3))
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(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
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(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))
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(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (/.f64 z (sin.f64 y)) #s(literal 0 binary64))) (neg.f64 x)) (*.f64 (cos.f64 y) z)) x)))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin 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 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin 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 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin 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 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (*.f64 x x))
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite367.0ms (4%)

Memory
12.2MiB live, 438.0MiB allocated
Rules
7 464×lower-fma.f32
7 456×lower-fma.f64
4 506×lower-/.f32
4 502×lower-/.f64
4 304×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033194
056147
1238147
21617147
08629147
Stop Event
iter limit
node limit
iter limit
Counts
19 → 991
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
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(+.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))
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(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (sin.f64 y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) x)
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) x)
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (sin.f64 y) (*.f64 x (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))

eval347.0ms (3.8%)

Memory
14.7MiB live, 557.5MiB allocated
Compiler

Compiled 76 072 to 3 684 computations (95.2% saved)

prune226.0ms (2.5%)

Memory
18.9MiB live, 430.9MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New2 017202 037
Fresh7411
Picked235
Done000
Total2 026272 053
Accuracy
100.0%
Counts
2 053 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
48.5%
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
71.0%
(fma.f64 (sin.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
72.3%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
59.6%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
16.9%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
31.9%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
15.2%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
31.8%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
49.5%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
46.6%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
83.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
93.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
65.5%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z))
47.6%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
47.8%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
48.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
19.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
48.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
36.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
47.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
40.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
13.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
13.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
13.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 788 to 582 computations (26.1% saved)

simplify175.0ms (1.9%)

Memory
-8.9MiB live, 145.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff320
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
cost-diff12928
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
cost-diff0
(/.f64 (cos.f64 y) x)
cost-diff0
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
cost-diff704
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
cost-diff0
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* y x) z) (*.f64 y x))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
Rules
5 180×lower-fma.f32
5 168×lower-fma.f64
3 300×lower-*.f32
3 288×lower-*.f64
3 056×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054348
086352
1128332
2224328
3492324
41155307
53086307
67098307
08263305
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* y x) z) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
(*.f64 y x)
y
x
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
z
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(sin.f64 y)
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
z
(cos.f64 y)
y
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(literal -1 binary64)
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (neg.f64 z) z)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 y x))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
z
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(sin.f64 y)
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
z
(cos.f64 y)
y
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(literal -1 binary64)
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 (neg.f64 z) z)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)

localize224.0ms (2.4%)

Memory
21.6MiB live, 213.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.24675751953688405
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy0.5295415503284467
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
accuracy20.49491177734255
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
accuracy31.350680082941853
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
accuracy0
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
accuracy0.109375
(/.f64 (cos.f64 y) x)
accuracy0.1328125
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
accuracy10.650909952154212
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
accuracy0.0546875
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
accuracy0.0625
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
accuracy0.12625753162065376
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
accuracy33.3987048521856
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
accuracy0
(*.f64 y x)
accuracy32.80943764556767
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy33.510496032407566
#s(approx (+ (* y x) z) (*.f64 y x))
accuracy0.07421875
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.12109375
(*.f64 (sin.f64 y) x)
accuracy0.1640625
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy0.23046875
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
Samples
196.0ms256×0valid
Compiler

Compiled 295 to 46 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-sin: 85.0ms (51.3% of total)
ival-mult: 22.0ms (13.3% of total)
ival-pow2: 18.0ms (10.9% of total)
ival-pow: 12.0ms (7.2% of total)
ival-add: 10.0ms (6% of total)
ival-cos: 7.0ms (4.2% of total)
ival-div: 5.0ms (3% of total)
const: 4.0ms (2.4% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series136.0ms (1.5%)

Memory
-32.2MiB live, 99.5MiB allocated
Counts
23 → 732
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) #<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) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
33.0ms
x
@-inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2))
20.0ms
z
@inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2))
6.0ms
y
@-inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2))
5.0ms
y
@inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2))
4.0ms
x
@inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2))

simplify237.0ms (2.6%)

