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

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (19.2%)

Memory
-9.5MiB live, 1 415.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 608.0ms
ival-cos: 203.0ms (33.4% of total)
ival-sin: 202.0ms (33.2% of total)
ival-mult: 154.0ms (25.3% of total)
ival-sub: 38.0ms (6.3% of total)
ival-true: 8.0ms (1.3% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain246.0ms (3.3%)

Memory
28.4MiB live, 228.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
57.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-cos: 18.0ms (44.8% of total)
ival-sin: 11.0ms (27.4% of total)
ival-mult: 7.0ms (17.4% of total)
ival-sub: 2.0ms (5% of total)
ival-true: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess50.0ms (0.7%)

Memory
-3.9MiB live, 83.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
19084
218184
338784
469884
592284
6112484
7120084
8120984
9121384
089
0139
1209
2329
3449
4659
5959
61539
72269
82929
93229
103389
03389
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify12.0ms (0.2%)

Memory
-28.8MiB live, 10.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12024
23224
34424
46524
59524
615324
722624
829224
932224
1033824
033824
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize30.0ms (0.4%)

Memory
26.2MiB live, 26.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.0078125
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.109375
(*.f64 x (cos.f64 y))
accuracy0.1171875
(*.f64 z (sin.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (38.1% of total)
ival-sin: 5.0ms (31.8% of total)
ival-mult: 4.0ms (25.4% of total)
ival-sub: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
4 → 25
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
Calls

9 calls:

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

simplify221.0ms (2.9%)

Memory
-35.9MiB live, 121.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097255
1292250
2850244
32094238
43669238
56309238
08691217
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))

rewrite193.0ms (2.6%)

Memory
35.3MiB live, 225.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13319
221019
3196619
0830719
Stop Event
iter limit
node limit
iter limit
Counts
4 → 228
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
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(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))

eval38.0ms (0.5%)

Memory
-26.1MiB live, 27.9MiB allocated
Compiler

Compiled 12 028 to 736 computations (93.9% saved)

prune13.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New23314247
Fresh000
Picked101
Done000
Total23414248
Accuracy
99.9%
Counts
248 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
55.8%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
64.5%
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
80.8%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
67.5%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
75.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
55.8%
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
54.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 550 to 364 computations (33.8% saved)

simplify120.0ms (1.6%)

Memory
23.2MiB live, 125.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff128
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
cost-diff27456
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028194
045177
174177
2145177
3363176
41112176
54026176
66171176
08182174
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
#s(literal 1 binary64)
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) y x)
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)

localize143.0ms (1.9%)

Memory
-17.2MiB live, 144.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1796875
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
accuracy0.19921875
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy2.347641800811441
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy28.12906454938827
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
accuracy0.0
(neg.f64 z)
accuracy0.0
(cos.f64 y)
accuracy0.0703125
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.1171875
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy0.0
(sin.f64 y)
accuracy0.0
(neg.f64 z)
accuracy0.1171875
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy40.199261746853296
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.0
(*.f64 z y)
accuracy0.00390625
(-.f64 x (*.f64 z y))
accuracy29.350901769164047
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy0.0
(neg.f64 z)
accuracy0.0
(cos.f64 y)
accuracy0.0546875
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
accuracy0.109375
(*.f64 (cos.f64 y) x)
Samples
119.0ms256×0valid
Compiler

Compiled 380 to 55 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 20.0ms (43.1% of total)
ival-sin: 7.0ms (15.1% of total)
ival-cos: 5.0ms (10.8% of total)
ival-pow2: 5.0ms (10.8% of total)
ival-sub: 4.0ms (8.6% of total)
ival-div: 2.0ms (4.3% of total)
ival-add: 2.0ms (4.3% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series80.0ms (1.1%)

Memory
-6.6MiB live, 110.4MiB allocated
Counts
16 → 95
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(sin.f64 y)
(neg.f64 z)
(*.f64 (cos.f64 y) x)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
Outputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(/ -1 (* z (sin y)))
(- (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ -1 (* x (cos y)))
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x)
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (cos y)))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
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))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* y z)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
1
(+ 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 (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(/ -1 x)
(- (/ (* y z) (pow x 2)) (/ 1 x))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3)))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(* -1 x)
(- (* -1 (* y z)) x)
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x)
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x)
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(sin y)
(* y (- (/ x y) z))
(cos y)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y))))
(- (* -1 (* z (sin y))) (* x (cos y)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 z)
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y))))
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
Calls

9 calls:

TimeVariablePointExpression
43.0ms
x
@-inf
((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
9.0ms
y
@inf
((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
6.0ms
z
@-inf
((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
4.0ms
x
@0
((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))
4.0ms
y
@-inf
((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2))

simplify242.0ms (3.2%)

