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

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.9s (22.7%)

Memory
26.9MiB live, 1 406.5MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 957.0ms
ival-sin: 326.0ms (34.1% of total)
ival-cos: 272.0ms (28.4% of total)
ival-mult: 211.0ms (22.1% of total)
ival-add: 136.0ms (14.2% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain366.0ms (4.5%)

Memory
12.3MiB live, 208.5MiB 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
166.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 123.0ms (82.4% of total)
ival-sin: 12.0ms (8% of total)
ival-cos: 11.0ms (7.4% of total)
ival-add: 2.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess139.0ms (1.7%)

Memory
-17.2MiB live, 21.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
214381
331181
447881
573481
691181
7100681
8110281
9117281
10119981
11120581
12120781
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB 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)

simplify3.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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-diff1
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

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

localize31.0ms (0.4%)

Memory
29.5MiB live, 29.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.0078125
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.09375
(*.f64 x (cos.f64 y))
accuracy0.125
(*.f64 z (sin.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (35.9% of total)
ival-sin: 6.0ms (35.9% of total)
ival-mult: 4.0ms (23.9% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-21.3MiB live, 14.7MiB allocated
Counts
4 → 23
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
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* 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)
(* 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) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
x
@0
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
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
y
@0
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify194.0ms (2.4%)

Memory
1.2MiB live, 157.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093240
1295236
2899230
32097224
43852224
56548224
08035195
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* 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)
(* 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) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(+ x (* -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 (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)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(cos y)
(cos.f64 y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

rewrite239.0ms (2.9%)

Memory
-6.8MiB live, 249.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
12919
218519
3185419
0822718
Stop Event
iter limit
node limit
iter limit
Counts
4 → 175
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 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #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 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (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 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (neg.f64 (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 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (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 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (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 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.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))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.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))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #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 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #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 6 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 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 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 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(*.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 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))

eval22.0ms (0.3%)

Memory
5.4MiB live, 43.4MiB allocated
Compiler

Compiled 7 548 to 557 computations (92.6% saved)

prune29.0ms (0.3%)

Memory
-11.8MiB live, 27.6MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New17815193
Fresh000
Picked101
Done000
Total17915194
Accuracy
99.9%
Counts
194 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
79.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
57.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
31.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (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 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
38.6%
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
61.9%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
79.3%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
38.1%
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
55.6%
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
57.4%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
46.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
46.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
48.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
43.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Compiler

Compiled 874 to 428 computations (51% saved)

simplify102.0ms (1.3%)

Memory
11.6MiB live, 133.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff1
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
cost-diff26
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff15
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
cost-diff0
(fma.f64 z y x)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030256
052212
190212
2176211
3538211
41639211
54443211
66268211
08043211
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(-.f64 (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 x x)
x
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
z
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.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(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 x x)
x
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))

localize111.0ms (1.4%)

Memory
-10.0MiB live, 185.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.20541000976844204
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy0.27572250976844204
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy15.075039922043539
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy18.661957473382056
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy0.154628759768442
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
accuracy0.20541000976844204
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy1.8476459291510292
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy27.134901453024895
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
accuracy0.0
(sin.f64 y)
accuracy0.125
(*.f64 (sin.f64 y) z)
accuracy36.05219669299735
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
accuracy0.0
(fma.f64 z y x)
accuracy32.716989541501945
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.0703125
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.09375
(*.f64 (cos.f64 y) x)
Samples
86.0ms256×0valid
Compiler

Compiled 257 to 31 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 13.0ms (23.8% of total)
ival-add: 8.0ms (14.6% of total)
ival-cos: 8.0ms (14.6% of total)
ival-sin: 7.0ms (12.8% of total)
ival-pow2: 7.0ms (12.8% of total)
ival-div: 5.0ms (9.1% of total)
ival-sub: 4.0ms (7.3% of total)
ival-neg: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (0.9%)

Memory
33.1MiB live, 113.8MiB allocated
Counts
17 → 141
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(- (* x (cos y)) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(* (pow x 2) (pow (cos y) 2))
(* -1 (/ (pow x 2) (* z (sin y))))
(* (pow x 2) (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))))
(* (pow x 2) (- (* 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)))))
(* (pow x 2) (- (* 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)))))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y))))
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* 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)))) (* -1 (/ (* z (sin y)) x))))
(* -1 (/ (* (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)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ x (cos y))
(* x (+ (/ 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)))))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (* x (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))))
(* -1 (* x (- (* -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)))))
(* -1 (* 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)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (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))) (* -1 (/ (* (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 (/ (- (* -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)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(+ 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 (* -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 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(* -1 (/ (* (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 (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/2 z) (+ (* 1/6 z) (/ (* z (+ (* -1 (/ (pow z 2) x)) (* -1/2 x))) x))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* 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))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(pow (cos y) 2)
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* (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 (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* 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) 2) (* x (cos y)))))
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(* (pow z 2) (+ (/ (* 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))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* 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))))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -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)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
Calls

9 calls:

