Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C

Time bar (total: 9.5s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (13.2%)

Memory
-27.1MiB live, 1 818.3MiB allocated
Samples
1.0s8 249×0valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 649.0ms
ival-sin: 310.0ms (47.8% of total)
ival-cos: 191.0ms (29.4% of total)
ival-add: 77.0ms (11.9% of total)
ival-mult: 61.0ms (9.4% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess68.0ms (0.7%)

Memory
16.8MiB live, 56.0MiB allocated
Algorithm
egg-herbie
Rules
334×sub-neg
294×cancel-sign-sub-inv
286×associate-+l-
272×distribute-rgt-in
236×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
19282
223481
358881
4102981
5141481
6169681
7188881
8199581
9205581
10206981
089
0139
1189
2259
3279
0278
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))

explain109.0ms (1.1%)

Memory
21.6MiB live, 181.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(+.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
48.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-cos: 12.0ms (38.3% of total)
ival-sin: 11.0ms (35.1% of total)
ival-add: 5.0ms (16% of total)
ival-mult: 3.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory
-31.6MiB live, 6.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(+.f64 x (sin.f64 y))
cost-diff128
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Rules
24×lower-+.f32
20×lower-+.f64
12×lower-fma.f64
12×lower-fma.f32
10×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11824
22524
32724
02723
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)

localize33.0ms (0.4%)

Memory
4.4MiB live, 42.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 x (sin.f64 y))
accuracy100.0%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy99.7%
(*.f64 z (cos.f64 y))
Samples
23.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39.4% of total)
ival-cos: 5.0ms (32.8% of total)
ival-add: 2.0ms (13.1% of total)
ival-mult: 2.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))>
#<alt (+.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
Outputs
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (sin y))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (sin y)>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt x>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (+ x (sin y)) (* z (cos y)))
1.0ms
z
@0
(* z (cos y))
1.0ms
y
@inf
(+ (+ x (sin y)) (* z (cos y)))
0.0ms
z
@0
(+ (+ x (sin y)) (* z (cos y)))
0.0ms
y
@-inf
(+ (+ x (sin y)) (* z (cos y)))

rewrite378.0ms (4%)

Memory
23.4MiB live, 301.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 470×lower-*.f32
4 468×lower-*.f64
4 404×lower-fma.f64
4 404×lower-fma.f32
2 454×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
14321
236221
3554821
0832020
Stop Event
iter limit
node limit
iter limit
Counts
5 → 172
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(fma.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y)))
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y)))
(fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
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(*.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))))
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))))
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(sin.f64 y)
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(cos.f64 y)

simplify397.0ms (4.2%)

Memory
-13.6MiB live, 223.0MiB allocated
Algorithm
egg-herbie
Rules
11 712×lower-fma.f64
11 712×lower-fma.f32
3 160×lower-*.f64
3 160×lower-*.f32
2 322×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109647
1310643
2852633
32193631
44247631
57326631
08046578
Stop Event
iter limit
node limit
Counts
108 → 101
Calls
Call 1
Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
Outputs
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
x
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
x
(+ x y)
(+.f64 y x)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval38.0ms (0.4%)

Memory
-11.4MiB live, 27.1MiB allocated
Compiler

Compiled 6 608 to 592 computations (91% saved)

prune39.0ms (0.4%)

Memory
5.9MiB live, 45.5MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New26112273
Fresh000
Picked101
Done000
Total26212274
Accuracy
99.9%
Counts
274 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
99.9%
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
62.1%
(fma.f64 z (cos.f64 y) (sin.f64 y))
53.3%
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
43.6%
(+.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 z (cos.f64 y)))
62.1%
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
52.9%
(+.f64 (sin.f64 y) x)
54.4%
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
64.7%
(+.f64 z x)
58.8%
(+.f64 y (+.f64 z x))
48.6%
(*.f64 z (cos.f64 y))
Compiler

Compiled 368 to 218 computations (40.8% saved)

simplify14.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (sin.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(+.f64 (sin.f64 y) x)
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
cost-diff0
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
cost-diff0
(+.f64 z x)
cost-diff0
(sin.f64 y)
cost-diff0
(+.f64 x (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
Rules
340×lower-fma.f32
332×lower-fma.f64
146×lower-*.f32
144×lower-*.f64
132×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01678
03178
15678
29478
317378
420278
521678
622378
022378
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
(+.f64 z x)
z
x
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
z
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
y
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(+.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(fma.f64 z (cos.f64 y) (sin.f64 y))
z
(cos.f64 y)
y
(sin.f64 y)
Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
(+.f64 z x)
z
x
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 z x))
z
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
y
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
z
(cos.f64 y)
y
(sin.f64 y)

localize100.0ms (1.1%)

Memory
-28.4MiB live, 62.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 z (cos.f64 y) (sin.f64 y))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(+.f64 (sin.f64 y) x)
accuracy100.0%
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy100.0%
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
accuracy100.0%
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 x (sin.f64 y))
accuracy99.9%
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
Samples
60.0ms256×0valid
Compiler

