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

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.6s (16%)

Memory
45.4MiB live, 1 577.4MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 883.0ms
ival-sin: 404.0ms (45.8% of total)
ival-cos: 257.0ms (29.1% of total)
ival-mult: 170.0ms (19.3% of total)
ival-add: 42.0ms (4.8% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain108.0ms (1.1%)

Memory
-36.6MiB live, 176.4MiB 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
60.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 17.0ms (38.6% of total)
ival-sin: 17.0ms (38.6% of total)
ival-mult: 7.0ms (15.9% of total)
ival-add: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess51.0ms (0.5%)

Memory
2.4MiB live, 39.0MiB 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
0.3MiB live, 0.3MiB 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)

simplify3.0ms (0%)

Memory
5.9MiB live, 5.9MiB 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)

localize32.0ms (0.3%)

Memory
19.4MiB live, 57.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.01171875
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.125
(*.f64 x (sin.f64 y))
accuracy0.12890625
(*.f64 z (cos.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.3% of total)
ival-sin: 6.0ms (37.3% of total)
ival-mult: 3.0ms (18.7% of total)
ival-add: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-14.3MiB live, 22.1MiB 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
5.0ms
z
@0
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms
z
@inf
((+ (* 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
x
@0
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify227.0ms (2.3%)

Memory
9.3MiB live, 237.7MiB 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)

rewrite260.0ms (2.6%)

Memory
15.6MiB live, 333.5MiB 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)

eval34.0ms (0.3%)

Memory
10.4MiB live, 83.9MiB allocated
Compiler

Compiled 8 420 to 573 computations (93.2% saved)

prune48.0ms (0.5%)

Memory
-1.7MiB live, 121.6MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New26517282
Fresh000
Picked101
Done000
Total26617283
Accuracy
99.9%
Counts
283 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.9%
(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)))))
63.9%
(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)))))
47.7%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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)))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
55.6%
(/.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)))
17.5%
(/.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 (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)))))
25.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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)))))
39.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.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)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (/.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)))))
36.9%
(/.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)))
36.4%
(*.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))))
50.3%
#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))
50.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
51.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
38.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
62.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 854 to 448 computations (47.5% saved)

simplify207.0ms (2.1%)

Memory
9.9MiB live, 195.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))
cost-diff0
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
cost-diff0
(*.f64 x x)
cost-diff128
(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))))
cost-diff192
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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)))))
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
14 070×lower-fma.f32
14 062×lower-fma.f64
4 902×lower-*.f32
4 894×lower-*.f64
1 226×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034322
059320
1102318
2214317
3806317
42923317
56220317
08062317
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
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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 x x)
x
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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 (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 (sin.f64 y) x) #s(literal 4 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
#s(literal 4 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
(*.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))))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) x) #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
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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 (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 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 x x)
x
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 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)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(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 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.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 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(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 (sin.f64 y) x) #s(literal 4 binary64)) (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 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))
(-.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 (sin.f64 y) x) #s(literal 4 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
#s(literal 4 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z
(*.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 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(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)
(+.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 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #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))
#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))

localize320.0ms (3.2%)

Memory
-197.8MiB live, 216.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.213222509768442
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy0.23673637698974617
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))
accuracy5.7968502299624705
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))
accuracy46.14352902769835
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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)))))
accuracy0.27181625976844204
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy2.7591165461565073
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy16.98087584971322
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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)))))
accuracy20.914758714516854
(/.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)))
accuracy0
(sin.f64 y)
accuracy0.125
(*.f64 (sin.f64 y) x)
accuracy39.36343972527366
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy0
(fma.f64 y x z)
accuracy30.919130301396404
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.05078125
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy0.12890625
(*.f64 (cos.f64 y) z)
Samples
86.0ms256×0valid
Compiler