TimeVariablePointExpression
37.0ms
y
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (pow (* (cos y) x) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
6.0ms
x
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (pow (* (cos y) x) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms
x
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (pow (* (cos y) x) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms
y
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (pow (* (cos y) x) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms
y
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (pow (* (cos y) x) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))

simplify195.0ms (2.4%)

Memory
-29.5MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07213690
125003499
084493324
Stop Event
iter limit
node limit
Counts
141 → 139
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(- (* x (cos y)) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(* (pow x 2) (pow (cos y) 2))
(* -1 (/ (pow x 2) (* z (sin y))))
(* (pow x 2) (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))))
(* (pow x 2) (- (* 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)))))
(* (pow x 2) (- (* 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)))))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y))))
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* 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)))) (* -1 (/ (* z (sin y)) x))))
(* -1 (/ (* (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)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ x (cos y))
(* x (+ (/ 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)))))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (* x (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))))
(* -1 (* x (- (* -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)))))
(* -1 (* 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)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (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))) (* -1 (/ (* (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 (/ (- (* -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)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(+ 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 (* -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 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(* -1 (/ (* (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 (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/2 z) (+ (* 1/6 z) (/ (* z (+ (* -1 (/ (pow z 2) x)) (* -1/2 x))) x))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* 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))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(pow (cos y) 2)
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* (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 (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* 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) 2) (* x (cos y)))))
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(* (pow z 2) (+ (/ (* 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))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* 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))))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -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)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(- (* x (cos y)) (* -1 (* z (sin y))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x (cos.f64 y)) x (*.f64 (sin.f64 y) z))
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y))))
(fma.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x (*.f64 (sin.f64 y) z))
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
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(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* -1 (/ (pow x 2) (* z (sin y))))
(/.f64 (*.f64 x x) (*.f64 (neg.f64 z) (sin.f64 y)))
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(* (pow x 2) (- (* 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)))))
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(* (pow x 2) (- (* 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)))))
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(* -1 (* z (sin y)))
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(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
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(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)))) x (neg.f64 (cos.f64 y))) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (/.f64 (*.f64 z y) x) x x)
(* -1 (* (pow x 2) (pow (cos y) 2)))
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(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* 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)))) (* -1 (/ (* z (sin y)) x))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)
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(/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
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(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
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(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
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(/ x (cos y))
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(* 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)))))))
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) x) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))))) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (cos.f64 y) x))
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 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)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 x x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
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(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) z))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))) (*.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (*.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* 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) 2) (* x (cos y)))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (*.f64 z z))
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2)))
(fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 x (cos.f64 y)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 x (cos.f64 y)))
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 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))))) (* -1 (sin y))))
(*.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 x z) (/.f64 x z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (/.f64 (*.f64 x x) (sin.f64 y)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))) z)
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (/.f64 (*.f64 x x) (sin.f64 y)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) z)
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (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)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (/.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y)))) z)
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 (*.f64 x x) (sin.f64 y))) (neg.f64 z))
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 x x) (sin.f64 y)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 x x) (sin.f64 y)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) z)
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))) z)
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(*.f64 (-.f64 (neg.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)) (pow.f64 z #s(literal 3 binary64))) (sin.f64 y))) (fma.f64 x (/.f64 (cos.f64 y) z) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) z)) (sin.f64 y)))) 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 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(*.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)) (sin y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) z)
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.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 2 binary64)) z)))) (neg.f64 z))) (neg.f64 z)) (sin.f64 y)) (neg.f64 z))
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 (*.f64 x x) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) z)
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.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 2 binary64)) z)))) z) (*.f64 (cos.f64 y) x)) z)) (neg.f64 z))

rewrite278.0ms (3.4%)

Memory
5.1MiB live, 279.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030185
052141
1209141
21528141
08271141
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 284
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
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(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval156.0ms (1.9%)

Memory
28.6MiB live, 220.9MiB allocated
Compiler

Compiled 45 703 to 3 275 computations (92.8% saved)

prune38.0ms (0.5%)

Memory
10.9MiB live, 98.9MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New96124985
Fresh8210
Picked235
Done000
Total971291 000
Accuracy
100.0%
Counts
1 000 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
78.7%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 x (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
79.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
52.0%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
79.3%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
51.8%
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
23.2%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
23.8%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
34.4%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
61.9%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
26.7%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
34.9%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
88.0%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
46.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
46.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
89.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
48.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
31.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
48.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
43.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
13.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
47.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
44.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
37.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
44.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
13.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
13.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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)))
13.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
Compiler

Compiled 1 558 to 964 computations (38.1% saved)

simplify140.0ms (1.7%)