Compiled 87 to 22 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 8.0ms (29.2% of total)
ival-mult: 7.0ms (25.5% of total)
ival-cos: 6.0ms (21.9% of total)
ival-sin: 5.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
11 → 264
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (+.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (+.f64 z x)>
#<alt (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))>
#<alt (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 z #s(literal -1/2 binary64))>
#<alt (+.f64 (sin.f64 y) x)>
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))>
Outputs
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (sin y))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (sin y)>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt x>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ y (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ y (* -1/2 (* (pow y 2) z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* y (+ 1 (* -1/2 (* y z))))>
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))>
#<alt (* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))>
#<alt (* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt x>
#<alt (+ x y)>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (sin y)>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt (+ x (sin y))>
#<alt x>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))>
#<alt (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))
1.0ms
z
@inf
(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))
0.0ms
z
@-inf
(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))
0.0ms
z
@0
(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))
0.0ms
x
@0
(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))

rewrite439.0ms (4.6%)

Memory
10.6MiB live, 279.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 080×lower-fma.f32
5 072×lower-fma.f64
4 628×lower-/.f64
4 628×lower-/.f32
3 700×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01658
03158
114658
2125458
0827158
Stop Event
iter limit
node limit
iter limit
Counts
11 → 471
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(cos.f64 y)
(+.f64 x (sin.f64 y))
(sin.f64 y)
(+.f64 z x)
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -1/2 binary64))
(+.f64 (sin.f64 y) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
Outputs
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
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(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))
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(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))

simplify476.0ms (5%)

Memory
19.1MiB live, 339.1MiB allocated
Algorithm
egg-herbie
Rules
13 312×lower-fma.f64
13 312×lower-fma.f32
5 162×lower-*.f64
5 162×lower-*.f32
1 608×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01941886
15911868
216811800
360591788
082441604
Stop Event
iter limit
node limit
Counts
264 → 243
Calls
Call 1
Inputs
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+ x y)
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
x
(+ x y)
(+ x (* y (+ 1 (* -1/2 (* y z)))))
(+ x (* y (+ 1 (* -1/2 (* y z)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z)))
(+ x y)
(+ x (+ y (* -1/2 (* (pow y 2) z))))
(+ x (+ y (* -1/2 (* (pow y 2) z))))
(+ x (+ y (* -1/2 (* (pow y 2) z))))
(* -1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))
(* -1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))
(* y (+ 1 (* -1/2 (* y z))))
(+ x (* y (+ 1 (* -1/2 (* y z)))))
(+ x (* y (+ 1 (* -1/2 (* y z)))))
(+ x (* y (+ 1 (* -1/2 (* y z)))))
x
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* -1/2 (* y z))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* -1/2 (* y z))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
Outputs
(+ x z)
(+.f64 x z)
(+ x (+ y z))
(+.f64 x (+.f64 z y))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
x
(* x (+ 1 (/ (sin y) x)))
(+.f64 x (sin.f64 y))
(* x (+ 1 (/ (sin y) x)))
(+.f64 x (sin.f64 y))
(* x (+ 1 (/ (sin y) x)))
(+.f64 x (sin.f64 y))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 x (sin.f64 y))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 x (sin.f64 y))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 x (sin.f64 y))
x
(+ x y)
(+.f64 x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
x
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
z
(* z (+ 1 (/ x z)))
(+.f64 x z)
(* z (+ 1 (/ x z)))
(+.f64 x z)
(* z (+ 1 (/ x z)))
(+.f64 x z)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 x z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 x z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 x z)
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eval158.0ms (1.7%)

Memory
-13.7MiB live, 185.6MiB allocated
Compiler

Compiled 20 787 to 1 450 computations (93% saved)

prune122.0ms (1.3%)

Memory
-8.3MiB live, 263.9MiB allocated
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New73021751
Fresh617
Picked145
Done000
Total73726763
Accuracy
99.9%
Counts
763 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(fma.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) x)) (sin.f64 y))
50.4%
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
26.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
99.9%
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
62.1%
(fma.f64 z (cos.f64 y) (sin.f64 y))
30.6%
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
86.0%
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
18.6%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
18.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
61.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))))
54.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
64.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
62.1%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
52.9%
(+.f64 (sin.f64 y) x)
34.7%
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
52.0%
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
30.0%
(+.f64 z y)
64.7%
(+.f64 z x)
34.4%
(+.f64 x y)
18.6%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
31.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
31.7%
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
2.8%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
48.6%
(*.f64 z (cos.f64 y))
15.8%
(sin.f64 y)
Compiler

Compiled 729 to 440 computations (39.6% saved)

simplify250.0ms (2.6%)