Memory
10.9MiB live, 283.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04271730
114051648
248801608
081171513
Stop Event
iter limit
node limit
Counts
95 → 93
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(/ -1 (* z (sin y)))
(- (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ -1 (* x (cos y)))
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x)
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (cos y)))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
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))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* y z)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
1
(+ 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 (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(/ -1 x)
(- (/ (* y z) (pow x 2)) (/ 1 x))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3)))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(* -1 x)
(- (* -1 (* y z)) x)
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x)
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x)
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(sin y)
(* y (- (/ x y) z))
(cos y)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y))))
(- (* -1 (* z (sin y))) (* x (cos y)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 z)
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y))))
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(- x (* y z))
(-.f64 x (*.f64 z y))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(- (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* z (sin y))))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(- (* x (- (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) x (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
(/ -1 (* x (cos y)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x))
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x)
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x)
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x) (/.f64 #s(literal -1 binary64) (cos.f64 y)))) x)
(* -1 (* x (cos y)))
(*.f64 (neg.f64 x) (cos.f64 y))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (*.f64 (*.f64 z z) (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) 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)
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))) (*.f64 y y) x)
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(* y z)
(*.f64 z y)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y)
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 (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x)
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (fma.f64 (*.f64 z (+.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) x))) y (/.f64 (fma.f64 x x (*.f64 z z)) x))) y (neg.f64 z)) y x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ (* y z) (pow x 2)) (/ 1 x))
(fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3)))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) z (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (neg.f64 x))) y (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))) y (/.f64 z (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(* -1 x)
(neg.f64 x)
(- (* -1 (* y z)) x)
(neg.f64 (fma.f64 z y x))
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (neg.f64 z)) y (neg.f64 x))
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y (neg.f64 x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 x x (*.f64 z z))) y) y (fma.f64 x x (*.f64 z z))) (*.f64 y y)))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2/45 binary64) (fma.f64 x x (*.f64 z z))) y) y (*.f64 #s(literal -1/3 binary64) (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (fma.f64 x x (*.f64 z z))) (*.f64 y y)))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 y y) z) z)
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 z z)) y) y)
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(*.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 y y) (*.f64 z z)) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 z z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))))) (*.f64 y y))
(sin y)
(sin.f64 y)
(* y (- (/ x y) z))
(*.f64 (-.f64 (/.f64 x y) z) y)
(cos y)
(cos.f64 y)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(- (* -1 (* z (sin y))) (* x (cos y)))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 (-.f64 (/.f64 x y) z) y)
(* -1 z)
(neg.f64 z)
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y))))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x)
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x)))
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ x z) y))
(*.f64 (-.f64 (/.f64 x z) y) z)
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) (neg.f64 z))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z)))) (*.f64 z z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z)) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) (neg.f64 z))

rewrite273.0ms (3.6%)

Memory
-16.7MiB live, 368.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028138
045121
1181121
21134120
08574118
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 451
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(sin.f64 y)
(neg.f64 z)
(*.f64 (cos.f64 y) x)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)))))
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(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (*.f64 z z))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) z)
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z)) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z)) (sin.f64 y))
(*.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (*.f64 z z) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))))
(*.f64 (*.f64 z z) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))
(*.f64 z (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (pow.f64 (*.f64 z (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) (pow.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (*.f64 (neg.f64 z) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))))
(+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) #s(literal 0 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))

eval211.0ms (2.8%)

Memory
5.1MiB live, 272.1MiB allocated
Compiler

Compiled 49 726 to 3 584 computations (92.8% saved)

prune47.0ms (0.6%)

Memory
-7.7MiB live, 115.9MiB allocated
Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New1 168221 190
Fresh549
Picked145
Done000
Total1 174301 204
Accuracy
100.0%
Counts
1 204 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.8%
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
68.7%
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 z (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
80.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
75.2%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x (*.f64 (neg.f64 z) (sin.f64 y)))
44.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
75.5%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
64.5%
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
80.8%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
67.5%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
99.7%
(*.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
18.0%
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
36.7%
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
54.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
89.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
19.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) (sin.f64 y)))
11.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
49.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
48.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
43.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
16.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
16.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
92.1%
#s(approx (+ (* (sin y) (neg z)) (* (cos y) x)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
31.9%
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x))
Compiler

Compiled 1 342 to 879 computations (34.5% saved)

simplify187.0ms (2.5%)

Memory
-0.6MiB live, 166.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
cost-diff192
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
cost-diff320
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))))
cost-diff0
(fma.f64 (neg.f64 z) y x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
cost-diff0
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
cost-diff0
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
cost-diff320
(*.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
cost-diff33920
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049348
080312
1151282
2362279
31073279
44076279
08628279
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(literal -1 binary64)
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(neg.f64 x)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
z
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
#s(literal 1 binary64)
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
Outputs
(*.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
#s(literal -1 binary64)
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
#s(literal -1 binary64)
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))
(neg.f64 x)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) y)
(neg.f64 y)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))
(fma.f64 (neg.f64 z) y x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
z
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
#s(literal 1 binary64)
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x

localize166.0ms (2.2%)

Memory
3.0MiB live, 202.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.487806981743973
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
accuracy3.24733718899895
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
accuracy28.12906454938827
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
accuracy35.39595099881705
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
accuracy0.1171875
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.5209640722749762
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))))
accuracy40.199261746853296
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
accuracy0.0
(neg.f64 z)
accuracy0.17578125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))
accuracy0.40645697455893104
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))
accuracy29.350901769164047
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy29.350901769164047
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
accuracy33.06224089845047
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
accuracy0.0703125
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
accuracy0.1171875
(*.f64 z (sin.f64 y))
accuracy0.18359375
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
accuracy0.21484375
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Samples
98.0ms256×0valid
Compiler

