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

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.2s (15.2%)

Memory
28.3MiB live, 1 525.5MiB allocated
Samples
917.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 629.0ms
ival-sin: 210.0ms (33.4% of total)
ival-cos: 208.0ms (33.1% of total)
ival-mult: 114.0ms (18.1% of total)
ival-sub: 88.0ms (14% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain317.0ms (4.1%)

Memory
-31.0MiB live, 209.4MiB 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
72.0ms512×0valid
Compiler

Compiled 109 to 44 computations (59.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-cos: 34.0ms (62% of total)
ival-sin: 11.0ms (20.1% of total)
ival-mult: 7.0ms (12.8% of total)
ival-sub: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess94.0ms (1.2%)

Memory
5.1MiB live, 42.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
19084
216984
337584
466584
587284
6105284
7110584
8111384
9111784
089
0139
1209
2329
3449
4659
5959
61539
72239
82829
93119
103279
03279
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

simplify11.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB 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
722324
828224
931124
1032724
032724
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)

localize47.0ms (0.6%)

Memory
-9.2MiB live, 28.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.01953125
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.1015625
(*.f64 x (cos.f64 y))
accuracy0.1328125
(*.f64 z (sin.f64 y))
Samples
23.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (33.5% of total)
ival-sin: 5.0ms (33.5% of total)
ival-mult: 3.0ms (20.1% of total)
ival-sub: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB 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
@-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)))

simplify166.0ms (2.1%)

Memory
-14.8MiB live, 114.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097255
1292250
2840244
32074238
43607238
56263238
08477217
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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.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)))
(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))

rewrite272.0ms (3.5%)

Memory
34.0MiB live, 256.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13319
221019
3196419
0837919
Stop Event
iter limit
node limit
iter limit
Counts
4 → 231
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))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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))) (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)))) (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))) (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)))) (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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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #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))) (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)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (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)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(cos.f64 y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(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)))

eval53.0ms (0.7%)

Memory
-29.5MiB live, 61.0MiB allocated
Compiler

Compiled 12 098 to 741 computations (93.9% saved)

prune18.0ms (0.2%)

Memory
6.8MiB live, 45.0MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New23416250
Fresh000
Picked011
Done000
Total23417251
Accuracy
99.9%
Counts
251 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))))
85.4%
(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)))))
57.1%
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
57.0%
(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)))))
33.0%
(/.f64 (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)))
56.6%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
57.2%
(/.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
99.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
68.5%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
60.2%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
26.0%
(*.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))))
52.9%
#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))
52.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
37.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 815 to 472 computations (42.1% saved)

simplify119.0ms (1.5%)

Memory
10.8MiB live, 169.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(*.f64 (*.f64 (cos.f64 y) x) x)
cost-diff41920
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff40064
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
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
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038318
066272
1111272
2198272
3506272
41308272
53749272
67111272
08248272
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(literal -1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(literal -1 binary64)
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
(*.f64 (*.f64 (cos.f64 y) x) x)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
z
(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))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
#s(literal 2 binary64)
Outputs
(/.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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(literal -1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
x
(*.f64 z y)
(*.f64 y z)
z
y
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
y
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(literal -1 binary64)
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(-.f64 (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 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) x) x)
(*.f64 (*.f64 x (cos.f64 y)) x)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
x
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
z
(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))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 x (cos.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
#s(literal 2 binary64)

localize186.0ms (2.4%)

Memory
-12.0MiB live, 263.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.209316259768442
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy0.25294877930532605
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy11.056000903807412
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy20.181483524545346
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
accuracy0.25294877930532605
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy0.5859641508402614
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
accuracy1.5507750574906176
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
accuracy27.01537067487839
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy0.01953125
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.1015625
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.1328125
(*.f64 z (sin.f64 y))
accuracy27.489713228020282
#s(approx (cos y) #s(literal 1 binary64))
accuracy0
(*.f64 z y)
accuracy0.00390625
(-.f64 x (*.f64 z y))
accuracy29.466770985007134
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy0.04296875
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy0.1015625
(*.f64 (cos.f64 y) x)
accuracy0.140625
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy0.21484375
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Samples
93.0ms256×0valid
Compiler

