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

Time bar (total: 11.3s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample1.5s (13.5%)

Memory
-108.1MiB live, 1 809.4MiB allocated
Samples
1.2s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 947.0ms
ival-sin: 491.0ms (51.9% of total)
ival-cos: 270.0ms (28.5% of total)
ival-add: 93.0ms (9.8% of total)
ival-mult: 84.0ms (8.9% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess68.0ms (0.6%)

Memory
12.0MiB live, 50.4MiB 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))

explain191.0ms (1.7%)

Memory
-0.1MiB live, 192.0MiB 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
103.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-add: 24.0ms (47.8% of total)
ival-cos: 11.0ms (21.9% of total)
ival-sin: 11.0ms (21.9% of total)
ival-mult: 3.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)

simplify5.0ms (0%)

Memory
8.2MiB live, 8.2MiB 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)

localize77.0ms (0.7%)

Memory
-2.8MiB live, 66.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy100.0%
(+.f64 x (sin.f64 y))
accuracy99.8%
(*.f64 z (cos.f64 y))
Samples
54.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 34.0ms (74.5% of total)
ival-sin: 6.0ms (13.1% of total)
ival-cos: 4.0ms (8.8% of total)
ival-mult: 2.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB 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)))

rewrite584.0ms (5.2%)

Memory
-22.2MiB live, 507.9MiB 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)

simplify304.0ms (2.7%)

Memory
27.4MiB live, 622.7MiB 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)

eval39.0ms (0.3%)

Memory
4.9MiB live, 81.4MiB allocated
Compiler

Compiled 6 608 to 592 computations (91% saved)

prune43.0ms (0.4%)

Memory
-19.5MiB live, 95.2MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New25617273
Fresh000
Picked101
Done000
Total25717274
Accuracy
100.0%
Counts
274 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.8%
(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)))
62.7%
(fma.f64 z (cos.f64 y) (sin.f64 y))
56.6%
(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))
53.1%
(/.f64 (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))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
70.6%
(-.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))))
66.8%
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
73.7%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
79.3%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
54.9%
(+.f64 (sin.f64 y) x)
58.9%
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
62.6%
(+.f64 z x)
61.4%
(+.f64 y (+.f64 z x))
50.2%
(*.f64 (fma.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 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (fma.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 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.7%
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
46.4%
(*.f64 z (cos.f64 y))
Compiler

Compiled 666 to 358 computations (46.2% saved)

simplify361.0ms (3.2%)

Memory
5.6MiB live, 538.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(-.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)))))))
cost-diff192
(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)
cost-diff6592
(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))))))
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 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
15 930×lower-fma.f32
15 922×lower-fma.f64
3 158×lower-*.f32
3 150×lower-*.f64
1 644×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024178
045178
182177
2174177
3461171
41510171
54154171
08183161
Stop Event
iter limit
node limit
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 (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)
(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 #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)))))))
#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))))))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z 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) (cos.f64 (+.f64 y y)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
#s(literal 1 binary64)
(-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
x
Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(cos.f64 y)
y
z
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
(+.f64 z x)
z
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)
(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 (cos.f64 y) (neg.f64 z) (sin.f64 y))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (*.f64 z z))) x)
(-.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)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (*.f64 z z)) #s(literal 1/2 binary64))
#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 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (*.f64 z z)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 z z)
z
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
#s(literal 1 binary64)
(-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
x

localize115.0ms (1%)

Memory
-12.7MiB live, 223.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 z (cos.f64 y))
accuracy99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy84.8%
(-.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)))))))
accuracy71.3%
(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)
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%
(+.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
47.0ms197×0valid
24.0ms51×1valid
4.0ms2valid
2.0ms3valid
Compiler

Compiled 180 to 28 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-cos: 18.0ms (32.4% of total)
ival-add: 12.0ms (21.6% of total)
ival-mult: 10.0ms (18% of total)
ival-sin: 6.0ms (10.8% of total)
adjust: 4.0ms (7.2% of total)
ival-sub: 3.0ms (5.4% of total)
ival-div: 2.0ms (3.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
2.8MiB live, 40.8MiB allocated
Counts
12 → 276
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 (sin.f64 y) x)>
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))>
#<alt (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))))))>
#<alt (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)>
#<alt (-.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)))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (*.f64 z (cos.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>
#<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)))>
#<alt (+ 1/2 (pow z 2))>
#<alt (+ 1/2 (+ (* (pow y 2) (- (* -1 (pow z 2)) 1)) (pow z 2)))>
#<alt (+ 1/2 (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (+ 1/3 (* 1/3 (pow z 2))))) 1)) (pow z 2)))>
#<alt (+ 1/2 (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (+ 1/3 (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) 2/45)))))) 1)) (pow z 2)))>
#<alt (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))>
#<alt (- x (* -1 z))>
#<alt (- (+ x y) (* -1 z))>
#<alt (- (+ x (* y (+ 1 (* y (- (+ (* -1/2 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) (+ (* 1/2 z) (/ 1 z))) (+ z (* 1/2 (- (* 2 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))))))))) (* -1 z))>
#<alt (- (+ x (* y (+ 1 (* y (- (+ (* -1/2 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) (+ (* 1/2 z) (+ (* y (- (+ 1/3 (+ (* -1 (/ (- z (+ (* 1/2 z) (/ 1 z))) z)) (* -1/2 (+ (* 1/3 (/ 1 (pow z 2))) (+ (* 1/2 (/ 1 (pow z 2))) (/ 1 (pow z 4))))))) (* -1/2 (+ (* -1 (/ (- (* 2 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) z)) (* 1/3 (/ 1 (pow z 2))))))) (/ 1 z)))) (+ z (* 1/2 (- (* 2 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))))))))) (* -1 z))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (* 1/2 (/ (cos y) (pow (sin y) 2))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (+ (* 1/2 (/ (cos y) (pow (sin y) 2))) (* z (- (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3)))))))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (+ (* 1/2 (/ (cos y) (pow (sin y) 2))) (* z (- (+ (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))) (* z (- (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))) (* 1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4)))))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3)))))))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))>
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (/ x z))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))))))>
#<alt (* z (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 1/2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ x z)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (* (pow z 2) (cos y)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* 1/2 (/ 1 (* (pow z 2) (cos y))))))))))>
#<alt (* z (- (+ (* -1/2 (/ (sin y) (* (pow z 3) (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 1/2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 4)))) (/ x z)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (* (pow z 2) (cos y)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 2) (cos y))))))))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ x (* 1/2 (/ (sin y) (pow (cos y) 2)))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* 1/2 (/ 1 (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (* 1/2 (/ (sin y) (pow (cos y) 2))))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* 1/2 (/ (pow (sin y) 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))))) z)) (+ (* -1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* 1/2 (/ 1 (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (* 1/2 (/ (sin y) (pow (cos y) 2))))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))>
#<alt (* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))>
#<alt (* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))>
#<alt (* -1 (pow z 2))>
#<alt (- (* (pow y 2) (- 1 (* -1 (pow z 2)))) (pow z 2))>
#<alt (- (* (pow y 2) (- (+ 1 (* -1 (* (pow y 2) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2))>
#<alt (- (* (pow y 2) (- (+ 1 (* (pow y 2) (- (* (pow y 2) (- 2/45 (* -2/45 (pow z 2)))) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2))>
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))>
#<alt (- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))>
#<alt (- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 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))>
Calls