Memory
-26.3MiB live, 203.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 x (cos.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
cost-diff3
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
cost-diff0
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
cost-diff0
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
cost-diff0
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
cost-diff2
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
cost-diff0
(/.f64 (*.f64 z y) x)
cost-diff0
#s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
cost-diff4
(fma.f64 (/.f64 (*.f64 z y) x) x x)
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff0
(/.f64 (sin.f64 y) x)
cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff2
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049333
079329
1134326
2258319
3718294
41926292
55736292
08256281
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))
(fma.f64 (/.f64 (*.f64 z y) x) x x)
(/.f64 (*.f64 z y) x)
(*.f64 z y)
z
y
x
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(fma.f64 z z (*.f64 x x))
z
(*.f64 x x)
x
(neg.f64 x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
y
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sin.f64 y)
y
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(literal 2 binary64)
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (fma.f64 z y x)))
#s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))
#s(approx (+ (* z y) x) (fma.f64 z y x))
(fma.f64 (/.f64 (*.f64 z y) x) x x)
(fma.f64 z y x)
(/.f64 (*.f64 z y) x)
(*.f64 z y)
z
y
x
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x z)) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x z)) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x z))
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (neg.f64 z) z (fma.f64 z z (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(fma.f64 z z (*.f64 x x))
z
(*.f64 x x)
x
(neg.f64 x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
y
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(sin.f64 y)
y
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
#s(literal 2 binary64)

localize232.0ms (2.8%)

Memory
1.5MiB live, 213.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
accuracy0.03125
(*.f64 x (cos.f64 y))
accuracy0.03515625
(sqrt.f64 (*.f64 x (cos.f64 y)))
accuracy0.2734375
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
accuracy3.1850530345874257
(/.f64 (*.f64 z z) x)
accuracy7.400569866392006
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
accuracy15.830686609151103
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
accuracy16.82963907826781
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
accuracy0.0
#s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))
accuracy2.9451810150986426
(/.f64 (*.f64 z y) x)
accuracy3.522452023504171
(fma.f64 (/.f64 (*.f64 z y) x) x x)
accuracy16.025785003632034
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
accuracy0.0
(*.f64 z y)
accuracy16.025785003632034
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy18.498156097194993
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy0.0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy0.046875
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy0.08984375
(/.f64 (sin.f64 y) x)
accuracy2.1547392112714827
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Samples
88.0ms67×0valid
57.0ms61×1valid
41.0ms122×0invalid
3.0ms2valid
1.0ms1exit
Compiler

Compiled 272 to 45 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-mult: 34.0ms (34.9% of total)
ival-add: 12.0ms (12.3% of total)
ival-div: 11.0ms (11.3% of total)
ival-pow2: 9.0ms (9.2% of total)
ival-sin: 9.0ms (9.2% of total)
ival-cos: 7.0ms (7.2% of total)
adjust: 6.0ms (6.2% of total)
ival-sub: 5.0ms (5.1% of total)
ival-sqrt: 2.0ms (2.1% of total)
ival-neg: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
19.3MiB live, 91.6MiB allocated
Counts
22 → 102
Calls
Call 1
Inputs
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/.f64 (sin.f64 y) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
(fma.f64 (/.f64 (*.f64 z y) x) x x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))
(/.f64 (*.f64 z y) x)
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sin.f64 y)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 z z) x)
(*.f64 x (cos.f64 y))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (sin y) x)
(* y z)
(+ x (* y z))
(/ (* y z) x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(* x (cos y))
(sqrt (* x (cos y)))
(* -1 (/ (pow z 2) x))
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x)
(/ (pow z 2) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(* -1/2 x)
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (/ z x)))
(* x (+ (* -1/2 y) (+ (/ z x) (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2)))))
(* -1 x)
(* x (- (* -1 (/ (pow z 2) (pow x 2))) 1))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1 (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 y))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (/ (pow z 2) (pow x 2)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(/ 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)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))))
z
(+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
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))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(sin y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x)))
(* -1 (* y (+ (* -1 (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) (* -1 (/ z y)))))
(- (* -1 x) (* -1/2 x))
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(* y (- (* -1 x) (* -1/2 x)))
(+ z (* y (- (* -1 x) (* -1/2 x))))
(+ (* -1 x) (* -1 (/ (pow z 2) x)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (/ x z)))
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z)))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@0
((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (/ (* z y) x) x) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ (* z y) x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sin y) (sqrt (* x (cos y))) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x) (* x (cos y)))
9.0ms
x
@inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (/ (* z y) x) x) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ (* z y) x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sin y) (sqrt (* x (cos y))) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x) (* x (cos y)))
6.0ms
y
@-inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (/ (* z y) x) x) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ (* z y) x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sin y) (sqrt (* x (cos y))) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x) (* x (cos y)))
6.0ms
x
@-inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (/ (* z y) x) x) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ (* z y) x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sin y) (sqrt (* x (cos y))) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x) (* x (cos y)))
6.0ms
y
@inf
((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (/ (* z y) x) x) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ (* z y) x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sin y) (sqrt (* x (cos y))) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x) (* x (cos y)))

simplify151.0ms (1.8%)