Memory
12.4MiB live, 422.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (*.f64 z z))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(*.f64 z (*.f64 y #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)
cost-diff128
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
cost-diff0
(+.f64 x y)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (sin.f64 y))
cost-diff0
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
cost-diff896
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
Rules
6 346×lower-fma.f32
6 336×lower-fma.f64
3 068×lower-*.f32
3 058×lower-*.f64
1 708×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021123
043115
171115
2119115
3171114
4220112
5379112
6654112
71291112
83582112
95805112
08012111
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
x
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
z
(cos.f64 y)
y
(sin.f64 y)
(+.f64 x y)
x
y
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
z
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)
y
(*.f64 z (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
x
(*.f64 x x)
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(fma.f64 x (-.f64 x z) (*.f64 z z))
(-.f64 x z)
(sin.f64 y)
y
Outputs
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
x
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
z
(cos.f64 y)
y
(sin.f64 y)
(+.f64 x y)
x
y
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
z
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)
y
(*.f64 z (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
x
(*.f64 x x)
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(fma.f64 x (-.f64 x z) (*.f64 z z))
(-.f64 x z)
(sin.f64 y)
y

localize85.0ms (0.9%)

Memory
-0.6MiB live, 235.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(fma.f64 x (-.f64 x z) (*.f64 z z))
accuracy99.8%
(*.f64 z (*.f64 z z))
accuracy95.8%
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
accuracy32.7%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
accuracy100.0%
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
accuracy100.0%
(*.f64 z (*.f64 y #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy99.9%
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 z (cos.f64 y) (sin.f64 y))
accuracy99.8%
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
accuracy86.0%
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
Samples
56.0ms256×0valid
Compiler

Compiled 135 to 28 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 16.0ms (38.7% of total)
ival-add: 9.0ms (21.8% of total)
ival-cos: 6.0ms (14.5% of total)
ival-sin: 5.0ms (12.1% of total)
ival-div: 3.0ms (7.3% of total)
ival-sub: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
-12.2MiB live, 67.9MiB allocated
Counts
15 → 348
Calls
Call 1
Inputs
#<alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)>
#<alt (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)>
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))>
#<alt (cos.f64 y)>
#<alt (+.f64 x y)>
#<alt (+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))>
#<alt (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)>
#<alt (*.f64 z (*.f64 y #s(literal -1/2 binary64)))>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))>
#<alt (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))>
#<alt (*.f64 x x)>
#<alt (*.f64 z (*.f64 z z))>
#<alt (sin.f64 y)>
#<alt (fma.f64 x (-.f64 x z) (*.f64 z z))>
Outputs
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (+ x (sin y))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (/ (sin y) x)>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (/ z x)>
#<alt (+ (/ y x) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt x>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))>
#<alt x>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ x z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ x z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ x z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (* -1/2 (* (pow y 2) z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))>
#<alt (* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))>
#<alt (pow z 3)>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (pow x 3)>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x z)) (pow z 2))>
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))>
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x z)) (pow x 2))>
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))>
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))>
Calls

87 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(* z (* y -1/2))
2.0ms
z
@inf
(+ (* z (cos y)) (sin y))
1.0ms
x
@0
(/ (+ (* x (* x x)) (* z (* z z))) (+ (* x (- x z)) (* z z)))
1.0ms
z
@0
(/ (+ (* x (* x x)) (* z (* z z))) (+ (* x (- x z)) (* z z)))
1.0ms
x
@0
(/ (+ (* z (cos y)) (sin y)) x)

rewrite355.0ms (3.7%)

Memory
17.2MiB live, 817.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 018×lower-fma.f32
6 008×lower-fma.f64
4 442×lower-/.f32
4 438×lower-/.f64
3 638×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021103
04395
117295
2137792
0823592
Stop Event
iter limit
node limit
iter limit
Counts
15 → 516
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cos.f64 y)
(+.f64 x y)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)
(*.f64 z (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
(*.f64 x x)
(*.f64 z (*.f64 z z))
(sin.f64 y)
(fma.f64 x (-.f64 x z) (*.f64 z z))
Outputs
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
(fma.f64 x #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) x)
(fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x x)
(fma.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) x)
(fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(fma.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) x)
(fma.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) x)
(fma.f64 (neg.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
(fma.f64 (*.f64 x (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) x)
(fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 (/.f64 x (/.f64 x (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x)
(fma.f64 (/.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)
(fma.f64 (/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)) (/.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal 1 binary64)))
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(/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (*.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))))
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simplify390.0ms (4.1%)