69 calls:

TimeVariablePointExpression
7.0ms
z
@inf
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
3.0ms
y
@inf
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
2.0ms
y
@-inf
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
2.0ms
x
@0
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
2.0ms
z
@0
(+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))

rewrite347.0ms (3.1%)

Memory
8.2MiB live, 454.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 482×lower-/.f32
4 480×lower-/.f64
4 296×lower-*.f32
4 288×lower-*.f64
2 802×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024110
04587
120968
2188868
0821468
Stop Event
iter limit
node limit
iter limit
Counts
12 → 449
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 (sin.f64 y) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(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))))))
(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 #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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 z (cos.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 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.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 (*.f64 x x) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (cos.f64 y) z (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) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.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 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) x)
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (cos.f64 y) z))
(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 (cos.f64 y) z))
(fma.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) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) x)
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(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))

simplify495.0ms (4.4%)

Memory
-17.9MiB live, 457.1MiB allocated
Algorithm
egg-herbie
Rules
9 102×lower-fma.f64
9 102×lower-fma.f32
5 396×lower-*.f64
5 396×lower-*.f32
4 592×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04644207
114814141
248204089
088573788
Stop Event
iter limit
node limit
Counts
276 → 257
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
(+ 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)))
(+ 1/2 (pow z 2))
(+ 1/2 (+ (* (pow y 2) (- (* -1 (pow z 2)) 1)) (pow z 2)))
(+ 1/2 (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (+ 1/3 (* 1/3 (pow z 2))))) 1)) (pow z 2)))
(+ 1/2 (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (+ 1/3 (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) 2/45)))))) 1)) (pow z 2)))
(+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* 1/2 (cos (* 2 y)))
(+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))
(* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))
(* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))
(* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))
(* (pow z 2) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))
(- x (* -1 z))
(- (+ x y) (* -1 z))
(- (+ x (* y (+ 1 (* y (- (+ (* -1/2 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) (+ (* 1/2 z) (/ 1 z))) (+ z (* 1/2 (- (* 2 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))))))))) (* -1 z))
(- (+ x (* y (+ 1 (* y (- (+ (* -1/2 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) (+ (* 1/2 z) (+ (* y (- (+ 1/3 (+ (* -1 (/ (- z (+ (* 1/2 z) (/ 1 z))) z)) (* -1/2 (+ (* 1/3 (/ 1 (pow z 2))) (+ (* 1/2 (/ 1 (pow z 2))) (/ 1 (pow z 4))))))) (* -1/2 (+ (* -1 (/ (- (* 2 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) z)) (* 1/3 (/ 1 (pow z 2))))))) (/ 1 z)))) (+ z (* 1/2 (- (* 2 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))))))))) (* -1 z))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (* 1/2 (/ (cos y) (pow (sin y) 2))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (+ (* 1/2 (/ (cos y) (pow (sin y) 2))) (* z (- (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3)))))))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (+ (* 1/2 (/ (cos y) (pow (sin y) 2))) (* z (- (+ (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))) (* z (- (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))) (* 1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4)))))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3)))))))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (/ x z))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))))))
(* z (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 1/2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ x z)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (* (pow z 2) (cos y)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* 1/2 (/ 1 (* (pow z 2) (cos y))))))))))
(* z (- (+ (* -1/2 (/ (sin y) (* (pow z 3) (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 1/2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 4)))) (/ x z)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (* (pow z 2) (cos y)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 2) (cos y))))))))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))
(* -1 (* z (- (* -1 (/ (- (+ x (* 1/2 (/ (sin y) (pow (cos y) 2)))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* 1/2 (/ 1 (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (* 1/2 (/ (sin y) (pow (cos y) 2))))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* 1/2 (/ (pow (sin y) 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))))) z)) (+ (* -1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* 1/2 (/ 1 (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (* 1/2 (/ (sin y) (pow (cos y) 2))))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
(- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))
x
(* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))
(* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))
(* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))
x
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))
(* -1 (pow z 2))
(- (* (pow y 2) (- 1 (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ 1 (* -1 (* (pow y 2) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ 1 (* (pow y 2) (- (* (pow y 2) (- 2/45 (* -2/45 (pow z 2)))) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))
(- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))
(- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 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))
Outputs
(+ x z)
(+.f64 x z)
(+ x (+ y z))
(+.f64 z (+.f64 x y))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))
(+ 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))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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))
(* 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 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 y y) (*.f64 z (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))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(* 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))

eval153.0ms (1.4%)

Memory
32.2MiB live, 182.0MiB allocated
Compiler

Compiled 24 195 to 1 596 computations (93.4% saved)

prune141.0ms (1.2%)

Memory
-5.6MiB live, 191.3MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New74721768
Fresh9312
Picked145
Done000
Total75728785
Accuracy
100.0%
Counts
785 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.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)))
73.7%
(fma.f64 (cos.f64 y) z (+.f64 x y))
53.1%
(fma.f64 z (/.f64 x z) z)
62.7%
(fma.f64 z (cos.f64 y) (sin.f64 y))
42.7%
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
30.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
32.6%
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
33.0%
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
84.1%
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
54.8%
(fma.f64 x (/.f64 (sin.f64 y) x) x)
29.4%
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (sin.f64 y) x))
28.8%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
17.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
28.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
32.1%
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
33.0%
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
54.9%
(+.f64 (sin.f64 y) x)
30.0%
(+.f64 z y)
62.6%
(+.f64 z x)
37.6%
(+.f64 x y)
99.7%
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
28.7%
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
46.2%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
90.4%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
46.4%
(*.f64 z (cos.f64 y))
18.3%
(sin.f64 y)
Compiler