Compiled 639 to 73 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 18.0ms (28.3% of total)
ival-pow: 12.0ms (18.9% of total)
ival-div: 6.0ms (9.4% of total)
ival-add: 6.0ms (9.4% of total)
ival-sin: 6.0ms (9.4% of total)
ival-cos: 5.0ms (7.9% of total)
ival-pow2: 4.0ms (6.3% of total)
ival-sub: 3.0ms (4.7% of total)
ival-neg: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series104.0ms (1.3%)

Memory
32.3MiB live, 186.5MiB allocated
Counts
24 → 194
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
(*.f64 (*.f64 (cos.f64 y) x) x)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
Outputs
(* -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 (- (* -1 (/ (* 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)))) (/ (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 (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(* 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) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y)))
(* (pow x 2) (cos y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(/ -1 (* (pow z 2) (pow (sin y) 2)))
(- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 2) (pow (sin y) 2))))
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 6) (pow (sin y) 6)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 6)) (* (pow z 8) (pow (sin y) 8)))) (/ (pow (cos y) 4) (* (pow z 6) (pow (sin y) 6))))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (sin y))) (cos y))) (* z (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* z (sin y)))))) (cos y))) (* z (sin y)))
(/ (cos y) (* z (sin y)))
(+ (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) (/ (cos y) (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))) (/ (cos y) (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 3)))))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))) (/ (cos y) (* z (sin y))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ (+ (* -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 (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x)))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ 1 x)
(/ (+ 1 (* -1 (/ (* z (sin y)) (* x (cos y))))) x)
(/ (- (+ 1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) (/ (* z (sin y)) (* x (cos y)))) x)
(/ (- (+ 1 (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) (/ (* z (sin y)) (* x (cos y))))) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* 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 (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(* -1 (/ (- (/ (* z (sin y)) (* x (cos y))) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 2))) (/ (* z (sin y)) (cos y))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 3))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2))) x)) (/ (* z (sin y)) (cos y))) x)) 1) x))
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* y 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 (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) 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)))))))
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 (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(pow x 2)
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2))
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(/ 1 (pow x 2))
(+ (* (pow y 2) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4)))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (+ (* (pow y 2) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (+ (* (pow y 2) (- (+ (* -1/3 (/ (pow z 2) (pow x 4))) (* (pow y 2) (- (+ (* 2/45 (/ 1 (pow x 2))) (* 2/45 (/ (pow z 2) (pow x 4)))) (+ (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2)))) (pow x 2)) (/ (* (- (* -1 (pow x 2)) (pow z 2)) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (pow x 2)))))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (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)))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/2 (/ 1 x))))) (/ 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))) (* 1/2 (/ 1 x))))) x))))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(* y (- (/ x y) z))
(cos y)
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(sin y)
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))))
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))))
(* (pow z 2) (pow (sin y) 2))
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))
(/ (cos y) (+ (* x (cos y)) (* z (sin y))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* -1 z)
(+ (* -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))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (cos y)))) (/ 1 x))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 2))) (/ (sin y) (* (pow x 2) (cos y))))) (/ 1 x))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 2)))))) (/ (sin y) (* (pow x 2) (cos y))))) (/ 1 x))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(/ (+ (* -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 (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))))
(/ (+ (* -1 (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) (/ (cos y) (sin y))) z)
(/ (- (+ (/ (cos y) (sin y)) (/ (* (pow x 2) (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 4)) (* (pow z 3) (pow (sin y) 4)))) (/ (cos y) (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2))))) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -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 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)))))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 3)) (* z (pow (sin y) 3))) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 4)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 3)) (pow (sin y) 3))) z)) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) z))
Calls

9 calls:

TimeVariablePointExpression
30.0ms
y
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (cos y) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
16.0ms
z
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (cos y) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
13.0ms
z
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (cos y) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
11.0ms
y
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (cos y) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
7.0ms
x
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (cos y) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))

simplify201.0ms (2.6%)

