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

Time bar (total: 11.6s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (12.2%)

Memory
27.3MiB live, 1 578.6MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 773.0ms
ival-mult: 271.0ms (35.1% of total)
ival-cos: 247.0ms (32% of total)
ival-sin: 209.0ms (27.1% of total)
ival-add: 37.0ms (4.8% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess47.0ms (0.4%)

Memory
-12.1MiB live, 66.5MiB allocated
Algorithm
2×egg-herbie
Rules
164×unsub-neg
162×associate-*r*
148×associate-*l*
136×distribute-lft-neg-in
108×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
18190
214190
332390
448890
572890
689890
797790
8105390
9111990
10113390
11113890
12114090
089
1119
0118
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
Outputs
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Call 2
Inputs
(+ (* x (sin y)) (* z (cos y)))
(+ (* (neg x) (sin y)) (* z (cos y)))
(+ (* x (sin (neg y))) (* z (cos (neg y))))
(+ (* x (sin y)) (* (neg z) (cos y)))
(neg (+ (* (neg x) (sin y)) (* z (cos y))))
(neg (+ (* x (sin (neg y))) (* z (cos (neg y)))))
(neg (+ (* x (sin y)) (* (neg z) (cos y))))
(+ (* y (sin x)) (* z (cos x)))
(+ (* z (sin y)) (* x (cos y)))
(+ (* x (sin z)) (* y (cos z)))
Outputs
(+ (* x (sin y)) (* z (cos y)))
(+ (* (neg x) (sin y)) (* z (cos y)))
(- (* z (cos y)) (* x (sin y)))
(+ (* x (sin (neg y))) (* z (cos (neg y))))
(- (* z (cos y)) (* x (sin y)))
(+ (* x (sin y)) (* (neg z) (cos y)))
(- (* x (sin y)) (* z (cos y)))
(neg (+ (* (neg x) (sin y)) (* z (cos y))))
(- (* x (sin y)) (* z (cos y)))
(neg (+ (* x (sin (neg y))) (* z (cos (neg y)))))
(- (* x (sin y)) (* z (cos y)))
(neg (+ (* x (sin y)) (* (neg z) (cos y))))
(- (* z (cos y)) (* x (sin y)))
(+ (* y (sin x)) (* z (cos x)))
(+ (* z (sin y)) (* x (cos y)))
(+ (* (sin y) z) (* x (cos y)))
(+ (* x (sin z)) (* y (cos z)))

explain106.0ms (0.9%)

Memory
3.2MiB live, 241.6MiB 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
54.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sin: 14.0ms (38.9% of total)
ival-cos: 11.0ms (30.6% of total)
ival-mult: 7.0ms (19.5% of total)
ival-add: 3.0ms (8.3% 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
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
1×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-diff0
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
8×accelerator-lowering-fma.f32
8×accelerator-lowering-fma.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11124
01123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
x
(sin y)
y
(* z (cos y))
z
(cos y)
Outputs
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)

localize51.0ms (0.4%)

Memory
-10.6MiB live, 66.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓accuracy99.8%
(*.f64 z (cos.f64 y))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
Samples
42.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (34.7% of total)
ival-cos: 5.0ms (28.9% of total)
ival-add: 3.0ms (17.3% of total)
ival-mult: 3.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (* z (cos y))>
Outputs
#<alt (* 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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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 (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 (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<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))>
Calls

24 calls:

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

rewrite555.0ms (4.8%)

Memory
-18.8MiB live, 982.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 256×accelerator-lowering-fma.f32
11 256×accelerator-lowering-fma.f64
4 178×*-lowering-*.f32
4 178×*-lowering-*.f64
3 938×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12419
218019
3185319
0821318
Stop Event
1×iter limit
1×node limit
Counts
4 → 175
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(sin y)
(* z (cos y))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.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 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.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 (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.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 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.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 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))

simplify413.0ms (3.6%)

Memory
18.4MiB live, 963.2MiB allocated
Algorithm
1×egg-herbie
Rules
14 960×accelerator-lowering-fma.f32
14 960×accelerator-lowering-fma.f64
4 098×*-lowering-*.f32
4 098×*-lowering-*.f64
2 688×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096626
1316622
2937612
32505606
44416606
57325606
08407556
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* 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))
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
z
(+ z (* x y))
(+.f64 z (*.f64 y x))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 z (cos.f64 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))
(* 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 y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 x (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(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)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+.f64 z (*.f64 (*.f64 z (*.f64 y y)) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 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))

eval40.0ms (0.3%)

Memory
8.3MiB live, 91.5MiB allocated
Compiler

Compiled 10 104 to 569 computations (94.4% saved)

prune51.0ms (0.4%)

Memory
-6.6MiB live, 147.8MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New25417271
Fresh000
Picked011
Done000
Total25418272
Accuracy
99.9%
Counts
272 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
14.3%
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
47.4%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
46.6%
(+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log.f64 (*.f64 z (cos.f64 y)))))
77.7%
(+.f64 (*.f64 x (sin.f64 y)) z)
49.4%
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
49.0%
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
51.1%
(+.f64 z (*.f64 y x))
16.3%
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
▶31.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
14.3%
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))))
59.9%
(*.f64 z (cos.f64 y))
▶41.6%
(*.f64 x (sin.f64 y))
▶38.8%
z
Compiler

Compiled 936 to 496 computations (47% saved)

simplify321.0ms (2.8%)