Compiled 731 to 438 computations (40.1% saved)

simplify462.0ms (4.1%)

Memory
-19.1MiB live, 425.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
cost-diff0
(sin.f64 y)
cost-diff0
(-.f64 z x)
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 (+.f64 z x) (-.f64 z x))
cost-diff1408
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
cost-diff0
(+.f64 x y)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
cost-diff320
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
cost-diff28032
(*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
Rules
10 930×lower-fma.f32
10 928×lower-fma.f64
4 186×lower-*.f32
4 180×lower-*.f64
2 572×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020171
036133
166121
2160117
3610117
44854117
08490117
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
#s(literal 1 binary64)
(+.f64 x y)
x
y
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(*.f64 (+.f64 z x) (-.f64 z x))
(+.f64 z x)
z
x
(-.f64 z x)
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
Outputs
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
z
(cos.f64 y)
y
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
#s(literal 1 binary64)
(-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) x))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) x)))
#s(literal 1 binary64)
(+.f64 x y)
(+.f64 y x)
x
y
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(+.f64 z x)
(*.f64 (+.f64 z x) (-.f64 z x))
(+.f64 z x)
z
x
(-.f64 z x)
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
z
(cos.f64 y)
y
(+.f64 x (sin.f64 y))
x
(sin.f64 y)

localize99.0ms (0.9%)

Memory
34.3MiB live, 115.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (sin.f64 y))
accuracy99.9%
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(-.f64 z x)
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(*.f64 (+.f64 z x) (-.f64 z x))
accuracy49.5%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
accuracy100.0%
(+.f64 x y)
accuracy99.9%
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
accuracy99.8%
(*.f64 z (cos.f64 y))
accuracy99.8%
(*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
Samples
54.0ms256×0valid
Compiler

Compiled 173 to 22 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 6.0ms (20.4% of total)
ival-mult: 6.0ms (20.4% of total)
ival-cos: 6.0ms (20.4% of total)
ival-sin: 5.0ms (17% of total)
ival-add: 4.0ms (13.6% of total)
ival-sub: 2.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-18.1MiB live, 20.7MiB allocated
Counts
15 → 408
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))>
#<alt (*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))>
#<alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (+.f64 x y)>
#<alt (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))>
#<alt (*.f64 (+.f64 z x) (-.f64 z x))>
#<alt (+.f64 z x)>
#<alt (-.f64 z x)>
#<alt (sin.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (sin.f64 y))>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 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) (* 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) (* 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 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)>
#<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 (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (* -1 x))))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))>
#<alt (pow z 2)>
#<alt (+ (* x (+ z (* -1 z))) (pow z 2))>
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))>
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))>
#<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 (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<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 (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) (* 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 (+ x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 (+ x z))>
#<alt (+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z)))>
#<alt (+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))>
#<alt (+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ x (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 (+ (sin y) (* z (cos y))))>
#<alt (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y)))))>
#<alt (+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x))>
#<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 (- (sin y) (* z (cos y))))>
#<alt (+ (* -1 (/ x (pow (- (sin y) (* z (cos y))) 2))) (/ 1 (- (sin y) (* z (cos y)))))>
#<alt (+ (* x (- (/ x (pow (- (sin y) (* z (cos y))) 3)) (/ 1 (pow (- (sin y) (* z (cos y))) 2)))) (/ 1 (- (sin y) (* z (cos y)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (sin y) (* z (cos y))) 4))) (/ 1 (pow (- (sin y) (* z (cos y))) 3)))) (/ 1 (pow (- (sin y) (* z (cos y))) 2)))) (/ 1 (- (sin y) (* z (cos y)))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ (* z (cos y)) x)) (/ (sin y) x)) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2))) (/ (* z (cos y)) x))) (/ (sin y) x)) x)>
#<alt (/ (- (+ 1 (+ (/ (* z (cos y)) x) (/ (* (pow (- (sin y) (* z (cos y))) 2) (- (* z (cos y)) (sin y))) (pow x 3)))) (+ (/ (sin y) x) (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* z (cos y)) (sin y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) x)) (* z (cos y))) (sin y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (sin y) (* z (cos y))) 2) (- (* z (cos y)) (sin y))) x)) (* -1 (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))))) x)) (* z (cos y))) (sin y)) x)) 1) x))>
#<alt (/ 1 (- x z))>
#<alt (+ (* -1 (/ y (pow (- x z) 2))) (/ 1 (- x z)))>
#<alt (+ (* y (- (* y (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z)))>
#<alt (+ (* y (- (* y (- (+ (* y (- (+ (* 1/6 (/ 1 (pow (- x z) 2))) (* 1/2 (/ z (pow (- x z) 3)))) (+ (* -1/2 (/ z (pow (- x z) 3))) (/ 1 (pow (- x z) 4))))) (/ 1 (pow (- x z) 3))) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z)))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ x (sin y)))>
#<alt (+ (/ 1 (+ x (sin y))) (/ (* z (cos y)) (pow (+ x (sin y)) 2)))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (* -1 (/ (cos y) (pow (+ x (sin y)) 2))))) (/ 1 (+ x (sin y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4)) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (* -1 (/ (cos y) (pow (+ x (sin y)) 2))))) (/ 1 (+ x (sin y))))>
#<alt (/ -1 (* z (cos y)))>
#<alt (/ (- (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)>
#<alt (/ (- (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)>
#<alt (/ (- (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (sin y) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y))))))) z)>
#<alt (/ -1 (* z (cos y)))>
#<alt (* -1 (/ (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y)))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y)))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos 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))>
Calls

102 calls:

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

rewrite427.0ms (3.8%)

Memory
-11.3MiB live, 434.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 442×lower-fma.f32
5 440×lower-fma.f64
4 498×lower-/.f32
4 490×lower-/.f64
4 064×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020131
03693
115177
2120977
0830477
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 013
Calls
Call 1
Inputs
(*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(cos.f64 y)
(+.f64 x y)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(*.f64 (+.f64 z x) (-.f64 z x))
(+.f64 z x)
(-.f64 z x)
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(+.f64 x (sin.f64 y))
Outputs
#s(literal 1 binary64)
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.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 x (sin.f64 y)) (*.f64 (neg.f64 z) (neg.f64 (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))
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simplify614.0ms (5.4%)