Memory
7.9MiB live, 194.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09835330
132715113
087064921
Stop Event
iter limit
node limit
Counts
194 → 192
Calls
Call 1
Inputs
(* -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 (- (* -1 (/ (* 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)))) (/ (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 (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(* 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) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y)))
(* (pow x 2) (cos y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(/ -1 (* (pow z 2) (pow (sin y) 2)))
(- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 2) (pow (sin y) 2))))
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 6) (pow (sin y) 6)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 6)) (* (pow z 8) (pow (sin y) 8)))) (/ (pow (cos y) 4) (* (pow z 6) (pow (sin y) 6))))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (sin y))) (cos y))) (* z (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* z (sin y)))))) (cos y))) (* z (sin y)))
(/ (cos y) (* z (sin y)))
(+ (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) (/ (cos y) (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))) (/ (cos y) (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 3)))))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))) (/ (cos y) (* z (sin y))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ (+ (* -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 (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x)))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ 1 x)
(/ (+ 1 (* -1 (/ (* z (sin y)) (* x (cos y))))) x)
(/ (- (+ 1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) (/ (* z (sin y)) (* x (cos y)))) x)
(/ (- (+ 1 (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) (/ (* z (sin y)) (* x (cos y))))) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* 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 (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
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(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
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(* z (- (/ (* x (cos y)) z) (sin y)))
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(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)))))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 3)) (* z (pow (sin y) 3))) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 4)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 3)) (pow (sin y) 3))) z)) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) 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))
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(* z (sin y))
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(-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) x (cos.f64 y)) x) (*.f64 (sin.f64 y) z))
(* (pow x 2) (cos y))
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(* -1 (* (pow z 2) (pow (sin y) 2)))
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(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (*.f64 z z))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))) z)
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (sin.f64 y) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (sin.f64 y) z) z))))) z)
(/ (+ (* -1 (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) (/ (cos y) (sin y))) z)
(/.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (sin.f64 y))) z)
(/ (- (+ (/ (cos y) (sin y)) (/ (* (pow x 2) (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) z)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z)) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (sin.f64 y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 4)) (* (pow z 3) (pow (sin y) 4)))) (/ (cos y) (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2))))) z)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (sin.f64 y))) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z))))) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) 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 (/ (- (* -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 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (-.f64 (/.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 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 (-.f64 (/.f64 x z) 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 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) #s(literal -1 binary64) (/.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 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z)) #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 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 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z)))))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y))) (*.f64 (cos.f64 y) x)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)))))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (neg.f64 (sin.f64 y)))) (neg.f64 z)) (*.f64 (cos.f64 y) x)) z)))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (neg.f64 (cos.f64 y)) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 3)) (* z (pow (sin y) 3))) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) z))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 (neg.f64 x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))) z)
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 4)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 3)) (pow (sin y) 3))) z)) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.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 4 binary64)) z) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 (cos.f64 y) (sin.f64 y))) (neg.f64 z))

rewrite396.0ms (5.1%)

Memory
-18.8MiB live, 559.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038235
066189
1260189
21729189
08791189
Stop Event
iter limit
node limit
iter limit
Counts
24 → 2 493
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
(*.f64 (*.f64 (cos.f64 y) x) x)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(pow.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal -1 binary64) (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(*.f64 (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (cos.f64 y))
(*.f64 (cos.f64 y) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(pow.f64 (/.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y))))
(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (cos.f64 y) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (cos.f64 y))) #s(literal -1 binary64)))

eval264.0ms (3.4%)

Memory
-11.7MiB live, 461.6MiB allocated
Compiler

Compiled 80 065 to 5 384 computations (93.3% saved)

prune48.0ms (0.6%)

Memory
35.2MiB live, 151.3MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1 577241 601
Fresh10111
Picked415
Done011
Total1 591271 618
Accuracy
100.0%
Counts
1 618 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
26.4%
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x))))
53.2%
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
19.4%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
34.1%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))))
53.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
63.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.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)))
63.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
68.5%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
39.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
52.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
52.9%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
52.8%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
92.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
87.0%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
37.3%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
47.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
40.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
17.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
47.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
Compiler

Compiled 1 262 to 894 computations (29.2% saved)

simplify205.0ms (2.6%)