Memory
13.0MiB live, 170.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621305
111801226
239331183
082441072
Stop Event
iter limit
node limit
Counts
102 → 99
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (sin y) x)
(* y z)
(+ x (* y z))
(/ (* y z) x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(* x (cos y))
(sqrt (* x (cos y)))
(* -1 (/ (pow z 2) x))
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x)
(/ (pow z 2) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(* -1/2 x)
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (/ z x)))
(* x (+ (* -1/2 y) (+ (/ z x) (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2)))))
(* -1 x)
(* x (- (* -1 (/ (pow z 2) (pow x 2))) 1))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1 (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 y))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (/ (pow z 2) (pow x 2)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(/ 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)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))))
z
(+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
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))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(sin y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x)))
(* -1 (* y (+ (* -1 (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) (* -1 (/ z y)))))
(- (* -1 x) (* -1/2 x))
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(* y (- (* -1 x) (* -1/2 x)))
(+ z (* y (- (* -1 x) (* -1/2 x))))
(+ (* -1 x) (* -1 (/ (pow z 2) x)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (/ x z)))
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z)))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1)))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* y z)
(*.f64 y z)
(+ x (* y z))
(fma.f64 y z x)
(/ (* y z) x)
(/.f64 (*.f64 y z) x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
#s(literal 0 binary64)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
#s(literal 0 binary64)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 (*.f64 y z) x #s(literal 0 binary64)) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x)
#s(literal 0 binary64)
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 x z #s(literal 0 binary64)) x)
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(sqrt (* x (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(* -1 (/ (pow z 2) x))
(/.f64 (*.f64 (neg.f64 z) z) x)
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x)
(/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 x))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (/.f64 (*.f64 y z) x) x x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(*.f64 #s(literal -1/2 binary64) x)
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64)) x)
(* -1/2 (* x y))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(* x (+ (* -1/2 y) (/ z x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)
(* x (+ (* -1/2 y) (+ (/ z x) (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (/ (pow z 2) (pow x 2))) 1))
(*.f64 (fma.f64 (/.f64 z (neg.f64 x)) (/.f64 z x) #s(literal -1 binary64)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (neg.f64 x))
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)
(* -1 (* x (+ (* -1 (/ (+ z (* -1 (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(* -1 (* x (+ 1 (/ (pow z 2) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 z (neg.f64 x)) (/.f64 z x) #s(literal -1 binary64)) x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
1
#s(literal 1 binary64)
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 z x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y z) x) #s(literal -1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) x) y) y (/.f64 #s(literal -1/6 binary64) x)) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) x) y) y (/.f64 #s(literal -1/6 binary64) x))) (/.f64 y x))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 x)))) y z) y x)
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) z (*.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) x) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x))) (/.f64 z x))) y (/.f64 (fma.f64 x x (*.f64 z z)) x))) y z) y x)
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 x)))) y z) y x)
z
(+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 x)))) y z)
(+ 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))))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) y) y (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/48 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) x (*.f64 (fma.f64 #s(literal -1/720 binary64) x (*.f64 (neg.f64 x) #s(literal 1/192 binary64))) (*.f64 y y)))) (*.f64 y y) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x))
(* y (+ z (/ x y)))
(*.f64 (+.f64 (/.f64 x y) z) y)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (neg.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) z)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 x)))) y) y)
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) (*.f64 y y))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 (/.f64 x y) y) (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x)))) (*.f64 y y))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 x)))) y)
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)
(sin y)
(sin.f64 y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (-.f64 (/.f64 (+.f64 (/.f64 x y) z) y) (/.f64 (fma.f64 x x (*.f64 z z)) x)))) (*.f64 y y))
(* -1 (* y (+ (* -1 (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 x))))) y)
(- (* -1 x) (* -1/2 x))
(*.f64 #s(literal -1/2 binary64) x)
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)
(* y (- (* -1 x) (* -1/2 x)))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(+ z (* y (- (* -1 x) (* -1/2 x))))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z)
(+ (* -1 x) (* -1 (/ (pow z 2) x)))
(neg.f64 (fma.f64 z (/.f64 z x) x))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) y) z) #s(literal -1/2 binary64) (+.f64 (/.f64 x z) y)) z)
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z)))
(fma.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) z z)
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 x z) z)) (*.f64 z z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) y) z)
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 z))

rewrite445.0ms (5.5%)

Memory
-15.0MiB live, 262.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049282
079264
1347258
22619255
09656244
Stop Event
iter limit
node limit
iter limit
Counts
22 → 569
Calls
Call 1
Inputs
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/.f64 (sin.f64 y) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
(fma.f64 (/.f64 (*.f64 z y) x) x x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))
(/.f64 (*.f64 z y) x)
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sin.f64 y)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 z z) x)
(*.f64 x (cos.f64 y))
Outputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(*.f64 x (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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))
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(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
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(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)))
(*.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))
(*.f64 (fma.f64 z z (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 z x) (-.f64 z x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z (*.f64 x x)))) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (neg.f64 x) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(neg.f64 (/.f64 (fma.f64 z z (*.f64 x x)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 z x) z)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) x))
(*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 z (/.f64 z x))
(pow.f64 (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) x)
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x)
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(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) x)
(neg.f64 (*.f64 (neg.f64 z) (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)))
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(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 (cos.f64 y) x))))
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(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 y) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))

eval178.0ms (2.2%)

Memory
-25.5MiB live, 114.3MiB allocated
Compiler

Compiled 33 539 to 2 919 computations (91.3% saved)

prune50.0ms (0.6%)