Memory
0.8MiB live, 563.4MiB allocated
Algorithm
egg-herbie
Rules
9 708×lower-fma.f64
9 708×lower-fma.f32
4 190×lower-*.f64
4 190×lower-*.f32
3 956×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05054111
115163992
245553757
085623534
Stop Event
iter limit
node limit
Counts
408 → 376
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
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(sin y)
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(sin y)
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
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x
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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(/ 1 (* z (cos y)))
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(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)
(/ 1 (* z (cos y)))
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(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(/ 1 (+ x z))
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(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
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(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ (sin y) (* z (cos y))))
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(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)
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(* z (cos y))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y)))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(sin y)
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(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
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x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
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x
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(+ x (sin y))
(+ x (sin y))
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Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (+.f64 (/.f64 x (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 x (sin.f64 y)) (*.f64 z (*.f64 z (cos.f64 y)))) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) z)
(/ -1 (* z (cos y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))
(* -1 (/ (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y)))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y)))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 x (sin.f64 y)) (cos.f64 y)))) z) (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(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)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
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 y (*.f64 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 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))

eval384.0ms (3.4%)

Memory
1.2MiB live, 470.2MiB allocated
Compiler

Compiled 59 790 to 3 443 computations (94.2% saved)

prune396.0ms (3.5%)

Memory
8.3MiB live, 579.7MiB allocated
Pruning

50 alts after pruning (44 fresh and 6 done)

PrunedKeptTotal
New1 951311 982
Fresh61319
Picked325
Done044
Total1 960502 010
Accuracy
100.0%
Counts
2 010 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(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)
6.1%
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
39.1%
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
55.3%
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.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)))
73.7%
(fma.f64 (cos.f64 y) z (+.f64 x y))
53.1%
(fma.f64 z (/.f64 x z) z)
62.7%
(fma.f64 z (cos.f64 y) (sin.f64 y))
42.7%
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
30.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
32.6%
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
6.5%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
84.1%
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
54.8%
(fma.f64 x (/.f64 (sin.f64 y) x) x)
37.6%
(fma.f64 x (/.f64 y x) x)
51.2%
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
28.8%
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
10.7%
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
20.4%
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
29.4%
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (sin.f64 y) x))
28.0%
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
27.6%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
28.8%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
17.1%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
16.9%
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
17.9%
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
13.2%
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
14.3%
(/.f64 (*.f64 z z) (-.f64 z x))
16.7%
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
51.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
10.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
62.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
37.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
46.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
38.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
60.1%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
54.9%
(+.f64 (sin.f64 y) x)
30.0%
(+.f64 z y)
62.6%
(+.f64 z x)
37.6%
(+.f64 x y)
46.4%
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
51.0%
(*.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
17.2%
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
12.7%
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
17.8%
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
46.2%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
90.4%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
46.4%
(*.f64 z (cos.f64 y))
18.3%
(sin.f64 y)
Compiler

Compiled 1 528 to 858 computations (43.8% saved)

simplify374.0ms (3.3%)

Memory
21.5MiB live, 415.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x z))
cost-diff0
(-.f64 z x)
cost-diff1088
(/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
cost-diff1408
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x y))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 (+.f64 x (sin.f64 y)) z)
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))
cost-diff832
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
Rules
10 890×lower-fma.f64
10 890×lower-fma.f32
2 198×lower-*.f32
2 194×lower-*.f64
1 568×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020104
036110
161104
211592
325788
462386
5198486
6668086
0813785
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
z
(+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))
(cos.f64 y)
y
(/.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
(+.f64 z y)
z
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
x
y
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(-.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (+.f64 x z))
#s(literal 1 binary64)
(+.f64 x z)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
Outputs
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
z
(+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))
(cos.f64 y)
y
(/.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
(+.f64 z y)
z
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(+.f64 y x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(+.f64 z x)
(/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (-.f64 z x) (+.f64 z x))
(-.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (+.f64 x z))
(/.f64 #s(literal 1 binary64) (+.f64 z x))
#s(literal 1 binary64)
(+.f64 x z)
(+.f64 z x)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y

localize152.0ms (1.3%)

Memory
-18.3MiB live, 140.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 z (cos.f64 y))
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x z))
accuracy99.8%
(/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
accuracy49.9%
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
accuracy100.0%
(+.f64 z y)
accuracy100.0%
(+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))
accuracy100.0%
(+.f64 x (sin.f64 y))
accuracy99.9%
(/.f64 (+.f64 x (sin.f64 y)) z)
accuracy90.4%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
Samples
76.0ms255×0valid
1.0ms5exit
Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-cos: 21.0ms (46.3% of total)
ival-div: 9.0ms (19.8% of total)
ival-add: 5.0ms (11% of total)
ival-sin: 5.0ms (11% of total)
ival-mult: 3.0ms (6.6% of total)
ival-sub: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory
18.3MiB live, 56.8MiB allocated
Counts
15 → 384
Calls
Call 1
Inputs
#<alt (*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))>
#<alt (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))>
#<alt (cos.f64 y)>
#<alt (/.f64 (+.f64 x (sin.f64 y)) z)>
#<alt (+.f64 z y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x y))>
#<alt (+.f64 x y)>
#<alt (/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))>
#<alt (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))>
#<alt (-.f64 z x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x z))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (+.f64 x (sin.f64 y))>
#<alt (+.f64 x z)>
Outputs
#<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 (* z (+ 1 (/ x z)))>
#<alt (+ y (* z (+ 1 (/ x z))))>
#<alt (+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z))))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z))))>
#<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) (+ (/ 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) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))>
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))>
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))>
#<alt (* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))>
#<alt (* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))>
#<alt (+ 1 (/ x z))>
#<alt (+ 1 (+ (/ x z) (/ y z)))>
#<alt (+ 1 (+ (* y (+ (* -1/2 y) (/ 1 z))) (/ x z)))>
#<alt (+ 1 (+ (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z))) (/ x z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (/ (sin y) z))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (/ x z)>
#<alt (* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) z)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) z)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (cos y)>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<alt (+ (cos y) (+ (/ x z) (/ (sin y) z)))>
#<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) z)>
#<alt (+ (/ x z) (/ (sin y) z))>
#<alt (+ (/ x z) (/ (sin y) z))>
#<alt (+ (/ x z) (/ (sin y) z))>
#<alt (/ x z)>
#<alt (* x (+ (/ 1 z) (/ (sin y) (* x z))))>
#<alt (* x (+ (/ 1 z) (/ (sin y) (* x z))))>
#<alt (* x (+ (/ 1 z) (/ (sin y) (* x z))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))>
#<alt (/ x z)>
#<alt (+ (/ x z) (/ y z))>
#<alt (+ (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) (/ x z))>
#<alt (+ (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) (/ x z))>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<alt (/ (+ x (sin y)) z)>
#<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 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 (/ 1 y)>
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ y x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ x y))) y)>
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ x y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) 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)>
#<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 (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (* -1 x))))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))>
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))>
#<alt (pow z 2)>
#<alt (+ (* x (+ z (* -1 z))) (pow z 2))>
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))>
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<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 (/ (pow z 2) (pow x 2))) (/ z x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ z x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) 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 (/ (pow x 2) (pow z 2))) (/ x z)) z)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ x z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) 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 (* 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 (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 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>
#<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)))>
Calls