Memory
2.5MiB live, 618.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓cost-diff0
(+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff6272
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff6272
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
Rules
6 924×accelerator-lowering-fma.f32
6 924×accelerator-lowering-fma.f64
4 050×*-lowering-*.f32
4 050×*-lowering-*.f64
2 118×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030263
178261
2217261
3847261
41325261
52178261
64154261
75922261
08082251
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sin y) x) (* z (cos y)))
(sin y)
y
x
(* z (cos y))
z
(cos y)
z
(* x (sin y))
x
(sin y)
y
(+ (* (cos y) z) (* x (sin y)))
(cos y)
y
z
(* x (sin y))
x
(sin y)
(* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
(/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y)))))))
1
(+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))
(* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x x)
x
(- 1/2 (* 1/2 (cos (* 2 y))))
1/2
(* 1/2 (cos (* 2 y)))
(cos (* 2 y))
(* 2 y)
2
y
(* z (* (cos y) (- (* z (cos y)) (* x (sin y)))))
z
(* (cos y) (- (* z (cos y)) (* x (sin y))))
(cos y)
(- (* z (cos y)) (* x (sin y)))
(* z (cos y))
(* x (sin y))
(sin y)
(+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3))
(pow (* x (sin y)) 3)
3
(pow (* z (cos y)) 3)
Outputs
(+ (* (sin y) x) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
y
x
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
z
(* x (sin y))
(*.f64 (sin.f64 y) x)
x
(sin y)
(sin.f64 y)
y
(+ (* (cos y) z) (* x (sin y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(cos y)
(cos.f64 y)
y
z
(* x (sin y))
(*.f64 (sin.f64 y) x)
x
(sin y)
(sin.f64 y)
(* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y)))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(* x x)
(*.f64 x x)
x
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
y
(* z (* (cos y) (- (* z (cos y)) (* x (sin y)))))
(*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
z
(* (cos y) (- (* z (cos y)) (* x (sin y))))
(*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(cos y)
(cos.f64 y)
(- (* z (cos y)) (* x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))
(pow (* x (sin y)) 3)
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (* z (cos y)) 3)
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))

localize204.0ms (1.8%)

Memory
-5.7MiB live, 259.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy97.5%
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))
✓accuracy87.3%
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓accuracy75.6%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))
✓accuracy38.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓accuracy99.8%
(*.f64 z (cos.f64 y))
Samples
64.0ms135×0valid
49.0ms57×2valid
38.0ms62×1valid
2.0ms2×3valid
Compiler

Compiled 263 to 32 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-cos: 48.0ms (41.2% of total)
ival-mult: 24.0ms (20.6% of total)
ival-sin: 13.0ms (11.2% of total)
ival-pow: 11.0ms (9.4% of total)
adjust: 7.0ms (6% of total)
ival-add: 7.0ms (6% of total)
ival-sub: 4.0ms (3.4% of total)
ival-div: 3.0ms (2.6% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
5.1MiB live, 89.2MiB allocated
Counts
12 → 324
Calls
Call 1
Inputs
#<alt (+ (* (sin y) x) (* z (cos y)))>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (* x (sin y))>
#<alt (+ (* (cos y) z) (* x (sin y)))>
#<alt (* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))>
#<alt (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y)))))))>
#<alt (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))>
#<alt (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (* 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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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 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)>
#<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 (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<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 (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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 (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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (* x (- (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (/ (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* z (cos y)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (cos y)))>
#<alt (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (pow x 2))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))>
#<alt (* x (- (+ (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow x 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 3) (* (pow (cos y) 3) (pow (sin y) 4))) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))))))>
#<alt (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* -1 (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 3) (* (pow (cos y) 3) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) x)) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) x)) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -3/2 z) (* y (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))>
#<alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (- (* z (- (* z (- (/ (pow (cos y) 3) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow (cos y) 3) (pow (sin y) 4)) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z))))>
#<alt (* z (- (+ (cos y) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))) (* (pow z 3) (cos y))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))))))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z)))))>
#<alt (/ 1 (* (pow z 2) (pow (cos y) 2)))>
#<alt (+ (/ 1 (* (pow z 2) (pow (cos y) 2))) (/ (* x (sin y)) (* (pow z 3) (pow (cos y) 3))))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (cos y) 4)))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 4) (pow (cos y) 4))))))) (* -1 (/ (sin y) (* (pow z 3) (pow (cos y) 3)))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (cos y) 4)))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 4) (pow (cos y) 4))))))) (* z (cos y)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 5) (pow (cos y) 5)))))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (cos y) 4))))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 4) (pow (cos y) 4))))))) (* -1 (/ (sin y) (* (pow z 3) (pow (cos y) 3)))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))>
#<alt (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (pow x 2))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (pow x 3))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (pow x 2))>
#<alt (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* z (* (cos y) (sin y))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) x)) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (/ (* z (* (cos y) (sin y))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) x)) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))>
#<alt (/ 1 (pow z 2))>
#<alt (+ (/ 1 (pow z 2)) (/ (* x y) (pow z 3)))>
#<alt (+ (* y (- (* y (- (/ 1 (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))))) (* -1 (/ x (pow z 3))))) (/ 1 (pow z 2)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (/ 1 (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))))) z)) (+ (* 1/6 (/ x (pow z 3))) (+ (* 1/2 (/ x (pow z 3))) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 5))))))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))))) (* -1 (/ x (pow z 3))))) (/ 1 (pow z 2)))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (sin y))) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (sin y)) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (/ (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow (cos y) 3) (sin y)) (* (pow x 5) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (sin y)) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (* (pow z 2) (pow (cos y) 2)))>
#<alt (/ (+ (/ 1 (pow (cos y) 2)) (/ (* x (sin y)) (* z (pow (cos y) 3)))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))) (pow z 2))) (/ 1 (pow (cos y) 2))) (* -1 (/ (* x (sin y)) (* z (pow (cos y) 3))))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 5))) (pow z 3))) (/ 1 (pow (cos y) 2))) (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 3)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4)))))) (pow z 2))>
#<alt (/ 1 (* (pow z 2) (pow (cos y) 2)))>
#<alt (/ (+ (/ 1 (pow (cos y) 2)) (/ (* x (sin y)) (* z (pow (cos y) 3)))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 4)))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 4)))) (/ (* x (sin y)) (pow (cos y) 3))) z)) (/ 1 (pow (cos y) 2))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))))) (* z (cos y)))) (* -1 (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 5))))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4)))) z)) (/ (* x (sin y)) (pow (cos y) 3))) z)) (/ 1 (pow (cos y) 2))) (pow z 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (pow x 2))))) (pow z 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow x 2)))))) (pow z 2))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<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 (* 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 (* (pow z 3) (pow (cos y) 3))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (* (pow x 3) (pow (sin y) 3))>
#<alt (* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))>
#<alt (* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))>
#<alt (* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))>
#<alt (* (pow x 3) (pow (sin y) 3))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))>
#<alt (pow z 3)>
#<alt (+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3))>
#<alt (+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow x 3) y))) (pow z 3))>
#<alt (+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* y (+ (* 7/8 (* y (pow z 3))) (pow x 3))))) (pow z 3))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (* (pow x 3) (pow (sin y) 3))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))>
#<alt (* (pow z 3) (pow (cos y) 3))>
#<alt (* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))>
#<alt (* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))>
#<alt (* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))>
#<alt (* (pow z 3) (pow (cos y) 3))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))>
Calls