Memory
-14.7MiB live, 859.5MiB allocated
Algorithm
egg-herbie
Rules
11 284×lower-fma.f64
11 284×lower-fma.f32
3 844×lower-+.f64
3 844×lower-+.f32
3 100×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03142696
110092671
231432605
083922409
Stop Event
iter limit
node limit
Counts
348 → 325
Calls
Call 1
Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ (sin y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(/ z x)
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(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
x
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))
(+ x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
x
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))
x
(+ x (* -1/2 (* (pow y 2) z)))
(+ x (* -1/2 (* (pow y 2) z)))
(+ x (* -1/2 (* (pow y 2) z)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))
x
(+ x (* -1/2 (* (pow y 2) z)))
(+ x (* -1/2 (* (pow y 2) z)))
(+ x (* -1/2 (* (pow y 2) z)))
(* -1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (pow y 2)) (/ x z)))
(* z (+ (* -1/2 (pow y 2)) (/ x z)))
(* z (+ (* -1/2 (pow y 2)) (/ x z)))
(* -1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(+ x (* -1/2 (* (pow y 2) z)))
(+ x (* -1/2 (* (pow y 2) z)))
(+ x (* -1/2 (* (pow y 2) z)))
x
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))
x
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))
(pow z 3)
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))
(pow x 3)
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(pow z 3)
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(pow z 2)
(+ (* -1 (* x z)) (pow z 2))
(+ (* x (+ x (* -1 z))) (pow z 2))
(+ (* x (+ x (* -1 z))) (pow z 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(pow x 2)
(+ (* -1 (* x z)) (pow x 2))
(+ (* z (+ z (* -1 x))) (pow x 2))
(+ (* z (+ z (* -1 x))) (pow x 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
Outputs
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z)))
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(/ z x)
(/.f64 z x)
(+ (/ y x) (/ z x))
(+.f64 (/.f64 z x) (/.f64 y x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(fma.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x))
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (sin y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
z
(+ y z)
(+.f64 y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
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(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(pow z 2)
(*.f64 z z)
(+ (* -1 (* x z)) (pow z 2))
(*.f64 z (-.f64 z x))
(+ (* x (+ x (* -1 z))) (pow z 2))
(fma.f64 z (-.f64 z x) (*.f64 x x))
(+ (* x (+ x (* -1 z))) (pow z 2))
(fma.f64 z (-.f64 z x) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* x z)) (pow x 2))
(*.f64 x (-.f64 x z))
(+ (* z (+ z (* -1 x))) (pow x 2))
(fma.f64 z (-.f64 z x) (*.f64 x x))
(+ (* z (+ z (* -1 x))) (pow x 2))
(fma.f64 z (-.f64 z x) (*.f64 x x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))

eval106.0ms (1.1%)

Memory
26.0MiB live, 334.4MiB allocated
Compiler

Compiled 22 325 to 1 686 computations (92.4% saved)

prune124.0ms (1.3%)

Memory
-23.0MiB live, 391.4MiB allocated
Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New82528853
Fresh8917
Picked235
Done134
Total83643879
Accuracy
99.9%
Counts
879 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
54.7%
(fma.f64 z (/.f64 x z) z)
62.1%
(fma.f64 z (cos.f64 y) (sin.f64 y))
5.6%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
48.0%
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
69.2%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x))) x) x)
85.7%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
52.9%
(fma.f64 x (/.f64 (sin.f64 y) x) x)
59.2%
(fma.f64 x (/.f64 z x) x)
47.1%
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
71.9%
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
15.7%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
15.2%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
9.9%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
10.3%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
11.3%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
11.7%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
18.5%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
11.7%
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
12.0%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
11.2%
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
18.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
17.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
61.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
64.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
34.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
62.1%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
52.9%
(+.f64 (sin.f64 y) x)
51.5%
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
34.7%
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
52.0%
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
35.9%
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
30.0%
(+.f64 z y)
64.7%
(+.f64 z x)
34.4%
(+.f64 x y)
15.2%
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
25.3%
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
31.7%
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
2.8%
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
48.6%
(*.f64 z (cos.f64 y))
15.8%
(sin.f64 y)
Compiler

Compiled 1 544 to 789 computations (48.9% saved)

simplify418.0ms (4.4%)

Memory
12.1MiB live, 839.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
cost-diff3392
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))
cost-diff0
(-.f64 x z)
cost-diff0
(fma.f64 x (-.f64 x z) (*.f64 z z))
cost-diff0
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(/.f64 z x)
cost-diff0
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff1024
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff896
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))
Rules
18 882×lower-fma.f32
18 870×lower-fma.f64
4 542×lower-+.f32
4 540×lower-+.f64
4 094×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032321
064260
1118253
2281244
3886242
44324242
08057241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
z
(cos.f64 y)
y
(sin.f64 y)
(+.f64 z y)
z
y
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
x
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 z x)
z
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(fma.f64 x (-.f64 x z) (*.f64 z z))
x
(-.f64 x z)
z
(*.f64 z z)
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
(*.f64 x x)
(*.f64 z (*.f64 z z))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
x
(*.f64 x x)
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(fma.f64 x (-.f64 x z) (*.f64 z z))
(-.f64 x z)
(-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))
(*.f64 x (-.f64 x z))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
#s(literal 1 binary64)
Outputs
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
z
(cos.f64 y)
y
(sin.f64 y)
(+.f64 z y)
z
y
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
x
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 z x)
z
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
#s(literal 1 binary64)
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(fma.f64 x (-.f64 x z) (*.f64 z z))
x
(-.f64 x z)
z
(*.f64 z z)
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
(*.f64 x x)
(*.f64 z (*.f64 z z))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
x
(*.f64 x x)
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 x (-.f64 x z) (*.f64 z z))
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(fma.f64 x (-.f64 x z) (*.f64 z z))
(-.f64 x z)
(-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))
(*.f64 x (-.f64 x z))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
#s(literal 1 binary64)

localize145.0ms (1.5%)