96 calls:

TimeVariablePointExpression
26.0ms
x
@0
(/ (+ x (sin y)) z)
2.0ms
x
@inf
(/ 1 (+ x z))
1.0ms
y
@inf
(* z (+ (cos y) (/ (+ x (sin y)) z)))
1.0ms
z
@0
(* z (+ (cos y) (/ (+ x (sin y)) z)))
1.0ms
y
@-inf
(* z (+ (cos y) (/ (+ x (sin y)) z)))

rewrite422.0ms (3.7%)

Memory
-17.0MiB live, 740.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 182×lower-/.f32
5 170×lower-/.f64
4 114×lower-*.f32
4 110×lower-*.f64
3 118×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02087
03693
116271
2127971
0829770
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 183
Calls
Call 1
Inputs
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))
(cos.f64 y)
(/.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 z y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(-.f64 z x)
(/.f64 #s(literal 1 binary64) (+.f64 x z))
(*.f64 z (cos.f64 y))
(+.f64 x (sin.f64 y))
(+.f64 x z)
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) (*.f64 z (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)))))
(fma.f64 z (cos.f64 y) (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 (+.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (+.f64 x (sin.f64 y)) z) z (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (+.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (+.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (neg.f64 (+.f64 x (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (+.f64 x (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 (+.f64 x (sin.f64 y))) z) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 x (sin.f64 y))) z) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z z) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z (/.f64 z (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 (/.f64 z (/.f64 z (-.f64 (*.f64 x x) (-.f64 #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 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 z (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 z (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (neg.f64 (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) (/.f64 z z) (*.f64 z (cos.f64 y)))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))))
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(*.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 z x))) (/.f64 (+.f64 z x) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 z x) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 x z)))) (/.f64 (+.f64 z x) (-.f64 x z)))
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(*.f64 (/.f64 (+.f64 z x) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 x z)))) (/.f64 (-.f64 z x) (-.f64 x z)))
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(*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z x)) (neg.f64 (*.f64 (-.f64 z x) (+.f64 z x))))
(*.f64 (/.f64 (neg.f64 (-.f64 z x)) (-.f64 z x)) (neg.f64 (+.f64 z x)))
(*.f64 (/.f64 (neg.f64 (-.f64 z x)) (-.f64 z x)) (/.f64 (neg.f64 (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(*.f64 (/.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)) (-.f64 z x)) (/.f64 (neg.f64 (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(*.f64 (/.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (+.f64 z x) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 z x)) (-.f64 z x)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 x z))) (-.f64 z x)) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(*.f64 (/.f64 (-.f64 z x) (pow.f64 (+.f64 z x) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (pow.f64 (+.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (/.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (-.f64 z x)))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (/.f64 (-.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 (neg.f64 (-.f64 z x)) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x))))))
(*.f64 (/.f64 (neg.f64 (-.f64 z x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (-.f64 z x)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 x z)))) (/.f64 (neg.f64 (+.f64 z x)) (-.f64 x z)))
(*.f64 (/.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x))))))
(*.f64 (/.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 x z)))) (/.f64 (neg.f64 (+.f64 z x)) (-.f64 x z)))
(*.f64 (/.f64 (+.f64 z x) (/.f64 (-.f64 z x) (+.f64 z x))) (/.f64 (-.f64 z x) (+.f64 z x)))
(*.f64 (/.f64 (neg.f64 (-.f64 z x)) (/.f64 (-.f64 z x) (+.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (+.f64 z x)))
(*.f64 (/.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)) (/.f64 (-.f64 z x) (+.f64 z x))) (/.f64 (neg.f64 (+.f64 z x)) (+.f64 z x)))
(*.f64 (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (/.f64 (-.f64 z x) (+.f64 z x))) (/.f64 (-.f64 z x) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (+.f64 z x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (+.f64 z x)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (+.f64 z x)))) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
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(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (-.f64 z x) (neg.f64 (-.f64 z x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 #s(literal -1 binary64) (+.f64 z x))))

simplify383.0ms (3.4%)