Memory
17.1MiB live, 56.9MiB allocated
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New61417631
Fresh71421
Picked145
Done033
Total62238660
Accuracy
100.0%
Counts
660 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
78.7%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 x (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
79.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
52.0%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
79.3%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
51.8%
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
23.2%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
34.4%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
46.8%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
23.4%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)) y x))
42.7%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) y x))
35.9%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
10.8%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 y z) x #s(literal 0 binary64)) x)))
35.9%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
2.4%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) (*.f64 y y))))
3.0%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
34.9%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
88.0%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
46.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
75.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
87.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
89.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
89.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) (cos.f64 y)) x))
89.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
76.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
58.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
38.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
48.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
48.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
43.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
13.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
47.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
43.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
26.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))))
44.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
13.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
13.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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)))
Compiler

Compiled 2 528 to 1 474 computations (41.7% saved)

simplify216.0ms (2.7%)

Memory
-12.1MiB live, 106.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))
cost-diff0
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
cost-diff2
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))
cost-diff5
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x)))
cost-diff0
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x)
cost-diff0
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
cost-diff3
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
cost-diff11
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
cost-diff0
(*.f64 x z)
cost-diff0
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
cost-diff4
(fma.f64 (*.f64 x z) (/.f64 y x) x)
cost-diff0
#s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))
cost-diff0
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
cost-diff0
(fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y))
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
cost-diff2
(*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x)
cost-diff3
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082559
0123555
1230502
2536473
31681417
45788402
08252381
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
(*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x)
(fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y))
z
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cos.f64 y)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x))
(fma.f64 (*.f64 x z) (/.f64 y x) x)
(*.f64 x z)
x
z
(/.f64 y x)
y
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z)
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
(neg.f64 x)
x
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
y
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y)
(*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x)))
#s(literal -1/3 binary64)
(fma.f64 z z (*.f64 x x))
z
(*.f64 x x)
x
y
(*.f64 y y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
z
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (sin.f64 y) x)
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cos.f64 y)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (fma.f64 z y x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x))
#s(approx (+ (* z y) x) (fma.f64 z y x))
(fma.f64 (*.f64 x z) (/.f64 y x) x)
(fma.f64 z y x)
(*.f64 x z)
x
z
(/.f64 y x)
y
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)
(fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
(*.f64 #s(literal -1/2 binary64) x)
(neg.f64 x)
x
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(*.f64 #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
y
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) y) (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) y) (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (neg.f64 x) x)))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) y) (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) y #s(literal 1 binary64)) (fma.f64 x x (*.f64 z z)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y)
(*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64)) y)
(*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x)))
(*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 z z (*.f64 x x))
(fma.f64 x x (*.f64 z z))
z
(*.f64 x x)
x
y
(*.f64 y y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)

localize343.0ms (4.2%)

Memory
32.3MiB live, 420.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy9.96409324168483
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))
accuracy14.027261183208248
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x)))
accuracy22.53130377505914
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
accuracy22.774700437247713
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))
accuracy0.03125
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x)
accuracy7.104813029917275
(/.f64 (*.f64 z z) x)
accuracy27.267763681563995
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
accuracy29.289413303672223
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
accuracy0.0
(*.f64 x z)
accuracy0.0
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x))
accuracy12.533280105824765
(fma.f64 (*.f64 x z) (/.f64 y x) x)
accuracy27.959939847663993
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
accuracy29.289413303672223
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
accuracy57.22261276629573
#s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))
accuracy0.0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
accuracy0.06640625
(fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y))
accuracy0.23503876953688402
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
accuracy2.498075660778844
(*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x)
Samples
133.0ms112×1valid
99.0ms123×0valid
42.0ms21×1exit
Compiler