Compiled 326 to 35 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-sin: 16.0ms (24.1% of total)
ival-mult: 13.0ms (19.6% of total)
ival-cos: 9.0ms (13.6% of total)
ival-pow2: 8.0ms (12.1% of total)
ival-add: 6.0ms (9% of total)
ival-pow: 6.0ms (9% of total)
ival-div: 5.0ms (7.5% of total)
ival-neg: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series108.0ms (1.1%)

Memory
0.5MiB live, 156.7MiB allocated
Counts
18 → 504
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 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) #<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>) () ())
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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (* x y) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) #<representation binary64>) () ())) ())
#s(alt (* -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))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) #<representation binary64>) () ())) ())
#s(alt (* -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 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -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))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (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))))) #<representation binary64>) () ())) ())
#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 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 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 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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
11.0ms
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) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2))
8.0ms
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) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2))
8.0ms
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) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2))
7.0ms
z
@-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) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2))
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) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2))

simplify192.0ms (1.9%)

Memory
45.7MiB live, 194.9MiB allocated
Algorithm
egg-herbie
Rules
11 922×lower-fma.f64
11 922×lower-fma.f32
7 262×lower-*.f64
7 262×lower-*.f32
3 630×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08237631
128897118
087756795
Stop Event
iter limit
node limit
Counts
504 → 492
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 (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (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)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y)))))
(/ (sin y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2)))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x))
(* (pow x 4) (pow (sin y) 4))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* 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 (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (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))
(* 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 (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (cos y))
(* z (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y))))
(* -1 (/ (pow (sin y) 2) (* z (cos y))))
(/ (+ (* -1 (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (cos y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 2) (cos y)))) (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z)
(* -1 (* (pow z 4) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* -1 (* z (cos y)))
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z)))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))
(* 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))))
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(+ (* x (sin y)) (* z (cos y)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y)))
(* (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))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
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(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
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(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
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(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (sin y) x)
(/ (+ (sin y) (/ (* z (cos y)) x)) x)
(/ (- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) x)
(/ (- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) x)
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (pow (sin y) 4))
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x)
(* x (sin y))
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(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow x 3)))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))
(* (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))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* -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)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(pow x 2)
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(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (* -1 (* z (cos y)))) x))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* -1 (* z (cos y)))) x))) x))
(* (pow x 4) (pow (sin y) 4))
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(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos 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)))))
(* -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 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -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)))))
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(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
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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))
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(+ (* 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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(* z (cos y))
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(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x))))) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) x)
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow x 3)))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)) (sin.f64 y)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z (/.f64 (cos.f64 y) x) (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) (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)
(* 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 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (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)
(* 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 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (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)
(* 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 (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 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (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)
(* 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)))))
(*.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 (/ (* (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 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 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) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(/.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x)))) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))) x))
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (* -1 (* z (cos y)))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (neg.f64 x)) (sin.f64 y)) (neg.f64 x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* -1 (* z (cos y)))) x))) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 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) (sin.f64 y))) x) (*.f64 (cos.f64 y) z)) (neg.f64 x)) #s(literal -1 binary64) (sin.f64 y)) x)
(* (pow x 4) (pow (sin y) 4))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (pow (sin y) 4))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (pow (sin y) 4))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (pow (sin y) 4))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (pow (sin y) 4))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(*.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 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) (sin.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(/.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x)))) x)) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) (neg.f64 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 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -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 (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (cos.f64 y) x))) (neg.f64 x)) (*.f64 (cos.f64 y) z)) 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)

rewrite463.0ms (4.6%)

Memory
-18.5MiB live, 605.7MiB allocated
Rules
5 438×lower-/.f32
5 432×lower-/.f64
5 260×lower-fma.f32
5 252×lower-fma.f64
4 884×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034203
059145
1243145
21788145
09196145
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 713
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)
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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)))))
(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 x x)
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (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)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))
(/.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)))
(pow.f64 (sin.f64 y) #s(literal 2 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))) (*.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)))))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
Outputs
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(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x (sin.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 x (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (*.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 x (sin.f64 y))) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (neg.f64 (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))) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.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)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 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))))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 0 binary64)) (/.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)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.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)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 (-.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)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.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)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.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)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.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)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (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)))))
(+.f64 (/.f64 (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)))) (/.f64 (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 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (sin.f64 y)) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) 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 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (pow.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(*.f64 (sin.f64 y) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 x x)))
(*.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 (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 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #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 (*.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))))

eval564.0ms (5.6%)