Memory
-6.9MiB live, 106.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
cost-diff0
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
cost-diff6464
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff704
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046271
070267
1108257
2173257
3340257
4716246
51282246
62265246
73570246
84906246
95875246
106279246
116508246
126667246
136722246
147346246
157654246
167871246
08022243
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(neg.f64 z)
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#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 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
z
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(neg.f64 z)
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#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 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
#s(approx (* z (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
z
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
z
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1/2 binary64))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
#s(literal -1/2 binary64)
#s(literal 2 binary64)

localize162.0ms (2.1%)

Memory
-8.6MiB live, 202.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
accuracy0.06640625
(*.f64 x (cos.f64 y))
accuracy0.1171875
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy0.284198779305326
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy0
(sin.f64 y)
accuracy0
(neg.f64 z)
accuracy0.08203125
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy21.885084387932807
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.25464538573958573
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy2.7819445179084097
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
accuracy16.44010483735903
#s(approx (cos y) #s(literal 1 binary64))
accuracy17.61842365489083
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy17.384179184225687
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy17.70193929628504
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy0.0390625
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy0.06640625
(/.f64 (sin.f64 y) x)
accuracy3.142437691297963
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Samples
98.0ms137×0valid
37.0ms119×0invalid
Compiler

Compiled 491 to 85 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 32.0ms (38% of total)
ival-mult: 19.0ms (22.6% of total)
ival-pow: 7.0ms (8.3% of total)
ival-sin: 6.0ms (7.1% of total)
ival-cos: 5.0ms (5.9% of total)
ival-add: 4.0ms (4.7% of total)
const: 4.0ms (4.7% of total)
ival-pow2: 3.0ms (3.6% of total)
ival-sub: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
6.3MiB live, 49.6MiB allocated
Counts
22 → 116
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(neg.f64 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 z) y))
(*.f64 (neg.f64 z) y)
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(/.f64 (sin.f64 y) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
Outputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(* x (cos y))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* 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)))) (/ (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)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (sqrt -1)) (sqrt (* z (sin y))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* x (+ (* -1/2 (* (sqrt (* z (sin y))) (/ (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/2 (/ (* (cos y) (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (* (sin y) (pow (sqrt -1) 2))))) (/ (pow (cos y) 3) (* (pow z 4) (pow (sin y) 4))))) (sqrt -1)) (sqrt (* z (sin y))))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(/ (sin y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(sqrt (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2))))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow x 7))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* 1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (pow (cos y) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin 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 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow (cos y) 5))) (* (pow z 2) (pow (sin y) 2)))) (* 1/2 (* (sqrt (/ (cos y) x)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* -1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (* (pow (cos y) 3) (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(+ 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 (* -1/2 (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)))))))
(* 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))))))))
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))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y z))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt x) (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (+ (* 1/6 (/ z (pow x 2))) (* 1/2 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))) x)))))))) (* 1/2 (* (sqrt x) (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3))))))))))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ 1 (* -1/6 (pow y 2)))
(* y (- (/ x y) z))
(* z (sin y))
(sin y)
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(sqrt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 z)
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
y
@0
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (sin y) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (* x (cos y)))
4.0ms
y
@inf
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (sin y) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (* x (cos y)))
4.0ms
z
@inf
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (sin y) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (* x (cos y)))
4.0ms
z
@-inf
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (sin y) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (* x (cos y)))
4.0ms
z
@0
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (sin y) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (* x (cos y)))

simplify229.0ms (2.9%)

Memory
1.6MiB live, 157.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05962799
119432684
270242649
085732521
Stop Event
iter limit
node limit
Counts
116 → 113
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(* x (cos y))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* 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)))) (/ (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)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (sqrt -1)) (sqrt (* z (sin y))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* x (+ (* -1/2 (* (sqrt (* z (sin y))) (/ (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/2 (/ (* (cos y) (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (* (sin y) (pow (sqrt -1) 2))))) (/ (pow (cos y) 3) (* (pow z 4) (pow (sin y) 4))))) (sqrt -1)) (sqrt (* z (sin y))))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(/ (sin y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(sqrt (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2))))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow x 7))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* 1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (pow (cos y) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin 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 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow (cos y) 5))) (* (pow z 2) (pow (sin y) 2)))) (* 1/2 (* (sqrt (/ (cos y) x)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* -1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (* (pow (cos y) 3) (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(+ 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 (* -1/2 (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)))))))
(* 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))))))))
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))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y z))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt x) (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (+ (* 1/6 (/ z (pow x 2))) (* 1/2 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))) x)))))))) (* 1/2 (* (sqrt x) (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3))))))))))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ 1 (* -1/6 (pow y 2)))
(* y (- (/ x y) z))
(* z (sin y))
(sin y)
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(sqrt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 z)
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
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))
(* -1 (/ (* z (sin y)) x))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) 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 y z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(/ -1 (* z (sin y)))
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rewrite286.0ms (3.7%)