Memory
11.2MiB live, 161.2MiB allocated
Algorithm
egg-herbie
Rules
9 196×lower-fma.f64
9 196×lower-fma.f32
7 296×lower-*.f64
7 296×lower-*.f32
3 064×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07699601
125179335
084788798
Stop Event
iter limit
node limit
Counts
732 → 719
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x y))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(/ 1 (* x (sin y)))
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
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(* x (sin y))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(* (pow x 2) (pow (sin y) 2))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(* z (cos y))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
z
(* z (+ 1 (/ (* x y) z)))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
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(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
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(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2))
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(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
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(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
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(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2))
z
(+ z (* x y))
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(/ 1 z)
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z
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1
(+ 1 (* -1/2 (pow y 2)))
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z
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z
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z
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z
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x
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z
(+ z (* x y))
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
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(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
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z
(+ z (* x y))
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(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
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(+ (* -1 z) (* y (+ x (* y (+ (* -1/6 (* x y)) (* 1/2 z))))))
(* x y)
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(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
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(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1/6 (* x y))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2))
Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x)))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 (cos.f64 y) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
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(* x (sin y))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x y)
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(+ z (* x y))
(fma.f64 y x z)
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(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
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(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x)
(* -1/6 (* x y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y x))
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x)))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* (pow z 2) (pow (cos y) 2)))
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(* -1 (* (pow z 2) (pow (cos y) 2)))
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(* -1 (* (pow z 2) (pow (cos y) 2)))
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(* -1 (* (pow z 2) (pow (cos y) 2)))
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(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
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(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (cos.f64 y) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (/.f64 (/.f64 (cos.f64 y) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* -1 (* z (cos y))) (* x (sin y)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))
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(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
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(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
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(fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
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(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
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(* z (cos y))
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z
(* z (+ 1 (/ (* x y) z)))
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x)
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(fma.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 x) x)
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(fma.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 x) x)
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(fma.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 x) x)
(* -1/6 (* x y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y x))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(*.f64 (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (neg.f64 x))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(*.f64 (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (neg.f64 x))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(*.f64 (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (neg.f64 x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y))) (neg.f64 x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (*.f64 x x))

rewrite270.0ms (2.9%)

Memory
20.9MiB live, 214.5MiB allocated
Rules
7 540×lower-fma.f32
7 528×lower-fma.f64
4 420×lower-*.f32
4 408×lower-*.f64
3 472×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054302
086300
1314265
21949265
08763263
Stop Event
iter limit
node limit
iter limit
Counts
23 → 795
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* y x) z) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/.f64 (cos.f64 y) x)
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(*.f64 x (sin.f64 y))
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(*.f64 #s(literal 1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))
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(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(*.f64 (cos.f64 y) (cos.f64 y))
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eval391.0ms (4.3%)

Memory
-24.3MiB live, 456.3MiB allocated
Compiler

Compiled 45 077 to 3 835 computations (91.5% saved)

prune229.0ms (2.5%)

Memory
-12.6MiB live, 443.8MiB allocated
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1 610211 631
Fresh71219
Picked415
Done033
Total1 621371 658
Accuracy
100.0%
Counts
1 658 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
48.5%
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
72.3%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
51.1%
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
16.9%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
33.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
32.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
36.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
65.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
38.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
49.5%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
60.3%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
83.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) x))
83.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) x))
83.3%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
59.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x))
83.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)) x))
93.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
65.5%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z))
49.0%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
30.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
47.6%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
47.8%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
48.1%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
24.4%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z))
36.8%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
36.8%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
13.8%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
48.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
19.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
48.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
36.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
47.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
13.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
13.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
13.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 917 to 736 computations (19.7% saved)

simplify146.0ms (1.6%)

Memory
30.1MiB live, 216.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y))
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x))
cost-diff704
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)
cost-diff7104
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 (cos.f64 y) z) x)
cost-diff0
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x))
cost-diff0
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
cost-diff0
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff0
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
Rules
11 110×lower-fma.f32
11 102×lower-fma.f64
4 128×lower-*.f32
4 112×lower-*.f64
1 252×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062434
090425
1157413
2322407
3961395
42318349
55257349
08179325
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(cos.f64 y)
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
z
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal -1 binary64)
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x))
(/.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x))
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y))
z
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (cos.f64 y))
(cos.f64 y)
y
#s(literal 2 binary64)
x
(sin.f64 y)
Outputs
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(cos.f64 y)
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
z
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x))
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal -1 binary64)
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x))
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x))
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z))
(/.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (/.f64 (cos.f64 y) x) z)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
z
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
(/.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(cos.f64 y)
(sqrt.f64 (cos.f64 y))
(cos.f64 y)
y
#s(literal 2 binary64)
x
(sin.f64 y)

localize213.0ms (2.3%)

Memory
-12.4MiB live, 363.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
accuracy0.11328125
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y))
accuracy0.139003759768442
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
accuracy7.5443060356653
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)
accuracy0.046875
(/.f64 (*.f64 (cos.f64 y) z) x)
accuracy0.046875
(*.f64 (cos.f64 y) z)
accuracy7.5443060356653
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)
accuracy13.520707674369188
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x))
accuracy0.0546875
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
accuracy0.49515950237628553
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
accuracy15.754839414040857
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
accuracy26.199406439809827
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
accuracy0
(*.f64 y y)
accuracy1.431442925632724
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
accuracy15.754839414040857
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
accuracy15.960321504364304
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
accuracy0
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
accuracy0.04296875
(/.f64 (sin.f64 y) z)
accuracy0.0546875
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy1.5105754696373503
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
Samples
128.0ms182×0valid
37.0ms74×0invalid
Compiler