Compiled 656 to 94 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 26.0ms (35.5% of total)
ival-sin: 10.0ms (13.7% of total)
ival-div: 8.0ms (10.9% of total)
ival-pow2: 7.0ms (9.6% of total)
ival-cos: 6.0ms (8.2% of total)
ival-sub: 4.0ms (5.5% of total)
ival-neg: 4.0ms (5.5% of total)
ival-pow: 4.0ms (5.5% of total)
ival-add: 3.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series55.0ms (0.7%)

Memory
23.6MiB live, 60.8MiB allocated
Counts
25 → 169
Calls
Call 1
Inputs
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(neg.f64 z)
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
Outputs
-1
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(+ x (* -1 (* y z)))
(/ -1 (* y z))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(/ -1 (* z (sin y)))
(- (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ 1 x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(/ -1 (* x (cos y)))
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x)
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (cos y)))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 y)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(/ -1 x)
(- (/ (* y z) (pow x 2)) (/ 1 x))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3)))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(* -1 x)
(- (* -1 (* y z)) x)
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x)
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x)
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ (* -1 x) (* y z))
(+ (* -1 x) (* y (+ z (* 1/2 (* x y)))))
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 x))))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
(* -1 (+ (* -1 (* x (cos y))) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(* y (- (/ x y) z))
(* y (+ (* -1 z) (/ x y)))
(/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y)
(/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y))))
(- (* -1 (* z (sin y))) (* x (cos y)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* z (pow (sin y) 2))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y))))
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* -1 z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(* z (+ (* -1 y) (/ x z)))
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
y
@inf
((* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (pow (+ (* x (cos y)) (* z (sin y))) -1) (+ (* x (cos y)) (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (* z (sin y)) (+ (* (neg x) (cos y)) (* z (sin y))) (neg z) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z))
9.0ms
z
@0
((* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (pow (+ (* x (cos y)) (* z (sin y))) -1) (+ (* x (cos y)) (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (* z (sin y)) (+ (* (neg x) (cos y)) (* z (sin y))) (neg z) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z))
5.0ms
y
@-inf
((* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (pow (+ (* x (cos y)) (* z (sin y))) -1) (+ (* x (cos y)) (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (* z (sin y)) (+ (* (neg x) (cos y)) (* z (sin y))) (neg z) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z))
4.0ms
z
@inf
((* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (pow (+ (* x (cos y)) (* z (sin y))) -1) (+ (* x (cos y)) (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (* z (sin y)) (+ (* (neg x) (cos y)) (* z (sin y))) (neg z) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z))
4.0ms
z
@-inf
((* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (pow (+ (* x (cos y)) (* z (sin y))) -1) (+ (* x (cos y)) (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (* z (sin y)) (+ (* (neg x) (cos y)) (* z (sin y))) (neg z) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z))

simplify412.0ms (5.5%)

Memory
-22.0MiB live, 171.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07403454
124543287
083143133
Stop Event
iter limit
node limit
Counts
169 → 168
Calls
Call 1
Inputs
-1
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(+ x (* -1 (* y z)))
(/ -1 (* y z))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(/ -1 (* z (sin y)))
(- (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ 1 x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(/ -1 (* x (cos y)))
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x)
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (cos y)))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
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(+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(/ -1 x)
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(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3)))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(* -1 x)
(- (* -1 (* y z)) x)
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x)
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x)
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ (* -1 x) (* y z))
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(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 x))))))
(* -1 (pow x 2))
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(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
(* -1 (+ (* -1 (* x (cos y))) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(* y (- (/ x y) z))
(* y (+ (* -1 z) (/ x y)))
(/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y)
(/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y))))
(- (* -1 (* z (sin y))) (* x (cos y)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* z (pow (sin y) 2))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y))))
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* -1 z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(* z (+ (* -1 y) (/ x z)))
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
Outputs
-1
#s(literal -1 binary64)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) (/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) x (/.f64 (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(- x (* y z))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(fma.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) z) z)) x (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z))) x (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(/ -1 (* z (sin y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)
(- (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* z (sin y))))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(- (* x (- (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (fma.f64 (neg.f64 (*.f64 z (/.f64 z (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x)))) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ (* y z) x)) x)
(/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) x) (*.f64 y y) (*.f64 z y)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 z z) x) (*.f64 y y) (*.f64 z y)) (neg.f64 x))) x)
(/ -1 (* x (cos y)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x)
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x)
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(* -1 (* x (cos y)))
(*.f64 (neg.f64 x) (cos.f64 y))
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))) x)
(* -1 (* (pow x 2) (pow (cos y) 2)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 z z) x) (*.f64 y y) (*.f64 z y)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 z y (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) z) z))) (neg.f64 x))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
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(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y)))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
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(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
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(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z))))) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ x z) y))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 x y) (/.f64 x (*.f64 z z)))) y) (/.f64 #s(literal 1 binary64) z)) y)
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x z) (/.f64 (/.f64 x y) y))) z) (/.f64 #s(literal 1 binary64) y))) z)
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
(/.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z)
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z)))) (*.f64 z z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z)) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))
(/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x z) (/.f64 (/.f64 x y) y))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 z)) (/.f64 (/.f64 x y) y)) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z)) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z)
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z)

rewrite166.0ms (2.2%)