81 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
6.0ms
z
@inf
(* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
4.0ms
y
@inf
(* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
3.0ms
x
@inf
(* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
2.0ms
y
@0
(/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y)))))))

rewrite1.0s (8.7%)

Memory
-35.9MiB live, 1 340.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 644×accelerator-lowering-fma.f32
7 644×accelerator-lowering-fma.f64
4 526×/-lowering-/.f32
4 526×/-lowering-/.f64
4 492×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030128
1182106
21424106
08517101
Stop Event
1×iter limit
1×node limit
Counts
12 → 1 345
Calls
Call 1
Inputs
(+ (* (sin y) x) (* z (cos y)))
(sin y)
(* z (cos y))
(cos y)
(* x (sin y))
(+ (* (cos y) z) (* x (sin y)))
(* (/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))) (+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
(/ 1 (+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y)))))))
(+ (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))))
(* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+ (pow (* x (sin y)) 3) (pow (* z (cos y)) 3))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))

simplify529.0ms (4.6%)

Memory
-37.5MiB live, 931.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 840×accelerator-lowering-fma.f32
9 840×accelerator-lowering-fma.f64
8 432×*-lowering-*.f32
8 432×*-lowering-*.f64
3 288×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07187066
125196837
083516605
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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)))
(* 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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (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)))))
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)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* 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
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (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 (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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (cos y)))
(+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (* x (- (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (/ (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* z (cos y)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (cos y)))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (pow x 2))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))
(* x (- (+ (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow x 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 3) (* (pow (cos y) 3) (pow (sin y) 4))) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* -1 (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 3) (* (pow (cos y) 3) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) x)) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) x)) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
z
(+ z (* x y))
(+ z (* y (- (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -3/2 z) (* y (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (- (* z (- (* z (- (/ (pow (cos y) 3) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow (cos y) 3) (pow (sin y) 4)) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (cos y) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))) (* (pow z 3) (cos y))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))))))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z)))))
(/ 1 (* (pow z 2) (pow (cos y) 2)))
(+ (/ 1 (* (pow z 2) (pow (cos y) 2))) (/ (* x (sin y)) (* (pow z 3) (pow (cos y) 3))))
(+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (cos y) 4)))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 4) (pow (cos y) 4))))))) (* -1 (/ (sin y) (* (pow z 3) (pow (cos y) 3)))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (cos y) 4)))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 4) (pow (cos y) 4))))))) (* z (cos y)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 5) (pow (cos y) 5)))))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (cos y) 4))))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 4) (pow (cos y) 4))))))) (* -1 (/ (sin y) (* (pow z 3) (pow (cos y) 3)))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(/ (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (pow x 2))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (pow x 3))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (pow x 2))
(/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(/ (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* z (* (cos y) (sin y))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) x)) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (/ (* z (* (cos y) (sin y))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) x)) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))
(/ 1 (pow z 2))
(+ (/ 1 (pow z 2)) (/ (* x y) (pow z 3)))
(+ (* y (- (* y (- (/ 1 (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))))) (* -1 (/ x (pow z 3))))) (/ 1 (pow z 2)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (/ 1 (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))))) z)) (+ (* 1/6 (/ x (pow z 3))) (+ (* 1/2 (/ x (pow z 3))) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 5))))))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))))) (* -1 (/ x (pow z 3))))) (/ 1 (pow z 2)))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (sin y))) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (sin y)) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* z (- (* z (- (* -1 (* z (+ (/ (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow (cos y) 3) (sin y)) (* (pow x 5) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (sin y)) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (* (pow z 2) (pow (cos y) 2)))
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* x (sin y)) (* z (pow (cos y) 3)))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))) (pow z 2))) (/ 1 (pow (cos y) 2))) (* -1 (/ (* x (sin y)) (* z (pow (cos y) 3))))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 5))) (pow z 3))) (/ 1 (pow (cos y) 2))) (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 3)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4)))))) (pow z 2))
(/ 1 (* (pow z 2) (pow (cos y) 2)))
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* x (sin y)) (* z (pow (cos y) 3)))) (pow z 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 4)))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 4)))) (/ (* x (sin y)) (pow (cos y) 3))) z)) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))))) (* z (cos y)))) (* -1 (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 5))))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4)))) z)) (/ (* x (sin y)) (pow (cos y) 3))) z)) (/ 1 (pow (cos y) 2))) (pow z 2))
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (cos y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (pow x 2))))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow x 2)))))) (pow z 2))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 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 (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* (pow z 3) (pow (cos y) 3))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (pow (sin y) 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(pow z 3)
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow x 3) y))) (pow z 3))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* y (+ (* 7/8 (* y (pow z 3))) (pow x 3))))) (pow z 3))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(* (pow x 3) (pow (sin y) 3))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (pow (cos y) 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
Outputs
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
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(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/3 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 2/45 binary64) (*.f64 y (*.f64 y #s(literal -1/315 binary64))))) #s(literal -1/3 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(pow z 3)
(*.f64 z (*.f64 z z))
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3))
(*.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow x 3) y))) (pow z 3))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) y) y))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* y (+ (* 7/8 (* y (pow z 3))) (pow x 3))))) (pow z 3))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 y y) y) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 (*.f64 z (*.f64 z z)) #s(literal 7/8 binary64))))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z)))))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z)))))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z)))))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 z (*.f64 z z))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 z (*.f64 z z))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 z (*.f64 z z))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (*.f64 z z))))

eval316.0ms (2.7%)