Memory
-2.9MiB live, 830.6MiB allocated
Algorithm
egg-herbie
Rules
9 776×lower-fma.f64
9 776×lower-fma.f32
4 530×lower-+.f64
4 530×lower-+.f32
3 942×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04462964
113262823
235882735
082572588
Stop Event
iter limit
node limit
Counts
384 → 345
Calls
Call 1
Inputs
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ 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)))))
(* z (+ 1 (/ x z)))
(+ y (* z (+ 1 (/ x z))))
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z))))
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x z))))
(* 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) (+ (/ x z) (/ (sin y) z))))
(* 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) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (/ (sin y) z)))
(+ x (* z (+ (cos y) (/ (sin y) z))))
(+ x (* z (+ (cos y) (/ (sin y) z))))
(+ x (* z (+ (cos y) (/ (sin y) z))))
x
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))
x
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))
(+ 1 (/ x z))
(+ 1 (+ (/ x z) (/ y z)))
(+ 1 (+ (* y (+ (* -1/2 y) (/ 1 z))) (/ x z)))
(+ 1 (+ (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z))) (/ x z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (/ (sin y) z))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(/ x z)
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(/ x z)
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))
(/ (+ x (sin y)) z)
(/ (+ x (+ (sin y) (* z (cos y)))) z)
(/ (+ x (+ (sin y) (* z (cos y)))) z)
(/ (+ x (+ (sin y) (* z (cos y)))) z)
(cos y)
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(cos y)
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(/ (sin y) z)
(+ (/ x z) (/ (sin y) z))
(+ (/ x z) (/ (sin y) z))
(+ (/ x z) (/ (sin y) z))
(/ x z)
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(/ x z)
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(/ x z)
(+ (/ x z) (/ y z))
(+ (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) (/ x z))
(+ (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) (/ x z))
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
(/ (+ x (sin y)) z)
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
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)))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) 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)
(+ 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)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* z (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))
(pow z 2)
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))
(pow z 2)
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))
(pow z 2)
(+ (* x (+ z (* -1 z))) (pow z 2))
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1))
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(/ 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 (/ (pow z 2) (pow x 2))) (/ z x)) x)
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x)
(/ 1 x)
(* -1 (/ (- (/ z x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) 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 (/ (pow x 2) (pow z 2))) (/ x z)) z)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z)
(/ 1 z)
(* -1 (/ (- (/ x z) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) 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))
(* 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))
(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))
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
(+ 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)))
Outputs
(+ 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))))
(*.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 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(+ y (* z (+ 1 (/ x z))))
(+.f64 y (fma.f64 z (/.f64 x z) z))
(+ (* y (+ 1 (* -1/2 (* y z)))) (* z (+ 1 (/ x z))))
(+.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 x z) #s(literal 1 binary64)))))
(+ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) (* z (+ 1 (/ x 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)) (fma.f64 z (/.f64 x z) 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) (+ (/ 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) (+ (/ 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) (/ (sin y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(+ x (* z (+ (cos y) (/ (sin y) z))))
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)
(+ x (* z (+ (cos y) (/ (sin y) z))))
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)
(+ x (* z (+ (cos y) (/ (sin y) z))))
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)
x
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))
(*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)))
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))
(*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)))
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))
(*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))
(*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))
(*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))
(*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)))
(+ 1 (/ x z))
(+.f64 (/.f64 x z) #s(literal 1 binary64))
(+ 1 (+ (/ x z) (/ y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))
(+ 1 (+ (* y (+ (* -1/2 y) (/ 1 z))) (/ x z)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(+ 1 (+ (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z))) (/ x z)))
(fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (/ (sin y) z))
(+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(/ x z)
(/.f64 x z)
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(fma.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z))) (/.f64 x z))
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(fma.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z))) (/.f64 x z))
(* x (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(fma.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z))) (/.f64 x z))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) x (/.f64 x z))
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) x (/.f64 x z))
(* -1 (* x (- (* -1 (/ (+ (cos y) (/ (sin y) z)) x)) (/ 1 z))))
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) x (/.f64 x z))
(/ (+ x (sin y)) z)
(/.f64 (+.f64 x (sin.f64 y)) z)
(/ (+ x (+ (sin y) (* z (cos y)))) z)
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) z)
(/ (+ x (+ (sin y) (* z (cos y)))) z)
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) z)
(/ (+ x (+ (sin y) (* z (cos y)))) z)
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(cos y)
(cos.f64 y)
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
(+ (cos y) (+ (/ x z) (/ (sin y) z)))
(+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))
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 y (*.f64 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)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(+ (/ x z) (/ (sin y) z))
(+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))
(+ (/ x z) (/ (sin y) z))
(+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))
(+ (/ x z) (/ (sin y) z))
(+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))
(/ x z)
(/.f64 x z)
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 x z)) (/.f64 x z))
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 x z)) (/.f64 x z))
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 x z)) (/.f64 x z))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 x z)) (/.f64 x z))
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 x z)) (/.f64 x z))
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 x z)) (/.f64 x z))
(/ x z)
(/.f64 x z)
(+ (/ x z) (/ y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))
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(* 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))
(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)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
x
(+ x y)
(+.f64 x y)
(+ 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 y (*.f64 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 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))
z
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
x
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(fma.f64 x (/.f64 z x) x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(fma.f64 x (/.f64 z x) x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(fma.f64 x (/.f64 z x) x)
x
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
z
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)

eval229.0ms (2%)

Memory
45.3MiB live, 630.0MiB allocated
Compiler

Compiled 38 703 to 4 057 computations (89.5% saved)

prune313.0ms (2.8%)

Memory
-17.1MiB live, 782.5MiB allocated
Pruning

69 alts after pruning (61 fresh and 8 done)

PrunedKeptTotal
New1 647331 680
Fresh112839
Picked325
Done066
Total1 661691 730
Accuracy
100.0%
Counts
1 730 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(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)
6.1%
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
38.1%
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
83.2%
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
55.3%
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
25.7%
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
25.9%
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
99.9%
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
73.7%
(fma.f64 (cos.f64 y) z (+.f64 x y))
25.8%
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
62.7%
(fma.f64 z (cos.f64 y) (sin.f64 y))
42.7%
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
30.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
32.6%
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
20.5%
(fma.f64 y (/.f64 z y) y)
6.5%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
84.1%
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
54.8%
(fma.f64 x (/.f64 (sin.f64 y) x) x)
37.6%
(fma.f64 x (/.f64 y x) x)
51.2%
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
28.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
17.1%
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
15.0%
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
28.7%
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
20.4%
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
16.9%
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
28.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
29.4%
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (sin.f64 y) x))
28.0%
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
13.3%
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
61.9%
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
17.9%
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
27.6%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
17.1%
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
16.9%
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
13.2%
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
14.3%
(/.f64 (*.f64 z z) (-.f64 z x))
16.7%
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
90.3%
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))))
10.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
30.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
46.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
6.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
38.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
60.1%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
10.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
54.9%
(+.f64 (sin.f64 y) x)
30.0%
(+.f64 z y)
62.6%
(+.f64 z x)
37.6%
(+.f64 x y)
46.4%
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
51.0%
(*.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
16.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
17.2%
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
17.3%
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
12.7%
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
17.9%
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
50.5%
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
80.9%
(*.f64 z (fma.f64 (/.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) x (/.f64 x z)))
53.3%
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
25.9%
(*.f64 z (fma.f64 y (*.f64 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)))
25.7%
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
46.2%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
29.1%
(*.f64 z (/.f64 x z))
73.4%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
46.4%
(*.f64 z (cos.f64 y))
26.6%
(*.f64 z #s(literal 1 binary64))
18.3%
(sin.f64 y)
Compiler