Memory
8.9MiB live, 129.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049292
080274
1294223
01907223
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 594
Calls
Call 1
Inputs
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(neg.f64 z)
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
Outputs
#s(literal -1 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))))
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 z) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 z) (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
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(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (*.f64 (cos.f64 y) x))
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(fma.f64 (pow.f64 z #s(literal 1 binary64)) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)))
(fma.f64 (neg.f64 z) (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
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(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
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(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
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(fma.f64 (sin.f64 y) (neg.f64 (neg.f64 z)) (*.f64 (cos.f64 y) x))
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(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)))
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#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
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(neg.f64 (neg.f64 (fma.f64 (neg.f64 z) y x)))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 #s(literal -1 binary64) (*.f64 z y) x)
(fma.f64 z (neg.f64 y) x)
(fma.f64 y (neg.f64 z) x)
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(-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y x)))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) y (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 z y) #s(literal 1 binary64)))
(-.f64 x (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)))
(+.f64 (*.f64 (neg.f64 z) y) x)
(+.f64 x (*.f64 (neg.f64 z) y))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64)) x (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (neg.f64 (neg.f64 z)) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (neg.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) z))
(fma.f64 (neg.f64 z) (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (sin.f64 y) (pow.f64 z #s(literal 1 binary64)) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 x (neg.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
(*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z))
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))

eval192.0ms (2.5%)

Memory
6.1MiB live, 131.0MiB allocated
Compiler

Compiled 26 836 to 2 703 computations (89.9% saved)

prune56.0ms (0.7%)

Memory
-17.1MiB live, 58.1MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New75114765
Fresh12921
Picked415
Done044
Total76728795
Accuracy
100.0%
Counts
795 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
75.2%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x (*.f64 (neg.f64 z) (sin.f64 y)))
44.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
80.8%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
64.3%
(*.f64 (*.f64 #s(approx (pow (+ (* x (cos y)) (* z (sin y))) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
36.7%
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
37.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
34.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))))
40.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
15.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
41.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal 1 binary64) x))))
16.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
16.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
54.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
89.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
11.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
48.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
43.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
16.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
49.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
16.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
64.1%
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 1 308 to 891 computations (31.9% saved)

simplify117.0ms (1.5%)

Memory
5.9MiB live, 51.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
cost-diff64
(fma.f64 z z #s(literal 0 binary64))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
cost-diff6912
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)
cost-diff0
#s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
cost-diff0
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
cost-diff0
#s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
cost-diff1024
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 (/.f64 x y) z)
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
cost-diff704
(*.f64 (-.f64 (/.f64 x y) z) y)
cost-diff0
(/.f64 (cos.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
cost-diff704
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055371
085337
1143330
2284318
3999318
44085302
56570302
08049302
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(neg.f64 (sin.f64 y))
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
(*.f64 (-.f64 (/.f64 x y) z) y)
(-.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
(neg.f64 y)
y
(/.f64 z x)
z
x
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)))
#s(literal 1 binary64)
#s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))
(/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal -1/6 binary64)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(fma.f64 z z #s(literal 0 binary64))
z
#s(literal 0 binary64)
(pow.f64 (neg.f64 z) #s(literal 3 binary64))
(neg.f64 z)
#s(literal 3 binary64)
(sin.f64 y)
y
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(neg.f64 (sin.f64 y))
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (fma.f64 (neg.f64 z) y x)))
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (fma.f64 (neg.f64 z) y x))
(*.f64 (-.f64 (/.f64 x y) z) y)
(fma.f64 (neg.f64 z) y x)
(-.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (fma.f64 (neg.f64 z) y x)))
#s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (fma.f64 (neg.f64 z) y x))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 z) y x)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))
(neg.f64 y)
y
(/.f64 z x)
z
x
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)))
#s(literal 1 binary64)
#s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))
#s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))
(/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal -1/6 binary64)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
#s(literal 1 binary64)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) z)
(fma.f64 z z #s(literal 0 binary64))
(*.f64 z z)
z
#s(literal 0 binary64)
(pow.f64 (neg.f64 z) #s(literal 3 binary64))
(neg.f64 z)
#s(literal 3 binary64)
(sin.f64 y)
y

localize201.0ms (2.7%)