Memory
-12.8MiB live, 220.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046226
070212
1247208
21319208
08436208
Stop Event
iter limit
node limit
iter limit
Counts
22 → 562
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(neg.f64 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 z) y))
(*.f64 (neg.f64 z) y)
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(/.f64 (sin.f64 y) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 x (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) (*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))

eval257.0ms (3.3%)

Memory
-13.0MiB live, 117.3MiB allocated
Compiler

Compiled 24 354 to 2 611 computations (89.3% saved)

prune113.0ms (1.5%)

Memory
29.5MiB live, 68.4MiB allocated
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New63122653
Fresh91120
Picked325
Done022
Total64337680
Accuracy
100.0%
Counts
680 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x))))
53.2%
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
19.4%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
34.1%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))))
34.7%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
63.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.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)))
63.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
40.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) x)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.4%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
52.4%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
39.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
52.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
38.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) y)))
25.3%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)) y)))
52.8%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
92.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)))))
92.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
88.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
87.0%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
13.5%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y)))
37.3%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
92.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
30.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
64.0%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
40.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
17.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
10.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) y)))
40.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
10.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
17.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
47.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
Compiler

Compiled 1 910 to 1 359 computations (28.8% saved)

simplify216.0ms (2.8%)

Memory
-13.0MiB live, 141.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
cost-diff0
#s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
cost-diff0
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
cost-diff0
(*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)
cost-diff0
#s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
cost-diff1344
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
cost-diff0
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
cost-diff192
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y))
cost-diff704
(*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063443
097438
1171416
2324400
3750397
42675393
54523393
66995393
08054390
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
(*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x)
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cos.f64 y)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
#s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
z
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64))
#s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
#s(literal 2 binary64)
Outputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x)
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cos.f64 y)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y))
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)
(*.f64 y (neg.f64 z))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(neg.f64 z)
(neg.f64 (*.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #s(approx (* z (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)))
(*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
x
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
#s(approx (* z (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
z
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64))
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))) #s(literal 2 binary64))
#s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
#s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
x
#s(literal 2 binary64)

localize199.0ms (2.5%)

Memory
-11.5MiB live, 303.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
accuracy0.09375
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
accuracy0.23341752930532605
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64))
accuracy6.078432159002262
#s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
accuracy0.462034160717829
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
accuracy2.7819445179084097
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
accuracy14.254690526127856
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
accuracy14.288697857708966
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0
(neg.f64 (*.f64 z z))
accuracy12.90438406856437
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
accuracy13.981979059673323
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
accuracy17.70193929628504
#s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y))
accuracy0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
accuracy1.481718391404532
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
accuracy15.025819868971832
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
accuracy0
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
accuracy0.0390625
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y))
accuracy0.0625
(*.f64 (sin.f64 y) z)
accuracy1.481718391404532
(*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x)
Samples
105.0ms142×0invalid
49.0ms114×0valid
Compiler