Memory
45.4MiB live, 628.8MiB allocated
Compiler

Compiled 127 414 to 3 448 computations (97.3% saved)

prune573.0ms (4.9%)

Memory
4.9MiB live, 357.7MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 900181 918
Fresh6612
Picked325
Done011
Total1 909271 936
Accuracy
100.0%
Counts
1 936 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.0%
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
47.5%
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) z) #s(literal 1 binary64)) (/.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
35.1%
(fma.f64 (/.f64 x (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
60.7%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
77.7%
(fma.f64 (sin.f64 y) x z)
47.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
28.3%
(/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
51.7%
(+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
▶46.6%
(+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log.f64 (*.f64 z (cos.f64 y)))))
77.7%
(+.f64 (*.f64 x (sin.f64 y)) z)
49.4%
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
51.1%
(+.f64 z (*.f64 y x))
31.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sin.f64 y)) x (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
21.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
23.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
91.7%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
▶59.9%
(*.f64 z (cos.f64 y))
14.8%
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
▶44.6%
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
85.0%
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
15.3%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
14.8%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓41.6%
(*.f64 x (sin.f64 y))
▶15.6%
(*.f64 x y)
✓38.8%
z
Compiler

Compiled 1 329 to 742 computations (44.2% saved)

simplify390.0ms (3.4%)

Memory
-21.0MiB live, 467.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x)
✓cost-diff0
(/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
✓cost-diff6592
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log.f64 (*.f64 z (cos.f64 y)))))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
Rules
10 304×accelerator-lowering-fma.f32
10 304×accelerator-lowering-fma.f64
4 026×+-lowering-+.f64
4 026×+-lowering-+.f32
3 812×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034275
165275
2142275
3475273
41713273
52974271
63950271
77519271
87708271
08192257
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
1
(/ 1 (+ (* z (cos y)) (* (sin y) x)))
(+ (* z (cos y)) (* (sin y) x))
(* z (cos y))
z
(cos y)
y
(* (sin y) x)
(sin y)
x
(* x y)
x
y
(* z (cos y))
z
(cos y)
y
(+ (* x (sin y)) (exp (log (* z (cos y)))))
(* x (sin y))
x
(sin y)
y
(exp (log (* z (cos y))))
(log (* z (cos y)))
(* z (cos y))
z
(cos y)
(* x (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))))
x
(+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2))))))
(/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2))
(/ (* (* z (cos y)) (pow (sin y) 4)) x)
(* (* z (cos y)) (pow (sin y) 4))
(* z (cos y))
z
(cos y)
y
(pow (sin y) 4)
(sin y)
4
(pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)
(+ 1/2 (* -1/2 (cos (* y 2))))
1/2
(* -1/2 (cos (* y 2)))
-1/2
(cos (* y 2))
(* y 2)
2
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))
(pow (sin y) 3)
3
Outputs
(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (cos y)) (* (sin y) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(+ (* z (cos y)) (* (sin y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(* (sin y) x)
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
x
(* x y)
(*.f64 y x)
x
y
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(+ (* x (sin y)) (exp (log (* z (cos y)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
x
(sin y)
(sin.f64 y)
y
(exp (log (* z (cos y))))
(*.f64 z (cos.f64 y))
(log (* z (cos y)))
(log.f64 (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
(* x (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))))
(/.f64 (+.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
x
(+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2))))))
(+.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 x (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2))
(/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 x (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/ (* (* z (cos y)) (pow (sin y) 4)) x)
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z x))
(* (* z (cos y)) (pow (sin y) 4))
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(pow (sin y) 4)
(pow.f64 (sin.f64 y) #s(literal 4 binary64))
(sin y)
(sin.f64 y)
4
#s(literal 4 binary64)
(pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(+ 1/2 (* -1/2 (cos (* y 2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* -1/2 (cos (* y 2)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))
-1/2
#s(literal -1/2 binary64)
(cos (* y 2))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(pow (sin y) 3)
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize206.0ms (1.8%)

Memory
28.3MiB live, 385.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy91.1%
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
✓accuracy87.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
✓accuracy84.8%
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓accuracy82.9%
(/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy99.9%
(*.f64 x (sin.f64 y))
✓accuracy95.4%
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy99.9%
(*.f64 (sin.f64 y) x)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
Samples
59.0ms129×0invalid
48.0ms56×1valid
24.0ms65×0valid
17.0ms6×2valid
Compiler

Compiled 285 to 36 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-cos: 31.0ms (25.9% of total)
ival-mult: 30.0ms (25% of total)
ival-sin: 21.0ms (17.5% of total)
ival-div: 10.0ms (8.3% of total)
ival-pow: 9.0ms (7.5% of total)
ival-add: 6.0ms (5% of total)
adjust: 3.0ms (2.5% of total)
ival-exp: 3.0ms (2.5% of total)
ival-pow2: 3.0ms (2.5% of total)
ival-log: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
-35.6MiB live, 83.3MiB allocated
Counts
17 → 456
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))>
#<alt (/ 1 (+ (* z (cos y)) (* (sin y) x)))>
#<alt (+ (* z (cos y)) (* (sin y) x))>
#<alt (* z (cos y))>
#<alt (* x y)>
#<alt (cos y)>
#<alt (exp (log (* z (cos y))))>
#<alt (+ (* x (sin y)) (exp (log (* z (cos y)))))>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (* x (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))))>
#<alt (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2))))))>
#<alt (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2))>
#<alt (/ (* (* z (cos y)) (pow (sin y) 4)) x)>
#<alt (* (sin y) x)>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))>
#<alt (+ 1/2 (* -1/2 (cos (* y 2))))>
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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (* 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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 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 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (* 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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) 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>
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#<alt (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* (pow y 4) z) x)>
#<alt (* (pow y 4) (+ (* -7/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* (pow y 4) (+ (* (pow y 2) (+ (* -7/6 (/ z x)) (* 23/40 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* (pow y 4) (+ (* (pow y 2) (+ (* -7/6 (/ z x)) (* (pow y 2) (+ (* -2497/15120 (/ (* (pow y 2) z) x)) (* 23/40 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (/ (* z (* (cos y) (pow (sin y) 4))) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<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 (* 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 (* 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 (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<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 (* 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))))>
Calls