Compiled 435 to 71 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-mult: 116.0ms (48.2% of total)
ival-add: 24.0ms (10% of total)
ival-pow2: 24.0ms (10% of total)
ival-div: 21.0ms (8.7% of total)
adjust: 18.0ms (7.5% of total)
ival-sin: 11.0ms (4.6% of total)
ival-sub: 9.0ms (3.7% of total)
ival-cos: 8.0ms (3.3% of total)
const: 5.0ms (2.1% of total)
ival-neg: 5.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
-32.9MiB live, 56.2MiB allocated
Counts
19 → 115
Calls
Call 1
Inputs
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
(fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x z) (/.f64 y x) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x))
(*.f64 x z)
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x)))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 z z) x)
Outputs
(/ (sin y) x)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(* y z)
(+ x (* y z))
(* x z)
(* -1/2 x)
(- (* x (cos y)) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))
(+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* -1/3 (* (pow y 2) (pow z 2))) (+ (* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) (pow z 2)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(+ (* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(/ (pow z 2) x)
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
x
(* x (+ 1 (/ (* y z) 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)))) (* -1 (/ (* z (sin y)) x))))
(* (pow x 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow x 2) (+ 1 (+ (* -1/3 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1/3 (pow y 2)) (/ (pow z 2) (pow x 2))))))
(* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1))
(* (pow x 2) (- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (pow x 2))) 1))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(/ 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)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (+ z (* -1 (* y (+ x (* -1/2 x)))))))
(+ (pow x 2) (pow z 2))
(+ (* -1/3 (* (pow y 2) (+ (pow x 2) (pow z 2)))) (+ (pow x 2) (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (pow x 2) (pow z 2))))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (+ (pow x 2) (pow z 2)))) (+ (pow x 2) (pow z 2)))))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x)))
(* y (+ z (/ x y)))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (* (pow y 2) (+ x (* -1/2 x))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (/ z y)))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (+ (/ x (pow y 2)) (/ z y))))
(* -1/3 (* (pow y 2) (+ (pow x 2) (pow z 2))))
(* (pow y 2) (+ (* -1/3 (+ (pow x 2) (pow z 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* -1/3 (* (pow y 4) (+ (pow x 2) (pow z 2))))
(* (pow y 4) (+ (* -1/3 (+ (pow x 2) (pow z 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 4) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1/3 (+ (pow x 2) (pow z 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y))))
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(* -1 (+ x (* -1/2 x)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ x (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ x (+ (* -1 (* (pow y 2) (+ x (* -1/2 x)))) (* y z)))
(+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* -1/3 (* (pow x 2) (pow y 2))) (+ (* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2)))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))))
(+ (* -1 (pow x 2)) (+ (* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(* z (+ y (/ x z)))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* 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))))) (* -1 (sin y))))
(* z (+ y (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(* (pow z 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow z 2) (+ 1 (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -1/3 (pow y 2)) (/ (pow x 2) (pow z 2))))))
(* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2)))))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) (pow z 2)))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -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)) (sin y))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
y
@inf
((* (neg (sin y)) (/ -1 x)) (* (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (* x z) (/ y x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x z) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (+ (* (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (* z z) x))
5.0ms
z
@inf
((* (neg (sin y)) (/ -1 x)) (* (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (* x z) (/ y x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x z) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (+ (* (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (* z z) x))
5.0ms
z
@-inf
((* (neg (sin y)) (/ -1 x)) (* (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (* x z) (/ y x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x z) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (+ (* (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (* z z) x))
5.0ms
y
@-inf
((* (neg (sin y)) (/ -1 x)) (* (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (* x z) (/ y x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x z) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (+ (* (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (* z z) x))
5.0ms
x
@-inf
((* (neg (sin y)) (/ -1 x)) (* (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) x) (+ (* (sin y) z) (* (cos y) x)) (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (* x z) (/ y x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x z) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (+ (* (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (* z z) x))

simplify161.0ms (2%)

Memory
31.7MiB live, 219.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04431946
115001809
252301683
082261529
Stop Event
iter limit
node limit
Counts
115 → 114
Calls
Call 1
Inputs
(/ (sin y) x)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(* y z)
(+ x (* y z))
(* x z)
(* -1/2 x)
(- (* x (cos y)) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))
(+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* -1/3 (* (pow y 2) (pow z 2))) (+ (* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) (pow z 2)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(+ (* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(/ (pow z 2) x)
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
x
(* x (+ 1 (/ (* y z) 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)))) (* -1 (/ (* z (sin y)) x))))
(* (pow x 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow x 2) (+ 1 (+ (* -1/3 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1/3 (pow y 2)) (/ (pow z 2) (pow x 2))))))
(* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1))
(* (pow x 2) (- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (pow x 2))) 1))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(/ 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)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (+ z (* -1 (* y (+ x (* -1/2 x)))))))
(+ (pow x 2) (pow z 2))
(+ (* -1/3 (* (pow y 2) (+ (pow x 2) (pow z 2)))) (+ (pow x 2) (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (pow x 2) (pow z 2))))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (+ (pow x 2) (pow z 2)))) (+ (pow x 2) (pow z 2)))))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x)))
(* y (+ z (/ x y)))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (* (pow y 2) (+ x (* -1/2 x))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (/ z y)))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (+ (/ x (pow y 2)) (/ z y))))
(* -1/3 (* (pow y 2) (+ (pow x 2) (pow z 2))))
(* (pow y 2) (+ (* -1/3 (+ (pow x 2) (pow z 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* -1/3 (* (pow y 4) (+ (pow x 2) (pow z 2))))
(* (pow y 4) (+ (* -1/3 (+ (pow x 2) (pow z 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 4) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1/3 (+ (pow x 2) (pow z 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y))))
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(* -1 (+ x (* -1/2 x)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ x (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ x (+ (* -1 (* (pow y 2) (+ x (* -1/2 x)))) (* y z)))
(+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* -1/3 (* (pow x 2) (pow y 2))) (+ (* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2)))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))))
(+ (* -1 (pow x 2)) (+ (* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(* z (+ y (/ x z)))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* 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))))) (* -1 (sin y))))
(* z (+ y (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(* (pow z 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow z 2) (+ 1 (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -1/3 (pow y 2)) (/ (pow x 2) (pow z 2))))))
(* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2)))))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) (pow z 2)))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -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)) (sin y))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
Outputs
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(/ (* z (sin y)) x)
(*.f64 (/.f64 (sin.f64 y) x) z)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
#s(literal 0 binary64)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* x z)
(*.f64 z x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(- (* x (cos y)) (* -1 (* z (sin y))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)
(+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) z) z)
(+ (* -1/3 (* (pow y 2) (pow z 2))) (+ (* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) (pow z 2)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 z z (*.f64 x x)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z))
(+ (* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 x x)))
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64)) x)
x
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rewrite353.0ms (4.3%)