Compiled 742 to 123 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 46.0ms (39.9% of total)
ival-pow: 19.0ms (16.5% of total)
ival-div: 11.0ms (9.5% of total)
ival-add: 9.0ms (7.8% of total)
const: 9.0ms (7.8% of total)
ival-sin: 6.0ms (5.2% of total)
ival-cos: 5.0ms (4.3% of total)
ival-pow2: 3.0ms (2.6% of total)
ival-sub: 2.0ms (1.7% of total)
ival-sqrt: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
14.2MiB live, 53.3MiB allocated
Counts
23 → 112
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x)
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
(*.f64 (sin.f64 y) z)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
#s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64))
#s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(neg.f64 (*.f64 z z))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
Outputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(* x (cos y))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* 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)))) (/ (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)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (sqrt -1)) (sqrt (* z (sin y))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* x (+ (* -1/2 (* (sqrt (* z (sin y))) (/ (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/2 (/ (* (cos y) (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (* (sin y) (pow (sqrt -1) 2))))) (/ (pow (cos y) 3) (* (pow z 4) (pow (sin y) 4))))) (sqrt -1)) (sqrt (* z (sin y))))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(sqrt (/ 1 (* x (cos y))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2))))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow x 7))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* 1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (pow (cos y) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin 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 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow (cos y) 5))) (* (pow z 2) (pow (sin y) 2)))) (* 1/2 (* (sqrt (/ (cos y) x)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* -1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (* (pow (cos y) 3) (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* 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 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y z))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt x) (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (+ (* 1/6 (/ z (pow x 2))) (* 1/2 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))) x)))))))) (* 1/2 (* (sqrt x) (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3))))))))))))
(+ (sqrt (/ 1 x)) (* 1/4 (* (sqrt (/ 1 x)) (pow y 2))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* 7/96 (* (sqrt (/ 1 x)) (pow y 2))) (* 1/4 (sqrt (/ 1 x))))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* 1/4 (sqrt (/ 1 x))) (* (pow y 2) (+ (* 139/5760 (* (sqrt (/ 1 x)) (pow y 2))) (* 7/96 (sqrt (/ 1 x))))))))
z
(+ z (* -1/6 (* (pow y 2) z)))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(* z (sin y))
(* y (- (/ x y) z))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(sqrt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 z)
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(* -1 (pow z 2))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@inf
((* (+ (* (* (sin y) z) (/ -1 x)) (cos y)) x) (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (sin y) z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg (* z z)) (/ 1 z)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (* (neg (* z z)) (/ 1 z)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (neg (* z z)) (* z (sin y)) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/720 (* y y)) 1/24))
4.0ms
y
@inf
((* (+ (* (* (sin y) z) (/ -1 x)) (cos y)) x) (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (sin y) z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg (* z z)) (/ 1 z)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (* (neg (* z z)) (/ 1 z)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (neg (* z z)) (* z (sin y)) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/720 (* y y)) 1/24))
3.0ms
y
@-inf
((* (+ (* (* (sin y) z) (/ -1 x)) (cos y)) x) (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (sin y) z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg (* z z)) (/ 1 z)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (* (neg (* z z)) (/ 1 z)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (neg (* z z)) (* z (sin y)) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/720 (* y y)) 1/24))
3.0ms
z
@-inf
((* (+ (* (* (sin y) z) (/ -1 x)) (cos y)) x) (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (sin y) z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg (* z z)) (/ 1 z)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (* (neg (* z z)) (/ 1 z)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (neg (* z z)) (* z (sin y)) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/720 (* y y)) 1/24))
2.0ms
z
@0
((* (+ (* (* (sin y) z) (/ -1 x)) (cos y)) x) (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (sin y) z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg (* z z)) (/ 1 z)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (* (neg (* z z)) (/ 1 z)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2)) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (neg (* z z)) (* z (sin y)) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/720 (* y y)) 1/24))

simplify198.0ms (2.5%)