114 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* x y)
3.0ms
z
@inf
(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
3.0ms
y
@-inf
(* x (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))))
3.0ms
y
@inf
(* x (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))))
3.0ms
z
@0
(* x (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))))

rewrite526.0ms (4.5%)

Memory
17.1MiB live, 907.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 794×accelerator-lowering-fma.f32
5 794×accelerator-lowering-fma.f64
5 550×/-lowering-/.f32
5 550×/-lowering-/.f64
4 358×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034189
1179189
21577189
08344176
Stop Event
1×iter limit
1×node limit
Counts
17 → 864
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
(/ 1 (+ (* z (cos y)) (* (sin y) x)))
(+ (* z (cos y)) (* (sin y) x))
(* z (cos y))
(* x y)
(cos y)
(exp (log (* z (cos y))))
(+ (* x (sin y)) (exp (log (* z (cos y)))))
(* x (sin y))
(sin y)
(* x (+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))))
(+ (/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2)) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2))))))
(/ (/ (* (* z (cos y)) (pow (sin y) 4)) x) (pow (+ 1/2 (* -1/2 (cos (* y 2)))) 2))
(/ (* (* z (cos y)) (pow (sin y) 4)) x)
(* (sin y) x)
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* y 2)))))
(+ 1/2 (* -1/2 (cos (* y 2))))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))))))
(/.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
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simplify471.0ms (4.1%)

Memory
20.6MiB live, 890.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 292×accelerator-lowering-fma.f32
8 292×accelerator-lowering-fma.f64
6 820×*-lowering-*.f32
6 820×*-lowering-*.f64
2 470×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04176359
113716294
247776256
084455843
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (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
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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)))
(* 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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
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(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 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))))
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(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ 1 (* z (cos y)))
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(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (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)))))
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z
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(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* z (cos y))
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(* z (cos y))
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(* z (cos y))
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(+ z (* -1/2 (* (pow y 2) z)))
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(+ 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))
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
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1
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(+ 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)
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(* z (cos y))
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(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
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(* 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))
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(* z (cos y))
(* z (cos y))
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(+ (* x (sin y)) (* z (cos y)))
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(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(* x (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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
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(* x (sin y))
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(* x (sin y))
(* x (sin y))
(* x (sin y))
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(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
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(* x (sin y))
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(* x (sin y))
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y
(* y (+ 1 (* -1/6 (pow y 2))))
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(* 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) (pow (sin y) 4))) (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2))
(+ (/ (* x (pow (sin y) 3)) (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(+ (/ (* x (pow (sin y) 3)) (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(+ (/ (* x (pow (sin y) 3)) (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/ (* x (pow (sin y) 3)) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2))) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))))
(* x (+ (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2))) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))))
(* x (+ (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2))) (/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))))
(/ (* x (pow (sin y) 3)) (+ 1/2 (* -1/2 (cos (* 2 y)))))
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(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
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(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
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(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
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(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
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(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
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(/ (* z (* (cos y) (pow (sin y) 4))) x)
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(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
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(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
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(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* (pow y 4) z) x)
(/.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 y y))) x)
(* (pow y 4) (+ (* -7/6 (/ (* (pow y 2) z) x)) (/ z x)))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 z x) (/.f64 (*.f64 (*.f64 z (*.f64 y y)) #s(literal -7/6 binary64)) x)))
(* (pow y 4) (+ (* (pow y 2) (+ (* -7/6 (/ z x)) (* 23/40 (/ (* (pow y 2) z) x)))) (/ z x)))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 z x) (*.f64 (*.f64 y y) (+.f64 (*.f64 #s(literal -7/6 binary64) (/.f64 z x)) (/.f64 (*.f64 (*.f64 z (*.f64 y y)) #s(literal 23/40 binary64)) x)))))
(* (pow y 4) (+ (* (pow y 2) (+ (* -7/6 (/ z x)) (* (pow y 2) (+ (* -2497/15120 (/ (* (pow y 2) z) x)) (* 23/40 (/ z x)))))) (/ z x)))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 z x) (*.f64 (*.f64 y y) (+.f64 (*.f64 #s(literal -7/6 binary64) (/.f64 z x)) (*.f64 y (*.f64 y (+.f64 (*.f64 (/.f64 z x) #s(literal 23/40 binary64)) (/.f64 (*.f64 (*.f64 z (*.f64 y y)) #s(literal -2497/15120 binary64)) x))))))))
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(/ (* z (* (cos y) (pow (sin y) 4))) x)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64)))))))))
(* 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))
(* 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))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(/ (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) #s(literal 2/45 binary64))))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 y y) #s(literal -1/315 binary64)))))))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))

eval229.0ms (2%)

Memory
13.4MiB live, 468.6MiB allocated
Compiler

Compiled 56 310 to 3 260 computations (94.2% saved)

prune210.0ms (1.8%)