Memory
40.7MiB live, 810.1MiB allocated
Compiler

Compiled 132 922 to 3 908 computations (97.1% saved)

prune404.0ms (4%)

Memory
-22.6MiB live, 439.3MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New2 667232 690
Fresh9312
Picked235
Done000
Total2 678292 707
Accuracy
100.0%
Counts
2 707 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
82.2%
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
63.9%
(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)))))
47.4%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))))
72.2%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))))
47.7%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
48.7%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
52.8%
(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))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
55.6%
(/.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)))
56.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))
86.1%
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
93.1%
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
62.8%
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (cos.f64 y) z))
33.6%
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
50.3%
#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))
50.6%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
51.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
19.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
38.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
16.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
15.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
49.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
38.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
49.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
16.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
16.1%
#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)))
15.9%
#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 1 004 to 658 computations (34.5% saved)

simplify103.0ms (1%)

Memory
20.3MiB live, 133.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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
(sqrt.f64 (sin.f64 y))
cost-diff0
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
cost-diff7104
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
cost-diff1280
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
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
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Rules
5 482×lower-fma.f32
5 476×lower-fma.f64
2 496×lower-*.f32
2 488×lower-*.f64
1 620×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038265
061237
198234
2211231
3622231
42104219
55980219
08070212
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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(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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
(neg.f64 z)
z
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(neg.f64 x)
x
(/.f64 y z)
y
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (sin.f64 y))
(sin.f64 y)
y
#s(literal 2 binary64)
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)
Outputs
(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(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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 y x z)))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
#s(approx (+ (* y x) z) (fma.f64 y x z))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
(fma.f64 y x z)
(neg.f64 z)
z
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))
(neg.f64 x)
x
(/.f64 y z)
y
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
(*.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sin.f64 y)
(sqrt.f64 (sin.f64 y))
(sin.f64 y)
y
#s(literal 2 binary64)
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 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 (-.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))

localize161.0ms (1.6%)

Memory
-20.8MiB live, 180.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.13205948876386137
(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))
accuracy0.135097509768442
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy1.3515563074906176
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
accuracy13.51656536439426
(/.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)))
accuracy0.03125
(sqrt.f64 (sin.f64 y))
accuracy0.0546875
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
accuracy0.19921875
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
accuracy20.636582392179925
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
accuracy0
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
accuracy0.7363871626185368
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
accuracy3.102745465655291
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
accuracy15.534142330875873
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
accuracy0
(*.f64 y x)
accuracy15.534142330875873
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy18.263753800178048
#s(approx (+ (* y x) z) (*.f64 y x))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.04296875
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.0546875
(*.f64 (sin.f64 y) x)
Samples
67.0ms123×0invalid
61.0ms133×0valid
Compiler

Compiled 223 to 34 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-add: 27.0ms (34.1% of total)
ival-mult: 16.0ms (20.2% of total)
ival-cos: 8.0ms (10.1% of total)
ival-pow: 8.0ms (10.1% of total)
ival-sin: 6.0ms (7.6% of total)
ival-pow2: 6.0ms (7.6% of total)
ival-div: 4.0ms (5.1% of total)
ival-sqrt: 2.0ms (2.5% of total)
ival-neg: 2.0ms (2.5% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series118.0ms (1.2%)

Memory
39.0MiB live, 111.6MiB allocated
Counts
22 → 624
Calls
Call 1
Inputs
#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 (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.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 (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sin.f64 y)) (patch (sqrt.f64 (sin.f64 y)) #<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 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 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 (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 (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>) () ())
Outputs
#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 y) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<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 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<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 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<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 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<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 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@0
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (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 x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
5.0ms
z
@inf
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (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 x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
4.0ms
y
@inf
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (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 x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
4.0ms
y
@-inf
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (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 x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
4.0ms
x
@0
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (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 x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))

simplify319.0ms (3.2%)