Memory
5.6MiB live, 251.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05782764
118512656
267422633
083042516
Stop Event
iter limit
node limit
Counts
112 → 110
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(* x (cos y))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* 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)))) (/ (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)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (sqrt -1)) (sqrt (* z (sin y))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* x (+ (* -1/2 (* (sqrt (* z (sin y))) (/ (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/2 (/ (* (cos y) (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (* (sin y) (pow (sqrt -1) 2))))) (/ (pow (cos y) 3) (* (pow z 4) (pow (sin y) 4))))) (sqrt -1)) (sqrt (* z (sin y))))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(sqrt (/ 1 (* x (cos y))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2))))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow x 7))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* 1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (pow (cos y) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin 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 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow (cos y) 5))) (* (pow z 2) (pow (sin y) 2)))) (* 1/2 (* (sqrt (/ (cos y) x)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* -1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (* (pow (cos y) 3) (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* 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 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y z))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt x) (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (+ (* 1/6 (/ z (pow x 2))) (* 1/2 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))) x)))))))) (* 1/2 (* (sqrt x) (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3))))))))))))
(+ (sqrt (/ 1 x)) (* 1/4 (* (sqrt (/ 1 x)) (pow y 2))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* 7/96 (* (sqrt (/ 1 x)) (pow y 2))) (* 1/4 (sqrt (/ 1 x))))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* 1/4 (sqrt (/ 1 x))) (* (pow y 2) (+ (* 139/5760 (* (sqrt (/ 1 x)) (pow y 2))) (* 7/96 (sqrt (/ 1 x))))))))
z
(+ z (* -1/6 (* (pow y 2) z)))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(* z (sin y))
(* y (- (/ x y) z))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(sqrt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 z)
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(* -1 (pow z 2))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ x z) y))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
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))
(* -1 (/ (* z (sin y)) x))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) 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 (cos 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 (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))
(- (* x (- (* -1 (/ (* 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 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) 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)))) (/ (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 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #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 (neg.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)))
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (sqrt -1)) (sqrt (* z (sin y))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) x) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 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))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (cos.f64 y) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (sqrt -1)))) (* x (+ (* -1/2 (* (sqrt (* z (sin y))) (/ (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/2 (/ (* (cos y) (+ (* 1/4 (/ (pow (cos y) 2) (* (pow z 3) (* (pow (sin y) 3) (pow (sqrt -1) 2))))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (* (sin y) (pow (sqrt -1) 2))))) (/ (pow (cos y) 3) (* (pow z 4) (pow (sin y) 4))))) (sqrt -1)) (sqrt (* z (sin y))))))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 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))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 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))))) (/.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))))
(sqrt (/ 1 (* x (cos y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) 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 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (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 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2))))))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sin.f64 y)) z (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow x 7))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* 1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (pow (cos y) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (cos.f64 y) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sin.f64 y)) z (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))
(* -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 (/ (- (/ (* (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 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) 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)))) (/ (* (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 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
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(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 x (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z)
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cos.f64 y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))))
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))))
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (sin.f64 y) (pow.f64 z #s(literal 7 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cos.f64 y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) 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 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) 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 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) 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 (/ (- (* -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 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) 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))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 y) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (cos.f64 y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (cos.f64 y)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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)))))

rewrite174.0ms (2.2%)

Memory
14.9MiB live, 210.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063367
097348
1377326
22287318
08164318
Stop Event
iter limit
node limit
iter limit
Counts
23 → 406
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x)
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
(*.f64 (sin.f64 y) z)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
#s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64))
#s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(neg.f64 (*.f64 z z))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
Outputs
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x)
(*.f64 x (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x))
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))))
(fma.f64 (cos.f64 y) (/.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x))
(fma.f64 (cos.f64 y) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x))
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))))
(fma.f64 x (/.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x))
(fma.f64 x (/.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))))
(fma.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))))
(+.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64)))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 y (*.f64 #s(literal -1/720 binary64) y) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))

eval120.0ms (1.5%)

Memory
-18.9MiB live, 140.7MiB allocated
Compiler

Compiled 23 033 to 2 491 computations (89.2% saved)

prune114.0ms (1.5%)

Memory
-16.0MiB live, 109.1MiB allocated
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New4969505
Fresh62228
Picked235
Done044
Total50438542
Accuracy
100.0%
Counts
542 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x))))
53.2%
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
19.4%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
34.1%
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))))
34.6%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
63.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.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)))
63.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
40.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) x)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
37.8%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y)))
52.4%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
39.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
52.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
38.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) y)))
25.3%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)) y)))
52.8%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
92.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)))))
88.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x))
92.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
87.0%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
13.5%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y)))
37.3%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
92.6%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
30.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
64.0%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (cos.f64 y)) x))
40.7%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
17.2%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
10.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) z)))
6.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) y)))
40.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
10.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
17.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
47.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
Compiler

Compiled 2 981 to 1 114 computations (62.6% saved)

regimes157.0ms (2%)