Memory
8.3MiB live, 122.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y))
accuracy0.15234375
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
accuracy40.199261746853296
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
accuracy43.05343810367283
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
accuracy6.467094289258168
(/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)
accuracy7.89555678058911
(/.f64 (*.f64 y y) z)
accuracy29.775876918460327
#s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))
accuracy40.199261746853296
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
accuracy0.0
#s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
accuracy1.7037018114013414
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
accuracy5.234705859756162
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
accuracy29.350901769164047
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
accuracy0.0
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
accuracy0.00390625
(-.f64 (/.f64 x y) z)
accuracy7.055678101035964
(*.f64 (-.f64 (/.f64 x y) z) y)
accuracy29.350901769164047
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
accuracy0.0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
accuracy0.1171875
(/.f64 (cos.f64 y) z)
accuracy0.1484375
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
accuracy6.87814877711248
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
Samples
129.0ms256×0valid
Compiler

Compiled 625 to 106 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 22.0ms (29.3% of total)
ival-div: 20.0ms (26.6% of total)
ival-add: 6.0ms (8% of total)
ival-sin: 6.0ms (8% of total)
ival-cos: 6.0ms (8% of total)
ival-pow: 5.0ms (6.7% of total)
const: 4.0ms (5.3% of total)
ival-sub: 3.0ms (4% of total)
ival-neg: 3.0ms (4% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory
-15.7MiB live, 28.8MiB allocated
Counts
22 → 75
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(*.f64 (-.f64 (/.f64 x y) z) y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
(-.f64 (/.f64 x y) z)
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)))
#s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))
(/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(fma.f64 z z #s(literal 0 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
(/.f64 (*.f64 y y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y))
Outputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 z)
(- (/ x y) z)
(- x (* y z))
(* -1 (/ (* y z) x))
(/ (+ x (* -1 (* y z))) x)
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ x y)
(* x (+ (* -1 (/ z x)) (/ 1 y)))
1
(+ 1 (* -1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ z x) (/ 1 y))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (+ x (* -1 (* y z))) y)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(/ -1 (* y z))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (pow y 2) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(/ (cos y) z)
(* y (+ (* -1 z) (/ x y)))
(* y (- (/ x y) z))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(/ -1 (* z (sin y)))
(* -1/6 (/ y z))
(* -1 (* y (+ (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (/ z x) (/ 1 y))))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(+ (* -1 z) (/ x y))
(/ (- (* -1/6 (pow y 2)) 1) (* y z))
(/ -1 z)
(pow z 2)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 y) (/ x z)))
(* z (- (/ x (* y z)) 1))
(* z (- (/ x z) y))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x (* y z))))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (/ y x) (/ 1 z))))
(* -1 (/ (+ 1 (* 1/6 (pow y 2))) (* y z)))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
y
@-inf
((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (* (+ (* (neg y) (/ z x)) 1) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (neg y) (/ z x)) 1) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (/ (+ (* z z) 0) (pow (neg z) 3)) (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (/ (* y y) z) (* (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (sin y)))
6.0ms
z
@inf
((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (* (+ (* (neg y) (/ z x)) 1) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (neg y) (/ z x)) 1) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (/ (+ (* z z) 0) (pow (neg z) 3)) (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (/ (* y y) z) (* (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (sin y)))
5.0ms
z
@0
((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (* (+ (* (neg y) (/ z x)) 1) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (neg y) (/ z x)) 1) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (/ (+ (* z z) 0) (pow (neg z) 3)) (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (/ (* y y) z) (* (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (sin y)))
5.0ms
z
@-inf
((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (* (+ (* (neg y) (/ z x)) 1) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (neg y) (/ z x)) 1) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (/ (+ (* z z) 0) (pow (neg z) 3)) (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (/ (* y y) z) (* (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (sin y)))
4.0ms
y
@inf
((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (* (+ (* (neg y) (/ z x)) 1) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (neg y) (/ z x)) 1) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (* (neg z) (sin y)))) (/ 1 (* (neg z) (sin y))) (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (/ (+ (* z z) 0) (pow (neg z) 3)) (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (/ (* y y) z) (* (/ 1 (/ (+ (* z z) 0) (pow (neg z) 3))) (sin y)))

simplify158.0ms (2.1%)