Memory
-8.6MiB live, 260.0MiB allocated
Algorithm
egg-herbie
Rules
8 036×lower-fma.f64
8 036×lower-fma.f32
6 974×lower-*.f64
6 974×lower-*.f32
2 504×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05636769
118316642
264836587
084386251
Stop Event
iter limit
node limit
Counts
624 → 605
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 y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x 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 y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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 (/ (* x y) z))
(/ (+ (* -1 z) (* -1 (* x y))) z)
(/ (+ (* -1 z) (* -1 (* x y))) z)
(/ (+ (* -1 z) (* -1 (* x y))) z)
(* (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) (/ (* 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
(* 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
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(* -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))
(* -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
(* -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
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -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 (/ (* 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
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(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(* -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)))))))
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 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 (* 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))
(* x y)
(* x y)
(* x y)
(* 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)))))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* 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 (* 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)))))))
(sqrt y)
(+ (sqrt y) (* -1/12 (sqrt (pow y 5))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3))))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y))))))))
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))))))
-1
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(* -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))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(/ -1 (pow z 2))
(- (* -1 (* (pow y 2) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(- (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1 (/ (* (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))) (+ (* 2/45 (/ 1 (pow z 2))) (+ (* 2/45 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow z 2))))))) (* 1/3 (/ 1 (pow z 2)))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 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)))
(cos y)
(cos y)
(cos y)
(cos y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin 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 y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z 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 y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(sin y)
(sin y)
(sin y)
(sin 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))
(sqrt (sin y))
(sqrt (sin y))
(sqrt (sin y))
(sqrt (sin y))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (+ (* -1 (* z (cos 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)))
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Outputs
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(* -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 #s(literal 1 binary64) (sin.f64 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))
(/.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 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))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z x) (sin.f64 y)) x)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z))
(* (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))
(* (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)
(/ 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 (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))) (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))

rewrite337.0ms (3.4%)

Memory
-38.0MiB live, 314.7MiB allocated
Rules
10 600×lower-fma.f32
10 594×lower-fma.f64
4 184×lower-*.f32
4 176×lower-*.f64
3 190×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038221
061192
1225190
21385187
08429180
Stop Event
iter limit
node limit
iter limit
Counts
22 → 766
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(sin.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)
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
(neg.f64 z)
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
(sqrt.f64 (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 (-.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))
(fma.f64 (neg.f64 x) (/.f64 y z) #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))
(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))
Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 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 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 (+.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))) (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 (-.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 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 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 (/.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 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 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 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 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))) (-.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 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 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 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(*.f64 (/.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 (-.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 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (+.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 (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 (-.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 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (+.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 (/.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)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (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 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #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))) (/.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))) (+.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 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #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))) (/.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))) (+.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 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.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))) (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 (/.f64 #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))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #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 (/.f64 #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))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #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)))))
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(*.f64 (neg.f64 (neg.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 (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 1 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 1 binary64)))
(*.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)) (pow.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)) #s(literal -1 binary64)))
(*.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 (neg.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))) (neg.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))))
(*.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 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 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)))
(*.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 (+.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))) (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 #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 (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) (/.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)))))
(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)))))
(neg.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)))))
(-.f64 #s(literal 0 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)))))
(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 (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))))))

eval357.0ms (3.6%)

Memory
39.1MiB live, 362.5MiB allocated
Compiler

Compiled 43 466 to 3 244 computations (92.5% saved)

prune212.0ms (2.1%)