Memory
-135.6MiB live, 320.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082440
0123423
1526357
24594357
08923341
Stop Event
iter limit
node limit
iter limit
Counts
19 → 292
Calls
Call 1
Inputs
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
(fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x z) (/.f64 y x) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x))
(*.f64 x z)
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x)))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 z z) x)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (sin.f64 y) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(pow.f64 (/.f64 x (neg.f64 (neg.f64 (sin.f64 y)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (neg.f64 (sin.f64 y)))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) x))
(*.f64 (fma.f64 z (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (cos.f64 y)) x)
(*.f64 x (fma.f64 z (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))))
(fma.f64 (exp.f64 (log.f64 x)) (cos.f64 y) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (exp.f64 (log.f64 x)) (cos.f64 y) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 x)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))
(fma.f64 (cos.f64 y) x (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (cos.f64 y) x (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))
(fma.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (cos.f64 y)) x))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y)) (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y)) (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x))))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))
(fma.f64 (*.f64 z (/.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (/.f64 #s(literal -1 binary64) x) (cos.f64 y))
(fma.f64 z (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (cos.f64 y))
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) z (cos.f64 y))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y))
(fma.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) x) z) (cos.f64 y))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y))))
(+.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) (cos.f64 y))
(+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 (/.f64 y x) x) z (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) x) z)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y x) x) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) x) z)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (/.f64 y x) x) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) x) z (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) x) z)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (/.f64 y x) x) z (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (*.f64 (*.f64 z x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) x) z)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) x) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) x) z)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (/.f64 y x) x) z x)
(fma.f64 (*.f64 (*.f64 z y) x) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (/.f64 y x) z) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (/.f64 y x) x) z))
(fma.f64 (/.f64 y x) (*.f64 z x) x)
(fma.f64 (*.f64 z x) (/.f64 y x) x)
(fma.f64 z (*.f64 x (/.f64 y x)) x)
(fma.f64 x (*.f64 (/.f64 y x) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 y x) x) z))
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z x)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) x) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 y x) x) z (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 y x) x) z (neg.f64 x))))
(+.f64 (*.f64 (*.f64 (/.f64 y x) x) z) x)
(+.f64 x (*.f64 (*.f64 (/.f64 y x) x) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (fma.f64 (/.f64 y x) (*.f64 z x) x)))
#s(approx (+ (* z y) x) (fma.f64 (/.f64 y x) (*.f64 z x) x))
(*.f64 z x)
(*.f64 x z)
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 z x) z (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x))) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1/3 binary64)) y) y (fma.f64 z z (*.f64 x x))) y) y (*.f64 (neg.f64 x) x))))) #s(literal -1 binary64)))
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1/3 binary64)) y) y (fma.f64 z z (*.f64 x x))) y) y (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 z x) z)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) x))
(*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 z (/.f64 z x))
(pow.f64 (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 z z)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) x)
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z z))))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z z))) #s(literal -1 binary64)))

eval174.0ms (2.1%)

Memory
-15.4MiB live, 105.0MiB allocated
Compiler

Compiled 22 733 to 1 962 computations (91.4% saved)

prune41.0ms (0.5%)

Memory
11.6MiB live, 89.6MiB allocated
Pruning

40 alts after pruning (30 fresh and 10 done)

PrunedKeptTotal
New3899398
Fresh52126
Picked145
Done167
Total39640436
Accuracy
100.0%
Counts
436 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
78.7%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 x (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
79.8%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
52.0%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
79.3%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
51.8%
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
25.4%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 #s(approx (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) z) z)) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
34.4%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
46.8%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
23.4%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)) y x))
10.8%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
35.9%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
2.4%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
1.8%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 z z (*.f64 x x)) x)) (*.f64 y y))))
3.0%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
42.6%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/3 binary64) z)) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
34.9%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
88.0%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
10.1%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)))
3.1%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) y)))
46.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
75.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
87.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
89.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) (cos.f64 y)) x))
89.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
76.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
58.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
38.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
33.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
48.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
48.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
43.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
13.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
47.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
43.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
26.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))))
44.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
13.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
13.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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)))
Compiler

Compiled 3 974 to 1 249 computations (68.6% saved)

regimes117.0ms (1.4%)

Memory
-22.1MiB live, 133.5MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 y z) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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 (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/3 binary64) z)) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 z z (*.f64 x x)) x)) (*.f64 y y))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 #s(approx (+ (* (* (* -1/3 (+ (* z z) (* x x))) y) y) (+ (* z z) (* x x))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) z) z)) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 z z (*.f64 x x))) y) y (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) (cos.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 x (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(approx (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (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 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (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 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Calls

4 calls:

46.0ms
z
29.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
x
16.0ms
y
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)

regimes51.0ms (0.6%)

Memory
19.4MiB live, 101.6MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 y z) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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 (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/3 binary64) z)) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 z z (*.f64 x x)) x)) (*.f64 y y))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (* (neg (sin y)) (/ -1 x))) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
Calls

4 calls:

14.0ms
y
13.0ms
z
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
x
Results
AccuracySegmentsBranch
89.2%3x
81.2%2y
89.1%3z
79.3%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes85.0ms (1%)