Compiled 2 653 to 968 computations (63.5% saved)

regimes178.0ms (1.6%)

Memory
-7.1MiB live, 251.5MiB allocated
Counts
103 → 1
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
(fma.f64 (cos.f64 y) z (+.f64 x y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (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)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))))
(*.f64 z (fma.f64 (/.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) x (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.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 #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 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
(/.f64 (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))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (fma.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 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (fma.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 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
Calls

4 calls:

60.0ms
x
49.0ms
y
34.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
30.0ms
z
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)

regimes108.0ms (1%)

Memory
-16.4MiB live, 214.8MiB allocated
Counts
81 → 3
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
(fma.f64 (cos.f64 y) z (+.f64 x y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
Outputs
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
Calls

4 calls:

27.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
25.0ms
y
25.0ms
x
25.0ms
z
Results
AccuracySegmentsBranch
93.0%4x
88.5%3y
99.6%3z
95.1%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes77.0ms (0.7%)

Memory
14.9MiB live, 174.4MiB allocated
Counts
78 → 4
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
(fma.f64 (cos.f64 y) z (+.f64 x y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
Outputs
(*.f64 z (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 z (cos.f64 y))
(fma.f64 (cos.f64 y) z (+.f64 x y))
Calls

3 calls:

26.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
23.0ms
z
23.0ms
x
Results
AccuracySegmentsBranch
82.1%2x
87.3%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
92.3%4z
Compiler

Compiled 20 to 14 computations (30% saved)

regimes73.0ms (0.6%)

Memory
24.1MiB live, 182.4MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
(fma.f64 (cos.f64 y) z (+.f64 x y))
Outputs
(fma.f64 (cos.f64 y) z (+.f64 x y))
(+.f64 (sin.f64 y) x)
(fma.f64 (cos.f64 y) z (+.f64 x y))
Calls

3 calls:

25.0ms
y
22.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
z
Results
AccuracySegmentsBranch
86.2%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
82.6%3y
86.1%3z
Compiler

Compiled 20 to 14 computations (30% saved)

regimes31.0ms (0.3%)

Memory
-45.3MiB live, 81.8MiB allocated
Counts
74 → 4
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
Outputs
(*.f64 z (cos.f64 y))
(+.f64 z x)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
Calls

1 calls:

24.0ms
z
Results
AccuracySegmentsBranch
86.1%4z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes96.0ms (0.9%)

Memory
26.6MiB live, 257.3MiB allocated
Counts
72 → 3
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
(sin.f64 y)
(+.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:

25.0ms
x
24.0ms
y
22.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
z
Results
AccuracySegmentsBranch
78.5%3y
78.9%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
65.3%2x
76.3%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes72.0ms (0.6%)

Memory
18.4MiB live, 133.7MiB allocated
Counts
71 → 5
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
(sin.f64 y)
Outputs
(+.f64 z x)
(sin.f64 y)
(+.f64 y (+.f64 z x))
(sin.f64 y)
(+.f64 z x)
Calls

3 calls:

25.0ms
y
22.0ms
z
22.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
78.1%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
62.6%1z
70.0%4y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes53.0ms (0.5%)

Memory
5.4MiB live, 80.7MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z 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))
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(*.f64 z (fma.f64 y (*.f64 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)))
(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)
(/.f64 (*.f64 (fma.f64 z (/.f64 x z) z) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) z)) (-.f64 z x))
(+.f64 (fma.f64 (fma.f64 (*.f64 y 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) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z (/.f64 (*.f64 x z) z))) (-.f64 z x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(fma.f64 (*.f64 y y) (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))
(/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) (-.f64 z x))
(fma.f64 (/.f64 z (-.f64 z x)) (+.f64 z x) (neg.f64 (/.f64 (*.f64 x (+.f64 z x)) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(*.f64 z (fma.f64 (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (-.f64 z x))) (-.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (-.f64 x z)))
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 x z) (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 x z))) (-.f64 z x))
Outputs
(+.f64 z x)
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+.f64 z x)
Calls

2 calls:

28.0ms
y
22.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
67.2%3y
65.3%2(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes15.0ms (0.1%)

Memory
-13.0MiB live, 23.2MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (/.f64 y 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 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)
(/.f64 (*.f64 z z) (-.f64 z x))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
Calls

2 calls:

8.0ms
y
5.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
65.3%2(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
66.7%3y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 z x)
(+.f64 z y)
(*.f64 z #s(literal 1 binary64))
Outputs
(+.f64 z x)
Calls

3 calls:

2.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
62.6%1y
62.6%1x
62.6%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes8.0ms (0.1%)

Memory
-22.3MiB live, 14.4MiB 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:

4.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
37.6%1z
37.6%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
37.6%1y
37.6%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch31.0ms (0.3%)

Memory
21.6MiB live, 57.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.0006763573598419899
0.008617300943571236
14.0ms
-9.950241437072251e+27
-6.0458073102175314e+26
Samples
18.0ms208×0valid
Compiler

Compiled 327 to 235 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 5.0ms (38.8% of total)
ival-cos: 4.0ms (31% of total)
ival-add: 2.0ms (15.5% of total)
ival-mult: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch85.0ms (0.8%)

Memory
4.3MiB live, 124.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
5.29847836486502e+90
1.7939916471727143e+104
21.0ms
216906163.94881776
69781330368407.56
39.0ms
-3.313762528701779e+193
-7.931041537156274e+173
Samples
56.0ms479×0valid
0.0ms2valid
Compiler

Compiled 605 to 444 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sin: 10.0ms (37.4% of total)
ival-cos: 9.0ms (33.6% of total)
ival-add: 4.0ms (15% of total)
ival-mult: 3.0ms (11.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory
-5.9MiB live, 74.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.4567093537102226e-15
0.0006763573598419899
22.0ms
-3.7524041432238885e-48
-4.923793079546856e-59
Samples
26.0ms320×0valid
Compiler

Compiled 395 to 274 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 7.0ms (38.2% of total)
ival-cos: 6.0ms (32.8% of total)
ival-add: 3.0ms (16.4% of total)
ival-mult: 2.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-0.9MiB live, 37.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.008617300943571236
0.6251433919365297
4.0ms
-3.7524041432238885e-48
-4.923793079546856e-59
1.0ms
-3.313762528701779e+193
-7.931041537156274e+173
Samples
14.0ms144×0valid
Compiler