Memory
-17.6MiB live, 369.1MiB allocated
Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New1 558151 573
Fresh91221
Picked235
Done033
Total1 569331 602
Accuracy
100.0%
Counts
1 602 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.2%
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
63.9%
(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)))))
72.9%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x))
72.2%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))))
47.7%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
48.7%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
52.8%
(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))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
34.4%
(/.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))))
51.9%
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
52.0%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (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))))
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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
86.1%
#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 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
62.8%
#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))
33.6%
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
50.6%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
51.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
19.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
38.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
16.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
15.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
49.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
43.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z)))
27.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
38.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
49.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
49.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))))))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
38.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
16.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
16.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
15.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 1 021 to 704 computations (31% saved)

simplify149.0ms (1.5%)

Memory
1.3MiB live, 117.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x))
cost-diff5824
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64))
cost-diff8000
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
cost-diff448
(/.f64 z (*.f64 (neg.f64 z) z))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
cost-diff1280
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))
cost-diff0
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) z) x (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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Rules
4 442×lower-fma.f32
4 436×lower-fma.f64
2 934×lower-*.f32
2 918×lower-*.f64
1 342×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060389
088370
1156360
2329340
31213329
43653305
55981305
67723305
08129296
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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))
(neg.f64 z)
z
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))
(neg.f64 z)
z
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(neg.f64 y)
y
(/.f64 x z)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
#s(literal 1 binary64)
(/.f64 z (*.f64 (neg.f64 z) z))
z
(*.f64 (neg.f64 z) z)
(neg.f64 z)
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(neg.f64 x)
x
(/.f64 y z)
y
#s(literal -1 binary64)
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)))
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64))
(cos.f64 y)
y
#s(literal 1/2 binary64)
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))
#s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 z))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))
#s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 z)))
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))
(*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (neg.f64 y) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 y) z) x)
(neg.f64 y)
y
(/.f64 x z)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 x y z)))
#s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
#s(approx (+ (* y x) z) (fma.f64 x y z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
(fma.f64 x y z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(neg.f64 z)
#s(literal 1 binary64)
(/.f64 z (*.f64 (neg.f64 z) z))
(/.f64 #s(literal -1 binary64) z)
z
(*.f64 (neg.f64 z) z)
(neg.f64 z)
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))
(neg.f64 x)
x
(/.f64 y z)
y
#s(literal -1 binary64)
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)))
(cos.f64 y)
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 y))
(cos.f64 y)
y
#s(literal 1/2 binary64)
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x

localize598.0ms (6%)

Memory
0.4MiB live, 158.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64))
accuracy0.03125
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x))
accuracy0.078125
(*.f64 (sin.f64 y) x)
accuracy0.1015625
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)))
accuracy0.2723646485307337
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
accuracy4.0635868881776425
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
accuracy14.157646750048409
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
accuracy22.37836660595882
(/.f64 z (*.f64 (neg.f64 z) z))
accuracy3.8435034928146394
(*.f64 (neg.f64 y) (/.f64 x z))
accuracy4.0635868881776425
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))
accuracy14.157646750048409
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
accuracy26.83522016134632
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))
accuracy0
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))
accuracy4.0635868881776425
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))
accuracy14.157646750048409
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
accuracy18.856308835400064
#s(approx (+ (* (neg x) (/ y z)) -1) #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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy0.05078125
(/.f64 (sin.f64 y) z)
accuracy0.05859375
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy3.131209360480389
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Samples
204.0ms187×0valid
26.0ms69×0invalid
Compiler

Compiled 257 to 46 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 83.0ms (64% of total)
ival-div: 10.0ms (7.7% of total)
ival-pow: 8.0ms (6.2% of total)
ival-add: 6.0ms (4.6% of total)
ival-cos: 6.0ms (4.6% of total)
ival-sin: 5.0ms (3.9% of total)
ival-pow2: 4.0ms (3.1% of total)
ival-neg: 3.0ms (2.3% of total)
ival-sqrt: 2.0ms (1.5% of total)
ival-sub: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series92.0ms (0.9%)