Memory
2.0MiB live, 120.9MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#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))
#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))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.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)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (cos.f64 y) x)))) #s(literal 2 binary64)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) #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)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.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)))
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (sin.f64 y) #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))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x 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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
(/.f64 (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 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))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

63.0ms
x
42.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
28.0ms
y
20.0ms
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)

regimes63.0ms (0.8%)

Memory
27.7MiB live, 64.5MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#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))
#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))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.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)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
Outputs
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

25.0ms
z
12.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
86.3%3x
81.9%3y
88.5%3z
77.4%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
0.3MiB live, 37.5MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#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))
#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))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (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) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
Calls

3 calls:

38.0ms
z
10.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
81.5%4y
77.4%3x
77.4%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes59.0ms (0.8%)

Memory
-14.5MiB live, 22.8MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#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))
#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))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (* (sin y) z) (/ -1 x)) (cos y)) (cos.f64 y)) x))
Outputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
Calls

2 calls:

48.0ms
y
10.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
67.7%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
78.5%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes37.0ms (0.5%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#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))
#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))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) 2) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 #s(approx (* (+ (* -1/6 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y)))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

9.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
x
9.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
54.0%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.0%1z
54.0%1x
54.0%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes29.0ms (0.4%)

Memory
-36.5MiB live, 9.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

22.0ms
z
2.0ms
y
2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
Results
AccuracySegmentsBranch
54.0%1x
54.0%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.0%1y
54.0%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
46.1%3x
40.7%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
40.7%1y
43.7%2z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
40.7%1y
40.7%1z
40.7%1x
Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch63.0ms (0.8%)

Memory
7.1MiB live, 44.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
7.668799981158115e-123
1.8187133444353087e-99
19.0ms
-1.3937683747453794e-140
-1.7202926731306144e-149
Samples
47.0ms320×0valid
Compiler

Compiled 832 to 654 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 26.0ms (66.2% of total)
ival-cos: 7.0ms (17.8% of total)
ival-mult: 4.0ms (10.2% of total)
ival-sub: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch103.0ms (1.3%)

Memory
3.4MiB live, 78.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
6.1963904252611615e-22
8.127534341068225e-20
53.0ms
-2069971.5725616456
-0.8238265327399078
12.0ms
-2.005765916370994e+171
-7.798426083789536e+170
Samples
63.0ms336×0valid
Compiler

Compiled 1 174 to 816 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (34.6% of total)
ival-sin: 7.0ms (34.6% of total)
ival-mult: 4.0ms (19.8% of total)
ival-sub: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch80.0ms (1%)

Memory
-19.2MiB live, 27.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.1963904252611615e-22
8.127534341068225e-20
77.0ms
-3.3322208564699e-5
-1.5549423333075915e-21
Samples
10.0ms160×0valid
Compiler

Compiled 777 to 575 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (33.7% of total)
ival-mult: 2.0ms (33.7% of total)
ival-sub: 1.0ms (16.8% of total)
ival-sin: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
7.754571375162787e-222
1.7383816292233418e-219
0.0ms
-1.075547656941617e-192
-1.065906744145221e-192
Samples
9.0ms112×0valid
Compiler

Compiled 355 to 266 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 2.0ms (30.5% of total)
ival-sin: 2.0ms (30.5% of total)
ival-mult: 1.0ms (15.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify82.0ms (1%)

Memory
13.7MiB live, 51.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086421
1112421
2133421
3144421
4151421
5153421
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (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 -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -8116567392432203/295147905179352825856 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -2748215534500371/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1351311747538537/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (-.f64 (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -8116567392432203/295147905179352825856 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -2748215534500371/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1351311747538537/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))

soundness1.1s (14.2%)

Memory
-14.1MiB live, 620.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13319
221019
3196419
0837919
097255
1292250
2840244
32074238
43607238
56263238
08477217
038235
066189
1260189
21729189
08791189
05962799
119432684
270242649
085732521
09835330
132715113
087064921
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 744 to 333 computations (55.2% saved)

preprocess110.0ms (1.4%)

Memory
-7.2MiB live, 145.3MiB allocated
Compiler

Compiled 860 to 190 computations (77.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...