Memory
17.1MiB live, 214.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy95.8%
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
accuracy93.4%
(-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))
accuracy39.1%
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))
accuracy32.7%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
accuracy99.8%
(*.f64 z (*.f64 z z))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
accuracy95.8%
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
accuracy31.8%
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy93.7%
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy89.8%
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
accuracy100.0%
(+.f64 z y)
accuracy99.9%
(fma.f64 z (cos.f64 y) (sin.f64 y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))
accuracy86.0%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
Samples
81.0ms256×0valid
Compiler

Compiled 344 to 39 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 18.0ms (29.6% of total)
ival-div: 13.0ms (21.4% of total)
ival-sub: 10.0ms (16.5% of total)
ival-add: 7.0ms (11.5% of total)
ival-cos: 6.0ms (9.9% of total)
ival-sin: 5.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-8.5MiB live, 35.2MiB allocated
Counts
21 → 492
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))>
#<alt (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))>
#<alt (+.f64 z y)>
#<alt (fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)>
#<alt (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))>
#<alt (/.f64 z x)>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))>
#<alt (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))>
#<alt (fma.f64 x (-.f64 x z) (*.f64 z z))>
#<alt (-.f64 x z)>
#<alt (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))>
#<alt (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))>
#<alt (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))>
#<alt (*.f64 y y)>
#<alt (*.f64 z (*.f64 z z))>
#<alt (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))>
Outputs
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (sin y) x)>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (/ z x)>
#<alt (+ (/ y x) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (+ x (sin y))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (sin y))>
#<alt (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ 1 (sin y)))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (sin y) 3)) (/ (cos y) (pow (sin y) 2)))) (/ 1 (sin y)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (pow (sin y) 3))))) (/ (cos y) (pow (sin y) 2)))) (/ 1 (sin y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ (sin y) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ (sin y) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (sin y) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 2) (* z (pow (cos y) 3))) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 3) (* z (pow (cos y) 4))) (/ (pow (sin y) 2) (pow (cos y) 3))) z)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ y (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow z 2))) (+ (* 1/2 (/ 1 (pow z 2))) (/ 1 (pow z 4)))))) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))>
#<alt (* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))>
#<alt (* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))>
#<alt x>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)>
#<alt (/ z x)>
#<alt (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))>
#<alt (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))>
#<alt (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))>
#<alt (* -1/2 (/ (* (pow y 2) z) x))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (* -1/2 (/ (* (pow y 2) z) x))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))>
#<alt (* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ x (pow z 2))) (/ 1 z))>
#<alt (+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ z x))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ z x)) (/ (pow z 2) (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 3) (pow x 3))) (/ (pow z 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ z x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 z) (/ (pow z 2) x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (pow z 2)) (/ (pow z 3) x)) x))) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ z (pow x 2))) (/ 1 x))>
#<alt (+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ x z))) z)>
#<alt (/ (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))) z)>
#<alt (/ (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 3) (pow z 3))) (/ (pow x 2) (pow z 2))))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ x z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) z)) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) z)) z))) z)) 1) z))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x z)) (pow z 2))>
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))>
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x z)) (pow x 2))>
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))>
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x z)) (pow z 2))>
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))>
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x z)) (pow x 2))>
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))>
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))>
#<alt (* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))>
#<alt (pow z 3)>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (pow x 3)>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (* -1 (pow z 2))>
#<alt (- (* -1 (* x z)) (pow z 2))>
#<alt (- (* x (+ x (* -1 z))) (pow z 2))>
#<alt (- (* x (+ x (* -1 z))) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))>
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x z)) (pow x 2))>
#<alt (+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))>
#<alt (+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* -1 (/ x z)) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* -1 (/ x z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))>
Calls

123 calls:

TimeVariablePointExpression
9.0ms
z
@inf
(* (/ z x) (+ (* -1/2 (* y y)) 1))
1.0ms
z
@0
(* (/ z x) (+ (* -1/2 (* y y)) 1))
1.0ms
x
@0
(* (/ z x) (+ (* -1/2 (* y y)) 1))
1.0ms
y
@inf
(/ 1 (+ (* z (cos y)) (sin y)))
0.0ms
y
@-inf
(/ 1 (+ (* z (cos y)) (sin y)))

rewrite450.0ms (4.7%)

Memory
2.3MiB live, 585.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 360×lower-fma.f32
5 348×lower-fma.f64
4 186×lower-/.f32
4 170×lower-/.f64
4 114×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032231
064175
1261160
22111160
08652160
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 119
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 z y)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 z x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(fma.f64 x (-.f64 x z) (*.f64 z z))
(-.f64 x z)
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))
(*.f64 x x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 y y)
(*.f64 z (*.f64 z z))
(-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
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(/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (neg.f64 (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (neg.f64 (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (neg.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (neg.f64 (fma.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 x (-.f64 x z)) (neg.f64 (*.f64 z z)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (*.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))))) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (*.f64 (neg.f64 (*.f64 z z)) (*.f64 x (-.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (/.f64 (*.f64 z z) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z)))))))
(pow.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))))

simplify314.0ms (3.3%)