Memory
4.7MiB live, 86.2MiB allocated
Counts
24 → 696
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (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 (/.f64 (sin.f64 y) z) x (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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #<representation binary64>) () ())
#s(alt (/.f64 z (*.f64 (neg.f64 z) z)) (patch (/.f64 z (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) (patch (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
22.0ms
y
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x))
4.0ms
y
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x))
3.0ms
z
@0
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x))
3.0ms
z
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x))
3.0ms
z
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x))

simplify264.0ms (2.6%)

Memory
-3.7MiB live, 229.8MiB allocated
Algorithm
egg-herbie
Rules
14 338×lower-fma.f64
14 338×lower-fma.f32
4 234×lower-*.f64
4 234×lower-*.f32
3 636×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02184638
16814539
219404522
350784433
089624047
Stop Event
iter limit
node limit
Counts
696 → 670
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)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
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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)) 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)))))
(* x y)
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(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* -1 (/ (* x y) z))
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(* -1 (* x (+ (/ 1 x) (/ y z))))
(* x (sin y))
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(* x (sin y))
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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)
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(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(*.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)))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(* x (sin y))
(*.f64 (sin.f64 y) x)
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(+ (* 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)))
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(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(*.f64 (neg.f64 y) (/.f64 x z))
(/ (+ (* -1 z) (* -1 (* x y))) z)
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(*.f64 (cos.f64 y) z)
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(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) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos y)
(cos.f64 y)
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(/ (sin y) z)
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(/ (sin y) z)
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(/ (sin y) z)
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(*.f64 (cos.f64 y) z)
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(*.f64 (cos.f64 y) z)
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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))
(* 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)
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(/.f64 (fma.f64 y x z) (neg.f64 z))
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(cos y)
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(* x (sin y))
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(* -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)
(* -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))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(/.f64 (fma.f64 y x z) (neg.f64 z))
(* 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)

rewrite233.0ms (2.3%)

Memory
13.7MiB live, 370.6MiB allocated
Rules
7 144×lower-fma.f32
7 138×lower-fma.f64
4 450×lower-*.f32
4 434×lower-*.f64
3 780×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060326
088311
1317278
22057268
08615263
Stop Event
iter limit
node limit
iter limit
Counts
24 → 865
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))
(neg.f64 z)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 z (*.f64 (neg.f64 z) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)))
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(*.f64 (sin.f64 y) x)
Outputs
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.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 x (/.f64 (sin.f64 y) z)) z))
(fma.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 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) #s(literal 1 binary64)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(+.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.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))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
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(/.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 z x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(/.f64 (neg.f64 x) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 y) (/.f64 z x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (neg.f64 x) y))))
(neg.f64 (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (/.f64 y z) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (*.f64 (neg.f64 x) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x z) #s(literal -1 binary64)) y #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 x z) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x) #s(literal -1 binary64))
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 x (neg.f64 (/.f64 y z)) #s(literal -1 binary64))
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 y (neg.f64 (/.f64 x z)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x))
(+.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal -1 binary64))
(+.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))
(*.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 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))

eval236.0ms (2.4%)

Memory
31.3MiB live, 612.4MiB allocated
Compiler

Compiled 30 731 to 4 387 computations (85.7% saved)

prune258.0ms (2.6%)

Memory
-32.6MiB live, 597.6MiB allocated
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New1 732211 753
Fresh71522
Picked415
Done066
Total1 743431 786
Accuracy
100.0%
Counts
1 786 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x))
82.2%
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
63.9%
(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)))))
72.9%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) z (*.f64 (sin.f64 y) x))
72.9%
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
72.2%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))))
52.8%
(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))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
34.4%
(/.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))))
33.5%
#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 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z))
52.0%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (neg.f64 z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 (cos.f64 y)) z (*.f64 (sin.f64 y) x))))
79.6%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
70.9%
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
67.7%
#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 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z))
86.1%
#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 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
89.7%
#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 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) z))
89.7%
#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 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
62.8%
#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))
49.4%
#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 (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
13.9%
#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 (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z))))
50.6%
#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 (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
33.6%
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
51.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
19.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
38.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
16.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
15.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
43.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z)))
22.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
27.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
27.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z))))))
7.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
22.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
38.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
45.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z)))
49.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
13.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y))))))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
16.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
16.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
15.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 2 100 to 839 computations (60% saved)

regimes130.0ms (1.3%)