Memory
25.1MiB live, 133.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218631
1684616
21917602
35351600
08959569
Stop Event
iter limit
node limit
Counts
75 → 74
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 z)
(- (/ x y) z)
(- x (* y z))
(* -1 (/ (* y z) x))
(/ (+ x (* -1 (* y z))) x)
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ x y)
(* x (+ (* -1 (/ z x)) (/ 1 y)))
1
(+ 1 (* -1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ z x) (/ 1 y))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (+ x (* -1 (* y z))) y)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(/ -1 (* y z))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (pow y 2) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(/ (cos y) z)
(* y (+ (* -1 z) (/ x y)))
(* y (- (/ x y) z))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(/ -1 (* z (sin y)))
(* -1/6 (/ y z))
(* -1 (* y (+ (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (/ z x) (/ 1 y))))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(+ (* -1 z) (/ x y))
(/ (- (* -1/6 (pow y 2)) 1) (* y z))
(/ -1 z)
(pow z 2)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 y) (/ x z)))
(* z (- (/ x (* y z)) 1))
(* z (- (/ x z) y))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x (* y z))))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (/ y x) (/ 1 z))))
(* -1 (/ (+ 1 (* 1/6 (pow y 2))) (* y z)))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 z)
(neg.f64 z)
(- (/ x y) z)
(-.f64 (/.f64 x y) z)
(- x (* y z))
(-.f64 x (*.f64 z y))
(* -1 (/ (* y z) x))
(*.f64 (/.f64 (neg.f64 y) x) z)
(/ (+ x (* -1 (* y z))) x)
(/.f64 (-.f64 x (*.f64 z y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/ (* x (cos y)) z)
(/.f64 (*.f64 (cos.f64 y) x) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(-.f64 x (*.f64 z y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z x)) (/ 1 y)))
(-.f64 (/.f64 x y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))
(* -1 (* x (- (/ (* y z) x) 1)))
(-.f64 x (*.f64 z y))
(* -1 (* x (- (/ z x) (/ 1 y))))
(-.f64 (/.f64 x y) z)
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(/ x z)
(/.f64 x z)
(+ (* -1 y) (/ x z))
(-.f64 (/.f64 x z) y)
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(fma.f64 (fma.f64 (*.f64 (/.f64 x z) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y (/.f64 x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal -1 binary64)) y (/.f64 x z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(fma.f64 (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) y (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(/ (+ x (* -1 (* y z))) y)
(-.f64 (/.f64 x y) z)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y)
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(*.f64 (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z))
(/ -1 (* y z))
(/.f64 (/.f64 #s(literal -1 binary64) z) y)
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -7/360 binary64) y) z) y (/.f64 #s(literal -1/6 binary64) z)) y (/.f64 (/.f64 #s(literal -1 binary64) z) y))
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -31/15120 binary64) y) z) y (/.f64 #s(literal -7/360 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) y (/.f64 (/.f64 #s(literal -1 binary64) z) y))
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* y (+ (* -1 z) (/ x y)))
(-.f64 x (*.f64 z y))
(* y (- (/ x y) z))
(-.f64 x (*.f64 z y))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(/ -1 (* z (sin y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)
(* -1/6 (/ y z))
(*.f64 (/.f64 #s(literal -1/6 binary64) z) y)
(* -1 (* y (+ (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))))
(/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z)
(* -1 (* y (+ z (* -1 (/ x y)))))
(-.f64 x (*.f64 z y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(-.f64 x (*.f64 z y))
(* -1 (* y (- (/ z x) (/ 1 y))))
(/.f64 (-.f64 x (*.f64 z y)) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))
(+ (* -1 z) (/ x y))
(-.f64 (/.f64 x y) z)
(/ (- (* -1/6 (pow y 2)) 1) (* y z))
(/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(pow z 2)
(*.f64 z z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (+ (* -1 y) (/ x z)))
(-.f64 x (*.f64 z y))
(* z (- (/ x (* y z)) 1))
(-.f64 (/.f64 x y) z)
(* z (- (/ x z) y))
(-.f64 x (*.f64 z y))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (+ y (* -1 (/ x z)))))
(-.f64 x (*.f64 z y))
(* -1 (* z (+ 1 (* -1 (/ x (* y z))))))
(-.f64 (/.f64 x y) z)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(-.f64 x (*.f64 z y))
(* -1 (* z (- (/ y x) (/ 1 z))))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* -1 (/ (+ 1 (* 1/6 (pow y 2))) (* y z)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z)

rewrite220.0ms (2.9%)

Memory
1.5MiB live, 247.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055312
085294
1318288
22306258
09585245
Stop Event
iter limit
node limit
iter limit
Counts
22 → 636
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(*.f64 (-.f64 (/.f64 x y) z) y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
(-.f64 (/.f64 x y) z)
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)))
#s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))
(/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(fma.f64 z z #s(literal 0 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
(/.f64 (*.f64 y y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y))
Outputs
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) z (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) z (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (/.f64 (sin.f64 y) (*.f64 z z)) (pow.f64 z #s(literal 3 binary64)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (/.f64 (sin.f64 y) (*.f64 z z)) (pow.f64 z #s(literal 3 binary64)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (*.f64 (sin.f64 y) (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 3 binary64)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (*.f64 (sin.f64 y) (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 3 binary64)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (sin.f64 y) (pow.f64 z #s(literal -3 binary64))) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (sin.f64 y) (pow.f64 z #s(literal -3 binary64))) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 z (/.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 z (/.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 z (*.f64 x (/.f64 (cos.f64 y) z)) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 z (sin.f64 y) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 z (sin.f64 y) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(fma.f64 (sin.f64 y) z (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
(+.f64 (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 5 binary64))))
(/.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 5 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 z z) #s(literal 7/2 binary64)))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64)))
(/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 (pow.f64 (*.f64 z z) #s(literal 7/2 binary64))))
(/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 z z) #s(literal 7/2 binary64)))
(/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) z)
(/.f64 z (*.f64 z z))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (pow.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (*.f64 (log.f64 z) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 z))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 z))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (neg.f64 (*.f64 (log.f64 z) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (*.f64 (neg.f64 (log.f64 z)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) z)
(*.f64 (pow.f64 (/.f64 z (pow.f64 z #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (pow.f64 z #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z z) #s(literal -1 binary64)) z)
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (/.f64 z z) z)
(*.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 z #s(literal 4 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 z z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 z (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 z (pow.f64 z #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (pow.f64 (/.f64 z z) #s(literal -1 binary64)))
(*.f64 z (/.f64 z z))
(*.f64 z #s(literal -1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(pow.f64 (exp.f64 (neg.f64 (log.f64 z))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 z #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) z)) z)
(/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) z) z)
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal -3 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal -3 binary64)))
(/.f64 (*.f64 z z) z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))
(/.f64 z #s(literal -1 binary64))
(/.f64 z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 z))))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64)))
(exp.f64 (log.f64 z))
(+.f64 #s(literal 0 binary64) z)
z
(*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z z))
(*.f64 z z)
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 z z)) #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 z #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z)) #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 z z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 z #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 z z))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z z))
(/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
(neg.f64 (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 z z) #s(literal 0 binary64))
(fma.f64 z z #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) #s(literal 0 binary64))
(-.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(-.f64 (*.f64 z z) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(+.f64 (*.f64 z z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 y z) y)
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(*.f64 y (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) z)
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) z)
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))) z)
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) z)
(/.f64 (*.f64 (neg.f64 y) y) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 y y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y y))))
(/.f64 (*.f64 y y) z)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(neg.f64 (/.f64 (*.f64 y y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) z)
(*.f64 (/.f64 (sin.f64 y) (*.f64 z z)) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (sin.f64 y) (pow.f64 z #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z #s(literal -3 binary64)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 z z)) (pow.f64 z #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)))
(/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (sin.f64 y) (pow.f64 z #s(literal -1 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1 binary64))))