Memory
-9.9MiB live, 559.0MiB allocated
Algorithm
egg-herbie
Rules
6 692×lower-fma.f64
6 692×lower-fma.f32
4 134×lower-*.f64
4 134×lower-*.f32
2 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04784184
114814095
245473980
082973717
Stop Event
iter limit
node limit
Counts
492 → 465
Calls
Call 1
Inputs
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (sin y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(/ z x)
(+ (/ y x) (/ z x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
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(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
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(/ 1 x)
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(/ 1 x)
(/ 1 x)
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(/ 1 (sin y))
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(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ (sin y) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ (sin y) (* z (pow (cos y) 2))))) z)
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(* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 2) (* z (pow (cos y) 3))) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 3) (* z (pow (cos y) 4))) (/ (pow (sin y) 2) (pow (cos y) 3))) z)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 z)
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y
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(* z (+ 1 (/ y z)))
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z
(+ y z)
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y
(* y (+ 1 (/ z y)))
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y
(* -1 (* y (- (* -1 (/ z y)) 1)))
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x
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(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
x
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))
x
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(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
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(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
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(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))
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(+ x (+ z (* -1/2 (* (pow y 2) z))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x)
(/ z x)
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))
(* -1/2 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))
(* -1/2 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))
(/ 1 z)
(+ (* -1 (/ x (pow z 2))) (/ 1 z))
(+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))
(+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(/ 1 x)
(/ (+ 1 (* -1 (/ z x))) x)
(/ (+ 1 (+ (* -1 (/ z x)) (/ (pow z 2) (pow x 2)))) x)
(/ (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 3) (pow x 3))) (/ (pow z 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (/ z x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 z) (/ (pow z 2) x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (pow z 2)) (/ (pow z 3) x)) x))) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ z (pow x 2))) (/ 1 x))
(+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 z)
(/ (+ 1 (* -1 (/ x z))) z)
(/ (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))) z)
(/ (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 3) (pow z 3))) (/ (pow x 2) (pow z 2))))) z)
(/ 1 z)
(* -1 (/ (- (/ x z) 1) z))
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) z)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) z)) z))) z)) 1) z))
(pow z 2)
(+ (* -1 (* x z)) (pow z 2))
(+ (* x (+ x (* -1 z))) (pow z 2))
(+ (* x (+ x (* -1 z))) (pow z 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(pow x 2)
(+ (* -1 (* x z)) (pow x 2))
(+ (* z (+ z (* -1 x))) (pow x 2))
(+ (* z (+ z (* -1 x))) (pow x 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(pow z 2)
(+ (* -1 (* x z)) (pow z 2))
(+ (* x (+ x (* -1 z))) (pow z 2))
(+ (* x (+ x (* -1 z))) (pow z 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))
(pow x 2)
(+ (* -1 (* x z)) (pow x 2))
(+ (* z (+ z (* -1 x))) (pow x 2))
(+ (* z (+ z (* -1 x))) (pow x 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ x z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))
(pow z 3)
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))
(pow x 3)
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(+ (pow x 3) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(pow z 3)
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(* -1 (pow z 2))
(- (* -1 (* x z)) (pow z 2))
(- (* x (+ x (* -1 z))) (pow z 2))
(- (* x (+ x (* -1 z))) (pow z 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))
(pow x 2)
(+ (* -1 (* x z)) (pow x 2))
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ x z)) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ x z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))
Outputs
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(/ (* z (cos y)) x)
(/.f64 (*.f64 z (cos.f64 y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(/ (* z (cos y)) x)
(/.f64 (*.f64 z (cos.f64 y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))
(/ z x)
(/.f64 z x)
(+ (/ y x) (/ z x))
(+.f64 (/.f64 z x) (/.f64 y x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(fma.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) x) (/.f64 (*.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x))
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(/ (+ (sin y) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
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(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))
(+ (pow x 3) (pow z 3))
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))
(+ (pow x 3) (pow z 3))
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))
(pow z 3)
(*.f64 z (*.f64 z z))
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64))))
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64))))
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64))))
(pow z 3)
(*.f64 z (*.f64 z z))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64))))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64))))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(sin y)
(sin.f64 y)
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (sin y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
z
(+ y z)
(+.f64 y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(- (* -1 (* x z)) (pow z 2))
(*.f64 z (-.f64 (neg.f64 z) x))
(- (* x (+ x (* -1 z))) (pow z 2))
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z)))
(- (* x (+ x (* -1 z))) (pow z 2))
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x))
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ z x))))
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* x z)) (pow x 2))
(*.f64 x (-.f64 x z))
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z)))
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z)))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* (pow z 2) (- (* -1 (/ x z)) 1))
(*.f64 z (neg.f64 (fma.f64 z (/.f64 x z) z)))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64)))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64)))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* (pow z 2) (- (* -1 (/ x z)) 1))
(*.f64 z (neg.f64 (fma.f64 z (/.f64 x z) z)))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64)))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64)))

eval269.0ms (2.8%)