Compiled 308 to 57 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 30.0ms (26.2% of total)
const: 25.0ms (21.8% of total)
ival-add: 11.0ms (9.6% of total)
ival-pow2: 10.0ms (8.7% of total)
ival-pow: 10.0ms (8.7% of total)
ival-div: 8.0ms (7% of total)
ival-sin: 7.0ms (6.1% of total)
ival-cos: 7.0ms (6.1% of total)
ival-neg: 3.0ms (2.6% of total)
ival-sqrt: 2.0ms (1.7% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.9%)

Memory
0.6MiB live, 196.5MiB allocated
Counts
25 → 708
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) (patch (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) (patch #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (cos.f64 y) z) x) (patch (/.f64 (*.f64 (cos.f64 y) z) x) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
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#s(alt (sin y) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin y) (/ (* z (cos y)) x)) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin y) (/ (* z (cos y)) x)) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin y) (/ (* z (cos y)) x)) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x))
6.0ms
z
@inf
((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x))
6.0ms
y
@-inf
((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x))
5.0ms
y
@inf
((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x))
4.0ms
z
@-inf
((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x))

simplify239.0ms (2.6%)

Memory
-6.6MiB live, 349.1MiB allocated
Algorithm
egg-herbie
Rules
21 378×lower-fma.f64
21 378×lower-fma.f32
6 178×lower-*.f64
6 178×lower-*.f32
3 700×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02977013
19466829
230236734
083756174
Stop Event
iter limit
node limit
Counts
708 → 696
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ (* x (sin y)) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(* z (cos y))
(*.f64 (cos.f64 y) z)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(/ (* x (sin y)) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) x)
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) x)
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) x)
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) x)
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)

rewrite240.0ms (2.6%)

Memory
0.3MiB live, 319.4MiB allocated
Rules
4 478×lower-fma.f32
4 472×lower-*.f32
4 470×lower-fma.f64
4 456×lower-*.f64
3 644×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062400
090395
1350325
22502325
08185308
Stop Event
iter limit
node limit
iter limit
Counts
25 → 406
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x))
(/.f64 (*.f64 (cos.f64 y) z) x)
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x))
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y))
(*.f64 y y)
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(*.f64 (cos.f64 y) z)
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
Outputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (exp.f64 (log.f64 z)) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) (exp.f64 (log.f64 z)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))
(*.f64 (neg.f64 (cos.f64 y)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (/.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (cos.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 y))))
(/.f64 (cos.f64 y) x)
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) x))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (cos.f64 y) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 y))) #s(literal -1 binary64)))

eval528.0ms (5.7%)

Memory
3.1MiB live, 273.2MiB allocated
Compiler

Compiled 16 698 to 2 210 computations (86.8% saved)

prune282.0ms (3.1%)

Memory
7.8MiB live, 304.9MiB allocated
Pruning

47 alts after pruning (41 fresh and 6 done)

PrunedKeptTotal
New1 098221 120
Fresh91928
Picked325
Done044
Total1 110471 157
Accuracy
100.0%
Counts
1 157 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
48.5%
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
72.3%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
51.1%
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
16.9%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
33.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
32.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
36.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
65.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
38.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
49.5%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
68.6%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)))
77.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))))
60.1%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (cos.f64 y) (neg.f64 (sin.f64 y)))))
93.2%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
93.1%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) (cos.f64 y)) z))
65.5%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z))
40.1%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x))
30.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x))
38.0%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) x)) x))
29.4%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x))
29.4%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x))
48.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z (/.f64 x (cos.f64 y)))) x))
48.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))))) x))
48.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 y) z))) x))
48.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x))
49.0%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 z x) (cos.f64 y))) x))
43.0%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
38.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
47.6%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
47.8%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
24.4%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z))
13.2%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))
13.2%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y)))))
36.8%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
3.3%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
3.1%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
3.1%
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
48.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
19.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
48.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
36.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
47.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
13.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
13.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
13.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 1 851 to 857 computations (53.7% saved)

regimes111.0ms (1.2%)

Memory
-2.4MiB live, 268.2MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 z x) (cos.f64 y))) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z (/.f64 x (cos.f64 y)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 y) z))) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) (cos.f64 y)) z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) x))
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))))) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (sin.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (cos.f64 y) (neg.f64 (sin.f64 y)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Calls

4 calls:

37.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
25.0ms
y
22.0ms
x
22.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes58.0ms (0.6%)

Memory
23.9MiB live, 141.0MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 z x) (cos.f64 y))) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z (/.f64 x (cos.f64 y)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

15.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms
y
14.0ms
z
12.0ms
x
Results
AccuracySegmentsBranch
87.9%3x
77.9%3y
88.9%3z
76.9%3(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes35.0ms (0.4%)