Memory
3.4MiB live, 232.4MiB allocated
Counts
77 → 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* (sin y) x) (* (cos y) z)) (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 (* (+ (* (/ (sin y) z) x) (cos y)) z) (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 y) x) y)))
#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 (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z 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 (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x 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 (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #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)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z))
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 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))
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (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 (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 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z))
(fma.f64 (cos.f64 y) z (*.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))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x))
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.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 (sin.f64 y) (/.f64 x 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 (/.f64 (cos.f64 y) x) z (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 (sin.f64 y) z) x (cos.f64 y)) z))
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) 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 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) z))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) z (*.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)) #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))))
#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 (cos.f64 y) #s(literal 2 binary64)) z) (neg.f64 z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.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 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.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 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #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)))))
(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 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(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)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (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 (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))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 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 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 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))) (*.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 (-.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))))
(/.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 (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 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.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)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (/.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)))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Calls

4 calls:

55.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
25.0ms
z
24.0ms
y
22.0ms
x
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)

regimes59.0ms (0.6%)

Memory
-24.7MiB live, 103.8MiB allocated
Counts
40 → 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* (sin y) x) (* (cos y) z)) (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 (* (+ (* (/ (sin y) z) x) (cos y)) z) (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 y) x) y)))
#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 (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z 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 (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x 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 (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #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)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z))
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 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))
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (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 (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 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Calls

4 calls:

18.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms
y
12.0ms
x
12.0ms
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)

regimes52.0ms (0.5%)

Memory
16.5MiB live, 134.5MiB allocated
Counts
39 → 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* (sin y) x) (* (cos y) z)) (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 (* (+ (* (/ (sin y) z) x) (cos y)) z) (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 y) x) y)))
#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 (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z 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 (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x 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 (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #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)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z))
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 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))
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (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 (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 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (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 (/.f64 (sin.f64 y) z) x #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:

13.0ms
y
13.0ms
x
12.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms
z
Results
AccuracySegmentsBranch
80.8%3x
80.2%3y
81.5%3z
72.9%3(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes40.0ms (0.4%)

Memory
18.8MiB live, 93.5MiB allocated
Counts
38 → 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* (sin y) x) (* (cos y) z)) (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 (* (+ (* (/ (sin y) z) x) (cos y)) z) (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 y) x) y)))
#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 (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z 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 (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x 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 (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #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)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z))
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 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))
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (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 (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 (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))) (*.f64 (sin.f64 y) x))
Calls

3 calls:

14.0ms
y
13.0ms
z
11.0ms
x
Results
AccuracySegmentsBranch
80.2%3y
77.2%3x
76.7%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes42.0ms (0.4%)

Memory
-32.1MiB live, 86.6MiB allocated
Counts
35 → 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* (sin y) x) (* (cos y) z)) (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 (* (+ (* (/ (sin y) z) x) (cos y)) z) (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 y) x) y)))
#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 (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z 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 (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x 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 (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #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)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z))
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#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 (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))) (*.f64 (cos.f64 y) z))
Calls

3 calls:

15.0ms
y
12.0ms
x
10.0ms
z
Results
AccuracySegmentsBranch
69.8%3z
71.6%3x
76.3%3y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes46.0ms (0.5%)

Memory
19.1MiB live, 102.5MiB allocated
Counts
34 → 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* (sin y) x) (* (cos y) z)) (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 (* (+ (* (/ (sin y) z) x) (cos y)) z) (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 y) x) y)))
#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 (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z 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 (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x 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 (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))))
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #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)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z))
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

12.0ms
z
12.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
51.7%1z
51.7%1x
51.7%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
51.7%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
-21.8MiB live, 16.3MiB allocated
Counts
2 → 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 (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
Outputs
#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 (+ (* (/ (sin y) z) x) (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:

4.0ms
y
2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
40.5%2y
44.6%3x
38.9%1z
38.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB 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
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
16.3%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.3%1z
16.3%1y
16.3%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch30.0ms (0.3%)

Memory
10.1MiB live, 48.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
7.278440491917773e+128
1.0348607195552831e+130
16.0ms
-1.6172130620996209e-15
-2.303639332682667e-17
Samples
19.0ms208×0valid
Compiler

Compiled 220 to 248 computations (-12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 6.0ms (42.2% of total)
ival-cos: 4.0ms (28.1% of total)
ival-mult: 3.0ms (21.1% of total)
ival-add: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
-17.1MiB live, 69.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
10.2690561331201
8287.328150709578
14.0ms
-29644092.65767676
-12215284.373196747
Samples
29.0ms208×0valid
Compiler

Compiled 272 to 261 computations (4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 8.0ms (40.9% of total)
ival-sin: 8.0ms (40.9% of total)
ival-mult: 3.0ms (15.3% of total)
ival-add: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
-10.6MiB live, 27.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.2228183213232606e-11
9.326878011867105e-7
1.0ms
-29644092.65767676
-12215284.373196747
Samples
8.0ms128×0valid
Compiler

Compiled 272 to 261 computations (4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42.4% of total)
ival-add: 1.0ms (21.2% of total)
ival-cos: 1.0ms (21.2% of total)
ival-sin: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
29.4MiB live, 67.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.7414718153044632e+119
9.806819625926456e+120
16.0ms
-3.529411580615661e+185
-1.2880449586626787e+182
Samples
23.0ms240×0valid
Compiler

Compiled 162 to 239 computations (-47.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 8.0ms (47.3% of total)
ival-cos: 5.0ms (29.5% of total)
ival-mult: 3.0ms (17.7% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.3%)

Memory
-16.8MiB live, 66.1MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077334
186334
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -1419768672255617/40564819207303340847894502572032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 750000000000000075620126025471898273474196847162555088373773267425280824765939042290262159562190895425821661047164609982619451392 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 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 21/2 binary64)) #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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #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 (+ (* 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 -1349999999999999910212629618262083169008974173713799530162103223721288345753103544496032772778578520435022424947330257926264550166690672506835861559133028291852151805532184534774185984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200 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 (+ (* (/ (sin y) z) x) (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)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -1419768672255617/40564819207303340847894502572032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 750000000000000075620126025471898273474196847162555088373773267425280824765939042290262159562190895425821661047164609982619451392 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 (/.f64 (sin.f64 y) z) x #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 -1419768672255617/40564819207303340847894502572032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 750000000000000075620126025471898273474196847162555088373773267425280824765939042290262159562190895425821661047164609982619451392 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 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 21/2 binary64)) #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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 21/2 binary64)) #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)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #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)) #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 -1349999999999999910212629618262083169008974173713799530162103223721288345753103544496032772778578520435022424947330257926264550166690672506835861559133028291852151805532184534774185984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200 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 (+ (* (/ (sin y) z) x) (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 -1349999999999999910212629618262083169008974173713799530162103223721288345753103544496032772778578520435022424947330257926264550166690672506835861559133028291852151805532184534774185984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200 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 (+ (* (/ (sin y) z) x) (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)))

soundness1.3s (12.7%)

Memory
9.5MiB live, 839.4MiB allocated
Rules
14 338×lower-fma.f64
14 338×lower-fma.f32
12 858×lower-fma.f64
12 858×lower-fma.f32
11 922×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3183621
0839120
08237631
128897118
087756795
05636769
118316642
264836587
084386251
0109682
1344678
2981668
32637662
44654662
56949662
08182606
02184638
16814539
219404522
350784433
089624047
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 302 to 181 computations (40.1% saved)

preprocess143.0ms (1.4%)

Memory
18.9MiB live, 97.5MiB allocated
Compiler

Compiled 306 to 124 computations (59.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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