Memory
64.3MiB live, 541.7MiB allocated
Compiler

Compiled 71 456 to 4 673 computations (93.5% saved)

prune301.0ms (3.2%)

Memory
-32.1MiB live, 536.8MiB allocated
Pruning

56 alts after pruning (50 fresh and 6 done)

PrunedKeptTotal
New1 955281 983
Fresh102232
Picked415
Done156
Total1 970562 026
Accuracy
99.9%
Counts
2 026 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.2%
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
26.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
54.7%
(fma.f64 z (/.f64 x z) z)
62.1%
(fma.f64 z (cos.f64 y) (sin.f64 y))
18.6%
(fma.f64 y (/.f64 z y) y)
5.6%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
48.4%
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
69.2%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x))) x) x)
48.4%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
71.9%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x)
52.9%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
59.1%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
58.4%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
85.7%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x))) x)
68.5%
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (pow.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)))) x)
44.4%
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
52.9%
(fma.f64 x (/.f64 (sin.f64 y) x) x)
59.2%
(fma.f64 x (/.f64 z x) x)
28.2%
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
47.0%
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
71.9%
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
28.7%
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
7.9%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
8.3%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
9.9%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
10.3%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
11.3%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
11.7%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
18.5%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
82.8%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
12.0%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
8.1%
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
11.2%
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
11.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
16.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
38.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
27.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
9.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
61.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
34.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
27.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
39.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
18.6%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
62.1%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
52.9%
(+.f64 (sin.f64 y) x)
35.9%
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
30.0%
(+.f64 z y)
64.7%
(+.f64 z x)
34.4%
(+.f64 x y)
16.1%
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
2.8%
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
2.8%
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
48.6%
(*.f64 z (cos.f64 y))
15.8%
(sin.f64 y)
Compiler

Compiled 2 409 to 828 computations (65.6% saved)

regimes114.0ms (1.2%)

Memory
10.5MiB live, 174.0MiB allocated
Counts
90 → 1
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x))) x) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (pow.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)))) x)
(fma.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) x)) (sin.f64 y))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(+.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

32.0ms
x
27.0ms
z
25.0ms
y
25.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes93.0ms (1%)

Memory
24.7MiB live, 139.9MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
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(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
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(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
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(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
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(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
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(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
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(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
Calls

4 calls:

23.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
23.0ms
x
22.0ms
z
21.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes101.0ms (1.1%)

Memory
-6.1MiB live, 147.0MiB allocated
Counts
77 → 3
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
Calls

4 calls:

28.0ms
x
23.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
23.0ms
y
22.0ms
z
Results
AccuracySegmentsBranch
96.2%3x
87.6%4y
91.9%5z
85.5%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes30.0ms (0.3%)

Memory
-2.4MiB live, 39.8MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
Outputs
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
96.2%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes55.0ms (0.6%)

Memory
7.4MiB live, 44.3MiB allocated
Counts
74 → 5
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x)
Outputs
(*.f64 z (cos.f64 y))
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(+.f64 (sin.f64 y) x)
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)
(*.f64 z (cos.f64 y))
Calls

2 calls:

31.0ms
x
21.0ms
z
Results
AccuracySegmentsBranch
91.9%5z
85.8%4x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes256.0ms (2.7%)

Memory
-11.2MiB live, 64.2MiB allocated
Counts
70 → 4
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
Outputs
(*.f64 z (cos.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 z x)
(*.f64 z (cos.f64 y))
Calls

2 calls:

232.0ms
z
21.0ms
y
Results
AccuracySegmentsBranch
81.3%5y
86.5%4z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes220.0ms (2.3%)

Memory
-104.8MiB live, 173.9MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(+.f64 (sin.f64 y) x)
Outputs
(+.f64 (sin.f64 y) x)
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+.f64 (sin.f64 y) x)
Calls

4 calls:

150.0ms
y
22.0ms
z
22.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
x
Results
AccuracySegmentsBranch
76.4%3y
78.2%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
64.7%1x
75.8%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes72.0ms (0.8%)

Memory
1.9MiB live, 120.6MiB allocated
Counts
67 → 5
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(sin.f64 y)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
Outputs
(+.f64 z x)
(sin.f64 y)
(+.f64 y (+.f64 z x))
(sin.f64 y)
(+.f64 z x)
Calls

3 calls:

23.0ms
y
23.0ms
z
22.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
77.8%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
64.7%1z
64.7%1y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes77.0ms (0.8%)

Memory
-15.9MiB live, 68.9MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 z (/.f64 x z) z)
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x)
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x))))
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x)
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))))
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x)
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))
Outputs
(+.f64 z x)
Calls

2 calls:

41.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
33.0ms
z
Results
AccuracySegmentsBranch
64.7%1z
64.7%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x y)
Outputs
(+.f64 x y)
Calls

4 calls:

1.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
34.4%1x
34.4%1y
34.4%1z
34.4%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch41.0ms (0.4%)

Memory
-9.2MiB live, 30.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.4640659004047747e-83
1.020051625647641e-81
13.0ms
-6.308754432109428e-31
-1.809384730883463e-32
Samples
19.0ms224×0valid
Compiler