Memory
-32.8MiB live, 416.6MiB allocated
Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1 519221 541
Fresh71219
Picked325
Done033
Total1 529391 568
Accuracy
100.0%
Counts
1 568 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
77.7%
(fma.f64 (sin.f64 y) x z)
▶52.2%
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
47.4%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
24.7%
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
28.3%
(/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
52.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
59.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
41.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
39.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))
49.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
▶59.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
38.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
▶35.2%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
77.7%
(+.f64 (*.f64 x (sin.f64 y)) z)
36.6%
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
36.9%
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
49.4%
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
51.1%
(+.f64 z (*.f64 y x))
23.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
36.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
▶91.7%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
36.6%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
36.8%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
47.9%
(*.f64 z (exp.f64 (log.f64 (cos.f64 y))))
✓59.9%
(*.f64 z (cos.f64 y))
14.8%
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
17.5%
(*.f64 x (/.f64 (/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))
▶30.7%
(*.f64 x (/.f64 z x))
44.6%
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
85.0%
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
15.3%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
14.8%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓41.6%
(*.f64 x (sin.f64 y))
✓15.6%
(*.f64 x y)
29.5%
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
✓38.8%
z
Compiler

Compiled 1 266 to 823 computations (35% saved)

simplify230.0ms (2%)

Memory
-11.0MiB live, 373.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
✓cost-diff64
(pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64))
✓cost-diff12864
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓cost-diff0
(/.f64 (*.f64 x y) (*.f64 z z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
✓cost-diff0
(/.f64 z x)
✓cost-diff256
(*.f64 x (/.f64 z x))
✓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-diff128
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
Rules
3 858×accelerator-lowering-fma.f32
3 858×accelerator-lowering-fma.f64
3 476×*-lowering-*.f32
3 476×*-lowering-*.f64
2 530×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027155
159155
2117155
3224155
4536149
51893149
63489149
74343149
87140149
08518142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* z (+ (cos y) (/ (* x (sin y)) z)))
z
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
y
(/ (* x (sin y)) z)
(* x (sin y))
x
(sin y)
(* x (/ z x))
x
(/ z x)
z
(/ 1 (- (/ 1 z) (/ (* x y) (* z z))))
1
(- (/ 1 z) (/ (* x y) (* z z)))
(/ 1 z)
z
(/ (* x y) (* z z))
(* x y)
x
y
(* z z)
(/ 1 (/ 1 (* z (cos y))))
1
(/ 1 (* z (cos y)))
(* z (cos y))
z
(cos y)
y
(pow (pow (+ (* z (cos y)) (* (sin y) x)) 1/2) 2)
(pow (+ (* z (cos y)) (* (sin y) x)) 1/2)
(+ (* z (cos y)) (* (sin y) x))
(* z (cos y))
z
(cos y)
y
(* (sin y) x)
(sin y)
x
1/2
2
Outputs
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
z
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 z x)))
(cos y)
(cos.f64 y)
y
(/ (* x (sin y)) z)
(/.f64 (sin.f64 y) (/.f64 z x))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
(* x (/ z x))
z
x
(/ z x)
(/.f64 z x)
z
(/ 1 (- (/ 1 z) (/ (* x y) (* z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z x)))))
1
#s(literal 1 binary64)
(- (/ 1 z) (/ (* x y) (* z z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z x))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
z
(/ (* x y) (* z z))
(/.f64 y (/.f64 z (/.f64 x z)))
(* x y)
(*.f64 y x)
x
y
(* z z)
(*.f64 z z)
(/ 1 (/ 1 (* z (cos y))))
(*.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(/ 1 (* z (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(pow (pow (+ (* z (cos y)) (* (sin y) x)) 1/2) 2)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(pow (+ (* z (cos y)) (* (sin y) x)) 1/2)
(sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(+ (* z (cos y)) (* (sin y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(* (sin y) x)
(*.f64 x (sin.f64 y))
(sin y)
(sin.f64 y)
x
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize100.0ms (0.9%)

Memory
18.6MiB live, 173.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64))
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy99.9%
(*.f64 (sin.f64 y) x)
✓accuracy99.6%
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
✓accuracy92.4%
(/.f64 (*.f64 x y) (*.f64 z z))
✓accuracy100.0%
(/.f64 z x)
✓accuracy86.2%
(*.f64 x (/.f64 z x))
✓accuracy100.0%
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
✓accuracy99.9%
(*.f64 x (sin.f64 y))
✓accuracy98.1%
(/.f64 (*.f64 x (sin.f64 y)) z)
✓accuracy95.5%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
Samples
32.0ms135×0valid
30.0ms121×0invalid
Compiler