eval89.0ms (1.2%)

Memory
-4.2MiB live, 224.5MiB allocated
Compiler

Compiled 22 165 to 3 205 computations (85.5% saved)

prune59.0ms (0.8%)

Memory
26.7MiB live, 185.4MiB allocated
Pruning

42 alts after pruning (36 fresh and 6 done)

PrunedKeptTotal
New65325678
Fresh71118
Picked415
Done055
Total66442706
Accuracy
100.0%
Counts
706 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
80.8%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
64.3%
(*.f64 (*.f64 #s(approx (pow (+ (* x (cos y)) (* z (sin y))) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
36.7%
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
11.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (/.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z #s(literal -3 binary64))))
37.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
34.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))))
40.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
41.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal 1 binary64) x))))
16.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
16.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z))))
3.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) y))))
3.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z))))))
3.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) #s(approx (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (*.f64 (/.f64 #s(literal -1/6 binary64) z) y)))))
54.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
89.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (neg.f64 (sin.f64 y))) z))
89.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z))
89.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
47.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal -1 binary64)) y (/.f64 x z))) z))
53.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
35.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
39.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
18.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 y x) z) (*.f64 z (/.f64 y x))) y)))
3.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 (/.f64 y x)) z) (*.f64 z (neg.f64 (/.f64 y x)))) y)))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 z (neg.f64 x))) (*.f64 z y)) y)))
15.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) y (*.f64 z x)) (*.f64 z y)) y)))
28.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y x))) y)))
25.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 1 binary64))) (/.f64 y z)) y)))
43.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
28.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
29.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
16.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y)))
16.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
14.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
41.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
64.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (*.f64 (cos.f64 y) x)))
Compiler

Compiled 3 147 to 1 191 computations (62.2% saved)

regimes107.0ms (1.4%)

Memory
-14.1MiB live, 197.1MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) #s(approx (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (*.f64 (/.f64 #s(literal -1/6 binary64) z) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) y (*.f64 z x)) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 z (neg.f64 x))) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 1 binary64))) (/.f64 y z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 y x) z) (*.f64 z (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 (/.f64 y x)) z) (*.f64 z (neg.f64 (/.f64 y x)))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x))
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (*.f64 (cos.f64 y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
#s(approx (+ (* (sin y) (neg z)) (* (cos y) x)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (/.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z #s(literal -3 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (neg.f64 (sin.f64 y))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z))
(fma.f64 (sin.f64 y) (neg.f64 z) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (*.f64 #s(approx (pow (+ (* x (cos y)) (* z (sin y))) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 z (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
Calls

4 calls:

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

Compiled 12 to 17 computations (-41.7% saved)

regimes71.0ms (0.9%)

Memory
8.9MiB live, 122.1MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) #s(approx (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (*.f64 (/.f64 #s(literal -1/6 binary64) z) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) y (*.f64 z x)) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 z (neg.f64 x))) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 1 binary64))) (/.f64 y z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 y x) z) (*.f64 z (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 (/.f64 y x)) z) (*.f64 z (neg.f64 (/.f64 y x)))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x))
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (*.f64 (cos.f64 y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

18.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
z
18.0ms
y
15.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes70.0ms (0.9%)

Memory
-0.2MiB live, 120.1MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) #s(approx (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (*.f64 (/.f64 #s(literal -1/6 binary64) z) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) y (*.f64 z x)) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 z (neg.f64 x))) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 1 binary64))) (/.f64 y z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 y x) z) (*.f64 z (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 (/.f64 y x)) z) (*.f64 z (neg.f64 (/.f64 y x)))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x))
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (*.f64 (cos.f64 y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
Outputs
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