Compiled 351 to 238 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 5.0ms (37% of total)
ival-cos: 4.0ms (29.6% of total)
ival-add: 2.0ms (14.8% of total)
ival-mult: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.4640659004047747e-83
1.020051625647641e-81
1.0ms
-6.308754432109428e-31
-1.809384730883463e-32
Compiler

Compiled 337 to 224 computations (33.5% saved)

bsearch96.0ms (1%)

Memory
4.4MiB live, 120.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
6.317229405982992e+128
2.552729904494262e+133
14.0ms
5.663892069072542e-41
1.0859946625844453e-39
22.0ms
-2.1426912468612647e-15
-5.896814457156947e-43
35.0ms
-2.3633232533256177e+167
-4.3435547275566846e+145
Samples
55.0ms591×0valid
0.0ms1valid
Compiler

Compiled 792 to 532 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 17.0ms (43.6% of total)
ival-cos: 12.0ms (30.7% of total)
ival-add: 5.0ms (12.8% of total)
ival-mult: 4.0ms (10.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory
-3.6MiB live, 69.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
4.399895928877246e+98
4.645982155275224e+110
5.0ms
5.663892069072542e-41
1.0859946625844453e-39
13.0ms
-1.5669877741825493e+35
-1.6228662722490152e+33
Samples
27.0ms288×0valid
Compiler

Compiled 382 to 285 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (37% of total)
ival-cos: 5.0ms (30.8% of total)
ival-add: 3.0ms (18.5% of total)
ival-mult: 2.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch71.0ms (0.8%)

Memory
-1.7MiB live, 81.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
50.0ms
0.00030959248037435897
887602.4592445394
18.0ms
-176003111.80955875
-9.436977967332939e-9
Samples
57.0ms304×0valid
Compiler

Compiled 452 to 318 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sin: 39.0ms (78.7% of total)
ival-add: 5.0ms (10.1% of total)
ival-cos: 3.0ms (6.1% of total)
ival-mult: 2.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.998819862015136
2332595941482877.0
0.0ms
0.00046972307652135437
0.004530175706845828
0.0ms
-0.0031444132512958006
-1.3987497064534616e-8
0.0ms
-74.18811992942169
-0.9997398579356592
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070251
184251
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)))
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)))
(if (<=.f64 z #s(literal -13000000000000000068854692121013884292779726133396128089903237832704952831799783720221566041622466430723711470731848003560974623047162097248422068224 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5399988732876221/10384593717069655257060992658440192 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 z #s(literal 5149185017309387/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 560000000000000013777520719591664897558440204059126177149366496673309125547916630310530493351124372885825064123224297913175534206976 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -6499999999999999934469377567490048 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 4400000000000000253891805525538115834697908013296913255774276900982587228152474673432385659958066518643703808 binary64)) (+.f64 z x) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3512807709348987/18014398509481984 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1152921504606847/576460752303423488 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x)))))
(+.f64 z x)
(+.f64 x y)
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)))
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x)))
(if (<=.f64 z #s(literal -13000000000000000068854692121013884292779726133396128089903237832704952831799783720221566041622466430723711470731848003560974623047162097248422068224 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5399988732876221/10384593717069655257060992658440192 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 z #s(literal 5149185017309387/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 560000000000000013777520719591664897558440204059126177149366496673309125547916630310530493351124372885825064123224297913175534206976 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -13000000000000000068854692121013884292779726133396128089903237832704952831799783720221566041622466430723711470731848003560974623047162097248422068224 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5399988732876221/10384593717069655257060992658440192 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 z #s(literal 5149185017309387/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 560000000000000013777520719591664897558440204059126177149366496673309125547916630310530493351124372885825064123224297913175534206976 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -6499999999999999934469377567490048 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 4400000000000000253891805525538115834697908013296913255774276900982587228152474673432385659958066518643703808 binary64)) (+.f64 z x) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -6499999999999999934469377567490048 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 4400000000000000253891805525538115834697908013296913255774276900982587228152474673432385659958066518643703808 binary64)) (+.f64 x z) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3512807709348987/18014398509481984 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -3512807709348987/18014398509481984 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 x (sin.f64 y))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1152921504606847/576460752303423488 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -50 binary64)) (+.f64 x z) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -1152921504606847/576460752303423488 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 y (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 x z)))))
(+.f64 z x)
(+.f64 x z)
(+.f64 x y)

soundness1.2s (13%)

Memory
-32.0MiB live, 857.6MiB allocated
Rules
13 312×lower-fma.f64
13 312×lower-fma.f32
11 712×lower-fma.f64
11 712×lower-fma.f32
11 284×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01941886
15911868
216811800
360591788
082441604
0821
01321
14321
236221
3554821
0832020
0109647
1310643
2852633
32193631
44247631
57326631
08046578
03142696
110092671
231432605
083922409
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 469 to 213 computations (54.6% saved)

preprocess61.0ms (0.6%)

Memory
39.0MiB live, 155.7MiB allocated
Compiler

Compiled 532 to 154 computations (71.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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