Compiled 166 to 29 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 12.0ms (27.3% of total)
ival-mult: 11.0ms (25.1% of total)
ival-sin: 7.0ms (16% of total)
ival-cos: 7.0ms (16% of total)
ival-add: 2.0ms (4.6% of total)
ival-sqrt: 2.0ms (4.6% of total)
ival-pow2: 2.0ms (4.6% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
12.9MiB live, 91.0MiB allocated
Counts
20 → 552
Calls
Call 1
Inputs
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (/ z x))>
#<alt (/ z x)>
#<alt (/ 1 (- (/ 1 z) (/ (* x y) (* z z))))>
#<alt (- (/ 1 z) (/ (* x y) (* z z)))>
#<alt (/ 1 z)>
#<alt (/ (* x y) (* z z))>
#<alt (/ 1 (/ 1 (* z (cos y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (pow (pow (+ (* z (cos y)) (* (sin y) x)) 1/2) 2)>
#<alt (pow (+ (* z (cos y)) (* (sin y) x)) 1/2)>
#<alt (+ (* z (cos y)) (* (sin y) x))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* z z)>
#<alt (* (sin y) x)>
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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* 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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) 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 (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (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 (/ (* 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 y) z)>
#<alt (* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x 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 z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* (pow z 2) (- (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (* z (- (* -1 (/ z (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))))>
#<alt (* z (- (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* -1 (* x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2))) z)) (* -1 (* x y))) z)) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x (- (/ (* x (pow y 2)) z) (* -1 y))))>
#<alt (+ z (* x (- (* x (- (/ (* x (pow y 3)) (pow z 2)) (* -1 (/ (pow y 2) z)))) (* -1 y))))>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (/ (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3))))) (/ (pow z 3) (* x (pow y 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 5) (* (pow x 3) (pow y 4))))) (+ (/ (pow z 3) (* x (pow y 2))) (/ (pow z 4) (* (pow x 2) (pow y 3))))) x)>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* -1 (/ (+ (/ (pow z 2) y) (/ (pow z 3) (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ (pow z 3) (pow y 2))) x)) (/ (pow z 2) y)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow y 4))) (* -1 (/ (pow z 4) (pow y 3)))) x)) (/ (pow z 3) (pow y 2))) x)) (/ (pow z 2) y)) x))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (/ (* (pow x 2) y) z) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (/ (* (pow x 3) y) (pow z 2)) (* -1 (/ (pow x 2) z)))) (* -1 x))))>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (/ (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 3) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2))))) (/ (pow z 3) (* (pow x 2) y))) y)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 5) (* (pow x 4) (pow y 3))))) (+ (/ (pow z 3) (* (pow x 2) y)) (/ (pow z 4) (* (pow x 3) (pow y 2))))) y)>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* -1 (/ (+ (/ (pow z 2) x) (/ (pow z 3) (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* (pow x 3) y))) (/ (pow z 3) (pow x 2))) y)) (/ (pow z 2) x)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* (pow x 4) y)) (* -1 (/ (pow z 4) (pow x 3)))) y)) (/ (pow z 3) (pow x 2))) y)) (/ (pow z 2) x)) y))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (/ (- z (* x y)) (pow z 2))>
#<alt (/ (- z (* x y)) (pow z 2))>
#<alt (/ (- z (* x y)) (pow z 2))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)>
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)>
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))>
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))>
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* x (- (/ 1 (* x z)) (/ y (pow z 2))))>
#<alt (* x (- (/ 1 (* x z)) (/ y (pow z 2))))>
#<alt (* x (- (/ 1 (* x z)) (/ y (pow z 2))))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))>
#<alt (* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))>
#<alt (* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* y (- (/ 1 (* y z)) (/ x (pow z 2))))>
#<alt (* y (- (/ 1 (* y z)) (/ x (pow z 2))))>
#<alt (* y (- (/ 1 (* y z)) (/ x (pow z 2))))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))>
#<alt (* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))>
#<alt (* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<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 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 z)>
#<alt (+ (* 1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) z)) (* 5/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* 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 (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 (* 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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (* 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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (sqrt (* x (sin y)))>
#<alt (+ (sqrt (* x (sin y))) (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (* z (cos y)))))>
#<alt (+ (sqrt (* x (sin y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (sin y) 3)))) (* z (pow (cos y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (cos y))))))>
#<alt (+ (sqrt (* x (sin y))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (cos y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (sin y) 3)))) (pow (cos y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 5)))) (* z (pow (cos y) 3)))))))))>
#<alt (sqrt (* z (cos y)))>
#<alt (* z (+ (sqrt (/ (cos y) z)) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y))))))))>
#<alt (* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (* (pow x 2) (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))))))>
#<alt (* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (* (pow x 2) (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow (sin y) 3)) (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y))))))))))>
#<alt (* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (sin y) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (sin y) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow (sin y) 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))))) (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt z)>
#<alt (+ (sqrt z) (* 1/2 (* (* x y) (sqrt (/ 1 z)))))>
#<alt (+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* 1/2 (* (* y (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) (sqrt (/ 1 z)))))))>
#<alt (+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* -1/2 z) (* 1/4 (/ (pow x 2) z))))) (* 1/2 (* (* y (- (* -1/6 x) (* 1/2 (/ (* x (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) z)))) (sqrt (/ 1 z)))))))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (+ (* x (sin y)) (* z (cos y))))>
#<alt (sqrt (* z (cos y)))>
#<alt (+ (sqrt (* z (cos y))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* z (cos y)))))))>
#<alt (+ (sqrt (* z (cos y))) (* x (+ (* -1/8 (* (* x (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))))) (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y))))))>
#<alt (+ (sqrt (* z (cos y))) (* x (+ (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))) (pow (sin y) 2))) (* 1/16 (* (* x (pow (sin y) 3)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 5)))))))))))>
#<alt (sqrt (* x (sin y)))>
#<alt (* x (+ (sqrt (/ (sin y) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y))))))>
#<alt (* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))))))>
#<alt (* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (* (pow z 3) (pow (cos y) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y))))))))>
#<alt (* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))))>
#<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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (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>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (* 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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<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 (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<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 (* 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 (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
Calls

138 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
(/ 1 (* z (cos y)))
5.0ms
y
@0
(/ (* x (sin y)) z)
1.0ms
z
@-inf
(pow (+ (* z (cos y)) (* (sin y) x)) 1/2)
1.0ms
x
@-inf
(pow (+ (* z (cos y)) (* (sin y) x)) 1/2)
1.0ms
z
@inf
(pow (+ (* z (cos y)) (* (sin y) x)) 1/2)

rewrite626.0ms (5.4%)

Memory
-20.8MiB live, 602.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 342×*-lowering-*.f32
5 342×*-lowering-*.f64
5 166×accelerator-lowering-fma.f32
5 166×accelerator-lowering-fma.f64
3 998×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027130
1163122
21365118
08321113
Stop Event
1×iter limit
1×node limit
Counts
20 → 714
Calls
Call 1
Inputs
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(/ (* x (sin y)) z)
(* x (/ z x))
(/ z x)
(/ 1 (- (/ 1 z) (/ (* x y) (* z z))))
(- (/ 1 z) (/ (* x y) (* z z)))
(/ 1 z)
(/ (* x y) (* z z))
(/ 1 (/ 1 (* z (cos y))))
(/ 1 (* z (cos y)))
(* z (cos y))
(pow (pow (+ (* z (cos y)) (* (sin y) x)) 1/2) 2)
(pow (+ (* z (cos y)) (* (sin y) x)) 1/2)
(+ (* z (cos y)) (* (sin y) x))
(* x (sin y))
(* x y)
(* z z)
(* (sin y) x)
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 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.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 x (/.f64 (sin.f64 y) z)) (*.f64 z (cos.f64 y)))
(fma.f64 z (/.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 z (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 z (pow.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
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(*.f64 (sin.f64 y) x)

simplify525.0ms (4.5%)