Memory
-28.1MiB live, 53.6MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
Calls

2 calls:

21.0ms
x
12.0ms
z
Results
AccuracySegmentsBranch
78.4%3x
76.7%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes45.0ms (0.5%)

Memory
19.5MiB live, 94.7MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

12.0ms
y
11.0ms
z
10.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms
x
Results
AccuracySegmentsBranch
71.0%3z
65.5%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
76.4%3y
71.0%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes49.0ms (0.5%)

Memory
-20.0MiB live, 95.9MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

16.0ms
x
11.0ms
y
9.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
z
Results
AccuracySegmentsBranch
48.7%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
48.7%1x
48.7%1z
48.7%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
Outputs
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
38.9%1y
38.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
41.4%2x
38.9%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
13.6%1z
13.6%1y
13.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.6%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch51.0ms (0.5%)

Memory
-8.1MiB live, 104.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
4.632215584770135e+67
1.488038353196865e+69
26.0ms
-2.3021423109395683e+49
-2.7682863072856605e+41
Samples
38.0ms256×0valid
Compiler

Compiled 220 to 270 computations (-22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 13.0ms (44.9% of total)
ival-sin: 11.0ms (38% of total)
ival-mult: 3.0ms (10.4% of total)
ival-add: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
-5.2MiB live, 73.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.680232928633961e+146
3.409813813675791e+147
17.0ms
-3.9972779945798045e+124
-1.383007499242655e+120
Samples
21.0ms224×0valid
Compiler

Compiled 152 to 210 computations (-38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (40% of total)
ival-cos: 4.0ms (26.7% of total)
ival-mult: 4.0ms (26.7% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-9.0MiB live, 71.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.700094833642645e-13
0.11461427373429088
13.0ms
-7904641.069437709
-2095028.9901360527
Samples
20.0ms240×0valid
Compiler

Compiled 162 to 209 computations (-29% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (34.7% of total)
ival-sin: 5.0ms (34.7% of total)
ival-mult: 3.0ms (20.8% of total)
ival-add: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
29.2MiB live, 29.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
4.680232928633961e+146
3.409813813675791e+147
Samples
7.0ms80×0valid
Compiler

Compiled 72 to 104 computations (-44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 2.0ms (41.4% of total)
ival-cos: 1.0ms (20.7% of total)
ival-mult: 1.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify27.0ms (0.3%)

Memory
-0.2MiB live, 77.1MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066252
174252
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -819999999999999929724470997836857985376190464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 450000000000000032639146371688155806771268484340934879983194569965568 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 x #s(literal -279999999999999996694469753260447842478086349313249325889386516480897399833268882517063917868882691201355854160827256930304 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 539999999999999977470994873631207433375894433203171162421098382840266878529076456350394244714958285070173145504494041939190503353845103230235705344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -2200000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5718490662849961/36893488147419103232 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal 3199999999999999787627735359118791747552630218171077842525632124659835956804589448297552398506401745056568866397772249313852982157676790821687394304 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -819999999999999929724470997836857985376190464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 450000000000000032639146371688155806771268484340934879983194569965568 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -819999999999999929724470997836857985376190464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 450000000000000032639146371688155806771268484340934879983194569965568 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 x #s(literal -279999999999999996694469753260447842478086349313249325889386516480897399833268882517063917868882691201355854160827256930304 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 539999999999999977470994873631207433375894433203171162421098382840266878529076456350394244714958285070173145504494041939190503353845103230235705344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 x #s(literal -279999999999999996694469753260447842478086349313249325889386516480897399833268882517063917868882691201355854160827256930304 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 539999999999999977470994873631207433375894433203171162421098382840266878529076456350394244714958285070173145504494041939190503353845103230235705344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -2200000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5718490662849961/36893488147419103232 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -2200000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5718490662849961/36893488147419103232 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal 3199999999999999787627735359118791747552630218171077842525632124659835956804589448297552398506401745056568866397772249313852982157676790821687394304 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))
(if (<=.f64 x #s(literal 3199999999999999787627735359118791747552630218171077842525632124659835956804589448297552398506401745056568866397772249313852982157676790821687394304 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness1.1s (11.7%)

Memory
-28.1MiB live, 774.3MiB allocated
Rules
21 378×lower-fma.f64
21 378×lower-fma.f32
12 858×lower-fma.f64
12 858×lower-fma.f32
11 480×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02977013
19466829
230236734
083756174
07507700
125907309
084066956
0821
01321
12921
218521
3183621
0839120
0109682
1344678
2981668
32637662
44654662
56949662
08182606
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 216 to 136 computations (37% saved)

preprocess70.0ms (0.8%)

Memory
5.7MiB live, 89.5MiB allocated
Compiler

Compiled 226 to 102 computations (54.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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