17.0ms
y
17.0ms
z
15.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
x
Results
AccuracySegmentsBranch
87.1%3x
79.9%3y
86.2%3z
78.5%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes59.0ms (0.8%)

Memory
-20.6MiB live, 100.8MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) #s(approx (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (*.f64 (/.f64 #s(literal -1/6 binary64) z) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) y (*.f64 z x)) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 z (neg.f64 x))) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 1 binary64))) (/.f64 y z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 y x) z) (*.f64 z (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 (/.f64 y x)) z) (*.f64 z (neg.f64 (/.f64 y x)))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x))
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (*.f64 (cos.f64 y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

16.0ms
z
14.0ms
y
12.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
x
Results
AccuracySegmentsBranch
78.2%3y
64.1%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
76.1%3z
76.6%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes54.0ms (0.7%)

Memory
13.9MiB live, 90.9MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (* (neg z) (sin y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) #s(approx (/ (+ (* (/ (* y y) z) -1/6) (/ -1 z)) y) (*.f64 (/.f64 #s(literal -1/6 binary64) z) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) y (*.f64 z x)) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 z (neg.f64 x))) (*.f64 z y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 1 binary64))) (/.f64 y z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 y x) z) (*.f64 z (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (neg z) (sin y))) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (neg.f64 (/.f64 y x)) z) (*.f64 z (neg.f64 (/.f64 y x)))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

14.0ms
z
14.0ms
y
12.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
x
Results
AccuracySegmentsBranch
54.1%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.1%1z
54.1%1x
54.1%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
-27.6MiB live, 16.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
Calls

4 calls:

5.0ms
x
1.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
45.3%3z
46.3%3x
41.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
41.2%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
Calls

2 calls:

1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
41.2%1z
41.2%1x
Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch38.0ms (0.5%)

Memory
12.6MiB live, 91.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.4066601108861485e-43
1.330830461153373e-36
16.0ms
-2.1261865947610084e+67
-1.051269416076174e+66
Samples
25.0ms256×0valid
Compiler

Compiled 796 to 510 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (34.3% of total)
ival-sin: 6.0ms (34.3% of total)
ival-mult: 4.0ms (22.9% of total)
ival-sub: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch84.0ms (1.1%)

Memory
-20.6MiB live, 67.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
7.501329574009759e-7
25921.675721941636
48.0ms
-1637092930957.223
-1.1623202129978644e-7
Samples
68.0ms320×0valid
Compiler

Compiled 1 272 to 774 computations (39.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 34.0ms (57% of total)
ival-sin: 19.0ms (31.8% of total)
ival-cos: 5.0ms (8.4% of total)
ival-sub: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch85.0ms (1.1%)

Memory
4.3MiB live, 43.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
67.0ms
2.0031143262208847e-144
1.8269920948433245e-143
17.0ms
-1.8623794902693197e-228
-5.7122034606775284e-232
Samples
74.0ms224×0valid
Compiler

Compiled 684 to 518 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-cos: 59.0ms (86.5% of total)
ival-sin: 5.0ms (7.3% of total)
ival-mult: 3.0ms (4.4% of total)
ival-sub: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify82.0ms (1.1%)

Memory
14.4MiB live, 53.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073248
1144204
2304198
31215198
44857198
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -17000000000000000754129561965406728907708918979519253362953596960768 binary64)) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 8428725474762389/766247770432944429179173513575154591809369561091801088 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 607985949695017/4503599627370496 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -5872120230171315/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 1361975855769913/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -17000000000000000754129561965406728907708918979519253362953596960768 binary64)) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 8428725474762389/766247770432944429179173513575154591809369561091801088 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 x #s(literal -17000000000000000754129561965406728907708918979519253362953596960768 binary64)) (not (<=.f64 x #s(literal 8428725474762389/766247770432944429179173513575154591809369561091801088 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 607985949695017/4503599627370496 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (* (* (pow (+ (* x (cos y)) (* z (sin y))) -1) (neg (+ (* x (cos y)) (* z (sin y))))) (+ (* (neg x) (cos y)) (* z (sin y)))) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) (not (<=.f64 y #s(literal 607985949695017/4503599627370496 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -5872120230171315/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 1361975855769913/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -5872120230171315/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) (not (<=.f64 x #s(literal 1361975855769913/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* (neg y) (/ z x)) 1) #s(literal 1 binary64)) x)))

soundness1.2s (16.5%)

Memory
7.8MiB live, 678.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097255
1292250
2850244
32094238
43669238
56309238
08691217
04271730
114051648
248801608
081171513
07403454
124543287
083143133
0218631
1684616
21917602
35351600
08959569
0819
01319
13319
221019
3196619
0830719
028138
045121
1181121
21134120
08574118
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 370 to 190 computations (48.6% saved)

preprocess115.0ms (1.5%)

Memory
-12.4MiB live, 147.0MiB allocated
Compiler

Compiled 418 to 152 computations (63.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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