Compiled 442 to 329 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 4.0ms (36.6% of total)
ival-cos: 3.0ms (27.5% of total)
ival-sin: 3.0ms (27.5% of total)
ival-mult: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
-17.2MiB live, 59.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
980078.70461222
11543124445.349058
15.0ms
-37.121281437839535
-0.004651867625069663
Samples
24.0ms256×0valid
Compiler

Compiled 383 to 270 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (40.7% of total)
ival-cos: 5.0ms (33.9% of total)
ival-add: 2.0ms (13.6% of total)
ival-mult: 2.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9880659043236073
735.2573418657835
0.0ms
8.15770801246526e-28
2.2434891890594783e-16
0.0ms
-0.0064736691507640285
-9.228369772116117e-11
0.0ms
-442111.5431171143
-0.9970997722156283
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch51.0ms (0.4%)

Memory
-2.1MiB live, 78.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
1.7556772381648713e+31
1.5875754960013206e+42
19.0ms
-2.248982477962326e+25
-2.2005110317799134e+22
Samples
34.0ms288×0valid
Compiler

Compiled 411 to 284 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 10.0ms (42.7% of total)
ival-cos: 9.0ms (38.4% of total)
ival-add: 2.0ms (8.5% of total)
ival-mult: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.714461077413821e+40
-1.4211549348003475e+29
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Rules
16×+-commutative_binary64
*-commutative_binary64
1-exp_binary64
*-rgt-identity_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079265
198265
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -610000000000000027346862080 binary64)) (*.f64 z (+.f64 (cos.f64 y) (/.f64 x z))) (if (<=.f64 z #s(literal 1224979098644775/144115188075855872 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64))) (*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))))
(if (<=.f64 z #s(literal -68000000000000005005444468684250135428594163509636322190152811111176143068567071509770532264913550290816347080880213097214240134151959699658424763890203929931079825885673721692160 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 31000000000000 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64))) (if (<=.f64 z #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (cos.f64 y) z (+.f64 x y)))))
(if (<=.f64 z #s(literal -6911119140749065/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (fma.f64 (cos.f64 y) z (+.f64 x y)) (if (<=.f64 z #s(literal 4958484807013127/1180591620717411303424 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z (+.f64 x y))))
(if (<=.f64 z #s(literal -68000000000000005005444468684250135428594163509636322190152811111176143068567071509770532264913550290816347080880213097214240134151959699658424763890203929931079825885673721692160 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -1875875195346175/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 3242591731706757/9007199254740992 binary64)) (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -7782220156096217/144115188075855872 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1000000 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 -400000 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/1152921504606846976 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 348449143727041/348449143727040986586495598010130648530944 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 y #s(literal -57999999999999995805696 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 17599999999999999899609434423296 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -40000000000000001215144113708014667563008 binary64)) (+.f64 z x) (+.f64 y (+.f64 z x)))
(+.f64 z x)
(+.f64 x y)
Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -610000000000000027346862080 binary64)) (*.f64 z (+.f64 (cos.f64 y) (/.f64 x z))) (if (<=.f64 z #s(literal 1224979098644775/144115188075855872 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64))) (*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))))
(if (<=.f64 z #s(literal -610000000000000027346862080 binary64)) (*.f64 z (+.f64 (cos.f64 y) (/.f64 x z))) (if (<=.f64 z #s(literal 1224979098644775/144115188075855872 binary64)) (+.f64 z (+.f64 x (sin.f64 y))) (*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))))
(if (<=.f64 z #s(literal -68000000000000005005444468684250135428594163509636322190152811111176143068567071509770532264913550290816347080880213097214240134151959699658424763890203929931079825885673721692160 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 31000000000000 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64))) (if (<=.f64 z #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (cos.f64 y) z (+.f64 x y)))))
(if (<=.f64 z #s(literal -68000000000000005005444468684250135428594163509636322190152811111176143068567071509770532264913550290816347080880213097214240134151959699658424763890203929931079825885673721692160 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 31000000000000 binary64)) (+.f64 z (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 y x)))))
(if (<=.f64 z #s(literal -6911119140749065/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (fma.f64 (cos.f64 y) z (+.f64 x y)) (if (<=.f64 z #s(literal 4958484807013127/1180591620717411303424 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z (+.f64 x y))))
(if (<=.f64 z #s(literal -6911119140749065/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (fma.f64 (cos.f64 y) z (+.f64 y x)) (if (<=.f64 z #s(literal 4958484807013127/1180591620717411303424 binary64)) (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) z (+.f64 y x))))
(if (<=.f64 z #s(literal -68000000000000005005444468684250135428594163509636322190152811111176143068567071509770532264913550290816347080880213097214240134151959699658424763890203929931079825885673721692160 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -1875875195346175/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 3242591731706757/9007199254740992 binary64)) (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -68000000000000005005444468684250135428594163509636322190152811111176143068567071509770532264913550290816347080880213097214240134151959699658424763890203929931079825885673721692160 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -1875875195346175/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 3242591731706757/9007199254740992 binary64)) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -7782220156096217/144115188075855872 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1000000 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 -7782220156096217/144115188075855872 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1000000 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 -400000 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/1152921504606846976 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 348449143727041/348449143727040986586495598010130648530944 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 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal -400000 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal -5764607523034235/1152921504606846976 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 348449143727041/348449143727040986586495598010130648530944 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 y #s(literal -57999999999999995805696 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 17599999999999999899609434423296 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -40000000000000001215144113708014667563008 binary64)) (+.f64 z x) (+.f64 y (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal -40000000000000001215144113708014667563008 binary64)) (+.f64 z x) (+.f64 y (+.f64 z x)))
(+.f64 z x)
(+.f64 x y)
(+.f64 y x)

soundness1.4s (12.1%)

Memory
15.5MiB live, 773.8MiB allocated
Rules
11 712×lower-fma.f64
11 712×lower-fma.f32
9 776×lower-fma.f64
9 776×lower-fma.f32
9 102×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04462964
113262823
235882735
082572588
04644207
114814141
248204089
088573788
0109647
1310643
2852633
32193631
44247631
57326631
08046578
0821
01321
14321
236221
3554821
0832020
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 513 to 240 computations (53.2% saved)

preprocess109.0ms (1%)

Memory
-50.7MiB live, 168.5MiB allocated
Compiler

Compiled 560 to 170 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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