Memory
-3.3MiB live, 74.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 y z) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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 (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/3 binary64) z)) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 z z (*.f64 x x)) x)) (*.f64 y y))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
Calls

4 calls:

38.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
25.0ms
x
9.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
58.3%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
79.2%4y
76.6%3z
81.1%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes45.0ms (0.5%)

Memory
6.6MiB live, 43.5MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 y z) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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 (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/3 binary64) z)) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 z z (*.f64 x x)) x)) (*.f64 y y))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Calls

2 calls:

33.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
77.0%3y
65.1%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes45.0ms (0.6%)

Memory
13.2MiB live, 89.1MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x z) (/.f64 y x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 y z) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.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 (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/3 binary64) z)) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 z z (*.f64 x x)) x)) (*.f64 y y))))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 x x (*.f64 z z)) x))) y)) y x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

14.0ms
y
12.0ms
x
9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
z
Results
AccuracySegmentsBranch
48.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
48.9%1x
48.9%1z
48.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
-14.8MiB live, 22.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Calls

4 calls:

4.0ms
x
2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
43.2%3z
38.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.5%3x
38.5%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Calls

4 calls:

2.0ms
z
1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
13.7%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.7%1y
13.7%1x
13.7%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes24.0ms (0.3%)

Memory
-23.6MiB live, 15.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
Outputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
Calls

4 calls:

20.0ms
z
1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
3.0%1x
3.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
3.0%1z
3.0%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch64.0ms (0.8%)

Memory
8.6MiB live, 64.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.8673152018059646e+70
4.1884605968711866e+74
44.0ms
-1966665097635968.0
-4969927657.495315
Samples
50.0ms272×0valid
Compiler

Compiled 590 to 456 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-cos: 32.0ms (74.1% of total)
ival-sin: 6.0ms (13.9% of total)
ival-mult: 4.0ms (9.3% of total)
ival-add: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
-17.9MiB live, 57.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.418812093328219e-211
3.2600602632616276e-208
8.0ms
-1.7454226106441719e-10
-1.2363798729066344e-10
Samples
18.0ms176×0valid
Compiler

Compiled 430 to 322 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 6.0ms (43.5% of total)
ival-cos: 4.0ms (29% of total)
ival-mult: 2.0ms (14.5% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Memory
17.7MiB live, 97.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
8.580199416625934e-6
2070496.086591153
25.0ms
-371092245374.2374
-3.2158950392824006
Samples
30.0ms320×0valid
Compiler

Compiled 772 to 594 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 9.0ms (41.6% of total)
ival-sin: 7.0ms (32.3% of total)
ival-mult: 4.0ms (18.5% of total)
ival-add: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-0.8MiB live, 75.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.000484660383656e+124
6.076210772800425e+126
13.0ms
-1.0515639090029538e+93
-3.394744126396645e+92
Samples
22.0ms208×0valid
Compiler

Compiled 558 to 404 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 9.0ms (52.6% of total)
ival-sin: 4.0ms (23.4% of total)
ival-mult: 3.0ms (17.5% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify60.0ms (0.7%)

Memory
8.0MiB live, 88.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
090283
1144283
2243282
3623270
41701268
54786268
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 x #s(literal -920000000000 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 310000000000000017887258655676396314034054985539494255354427781647695872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))))
(if (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))))
(if (<=.f64 y #s(literal -13/4 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -800000000000000034701837579695348858632234659961551449433419031468893450311744888753059004416 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (if (<=.f64 z #s(literal 5500000000000000413459678040850147451092859853938245174156000062967712588833283625654976056037669194855462752713688894796726272 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 x #s(literal -920000000000 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 310000000000000017887258655676396314034054985539494255354427781647695872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 x #s(literal -920000000000 binary64)) (not (<=.f64 x #s(literal 310000000000000017887258655676396314034054985539494255354427781647695872 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) (not (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)))
(if (<=.f64 y #s(literal -13/4 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (or (<=.f64 y #s(literal -13/4 binary64)) (not (<=.f64 y #s(literal 7032821178101767/1152921504606846976 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 z y x))
(if (<=.f64 z #s(literal -800000000000000034701837579695348858632234659961551449433419031468893450311744888753059004416 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (if (<=.f64 z #s(literal 5500000000000000413459678040850147451092859853938245174156000062967712588833283625654976056037669194855462752713688894796726272 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))))
(if (or (<=.f64 z #s(literal -800000000000000034701837579695348858632234659961551449433419031468893450311744888753059004416 binary64)) (not (<=.f64 z #s(literal 5500000000000000413459678040850147451092859853938245174156000062967712588833283625654976056037669194855462752713688894796726272 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))

soundness973.0ms (11.9%)

Memory
-8.3MiB live, 742.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621305
111801226
239331183
082441072
093240
1295236
2899230
32097224
43852224
56548224
08035195
07213690
125003499
084493324
0819
01319
12919
218519
3185419
0822718
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 556 to 253 computations (54.5% saved)

preprocess124.0ms (1.5%)

Memory
-9.8MiB live, 68.0MiB allocated
Compiler

Compiled 556 to 188 computations (66.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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