Memory
40.9MiB live, 634.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 492×accelerator-lowering-fma.f32
7 492×accelerator-lowering-fma.f64
7 272×*-lowering-*.f32
7 272×*-lowering-*.f64
1 944×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05634938
117534854
255724829
083454581
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
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(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (sin y) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow (sin y) 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))))) (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))))
(sqrt z)
(+ (sqrt z) (* 1/2 (* (* x y) (sqrt (/ 1 z)))))
(+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* 1/2 (* (* y (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) (sqrt (/ 1 z)))))))
(+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* -1/2 z) (* 1/4 (/ (pow x 2) z))))) (* 1/2 (* (* y (- (* -1/6 x) (* 1/2 (/ (* x (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) z)))) (sqrt (/ 1 z)))))))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (* z (cos y)))
(+ (sqrt (* z (cos y))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* z (cos y)))))))
(+ (sqrt (* z (cos y))) (* x (+ (* -1/8 (* (* x (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))))) (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y))))))
(+ (sqrt (* z (cos y))) (* x (+ (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))) (pow (sin y) 2))) (* 1/16 (* (* x (pow (sin y) 3)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 5)))))))))))
(sqrt (* x (sin y)))
(* x (+ (sqrt (/ (sin y) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y))))))
(* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))))))
(* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (* (pow z 3) (pow (cos y) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y))))))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))))
(* 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (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
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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)))
(* 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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (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
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 x z) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) z))))))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 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)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (*.f64 y y) z)))))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) (*.f64 (*.f64 x (/.f64 (*.f64 y y) z)) #s(literal 1/120 binary64))))))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 y (*.f64 y (+.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) z) (/.f64 (*.f64 x #s(literal 1/120 binary64)) z))))))))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
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(*.f64 x (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sin.f64 y))) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sin.f64 y) #s(literal 5 binary64))))))))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sin.f64 y))) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sin.f64 y))) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 y) x))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sin.f64 y))) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sin.f64 y) #s(literal 5 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (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
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) 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))
(* 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 y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))
(* 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))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))
(* 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))
(* 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))
(* 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))

eval217.0ms (1.9%)

Memory
14.9MiB live, 427.6MiB allocated
Compiler

Compiled 24 030 to 2 606 computations (89.2% saved)

prune238.0ms (2.1%)

Memory
-8.8MiB live, 558.9MiB allocated
Pruning

54 alts after pruning (48 fresh and 6 done)

PrunedKeptTotal
New1 319281 347
Fresh92029
Picked415
Done055
Total1 332541 386
Accuracy
100.0%
Counts
1 386 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.8%
(fma.f64 (*.f64 z (*.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
84.4%
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y)))
77.7%
(fma.f64 (sin.f64 y) x z)
52.0%
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
20.9%
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
3.1%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
66.5%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 x z) (/.f64 x z)))) z) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
30.4%
(/.f64 (*.f64 z x) x)
28.3%
(/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
31.2%
(/.f64 x (/.f64 x z))
32.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
59.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
59.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
41.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
13.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
7.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
14.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
2.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
30.3%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
21.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
49.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
38.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
14.7%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
77.7%
(+.f64 (*.f64 x (sin.f64 y)) z)
36.6%
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
36.9%
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
49.4%
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
51.1%
(+.f64 z (*.f64 y x))
21.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
30.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
36.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
30.3%
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
33.6%
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z))
89.5%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (sin.f64 y)))))
89.4%
(*.f64 z (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))
49.1%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
36.6%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
36.8%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
45.2%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
47.9%
(*.f64 z (exp.f64 (log.f64 (cos.f64 y))))
✓59.9%
(*.f64 z (cos.f64 y))
14.8%
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓30.7%
(*.f64 x (/.f64 z x))
30.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
44.6%
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
30.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
15.3%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
14.8%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓41.6%
(*.f64 x (sin.f64 y))
✓15.6%
(*.f64 x y)
29.5%
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
✓38.8%
z
Compiler

Compiled 2 576 to 870 computations (66.2% saved)

regimes129.0ms (1.1%)

Memory
18.8MiB live, 324.9MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (exp.f64 (log.f64 (cos.f64 y))))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 z x) (/.f64 (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)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 x z) (/.f64 x z)))) z) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 x (/.f64 (/.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.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 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.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 (*.f64 (*.f64 z (cos.f64 y)) z) #s(literal 1 binary64)) (/.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sin.f64 y)) x (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))))
(fma.f64 (/.f64 x (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
Calls

4 calls:

33.0ms
x
31.0ms
z
30.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
28.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes73.0ms (0.6%)

Memory
-12.6MiB live, 225.4MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (exp.f64 (log.f64 (cos.f64 y))))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

17.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
x
17.0ms
y
16.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.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
2.7MiB live, 212.8MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (exp.f64 (log.f64 (cos.f64 y))))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

22.0ms
z
17.0ms
y
17.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes47.0ms (0.4%)

Memory
-15.6MiB live, 143.7MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(fma.f64 (sin.f64 y) x z)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Calls

3 calls:

14.0ms
x
14.0ms
z
14.0ms
y
Results
AccuracySegmentsBranch
89.4%3x
80.3%2y
88.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.2%)

Memory
8.1MiB live, 48.8MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
89.4%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes39.0ms (0.3%)

Memory
21.0MiB live, 98.9MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Calls

3 calls:

12.0ms
y
12.0ms
x
11.0ms
z
Results
AccuracySegmentsBranch
79.1%4y
78.7%3z
78.6%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes71.0ms (0.6%)

Memory
-3.5MiB live, 78.9MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(*.f64 x (sin.f64 y))
Calls

3 calls:

33.0ms
z
23.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
75.8%3y
62.9%3x
63.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.3%)

Memory
-27.7MiB live, 87.8MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 x z))
(/.f64 (*.f64 z x) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 y (+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) y))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (*.f64 z z))))))
Outputs
(+.f64 z (*.f64 y x))
Calls

3 calls:

12.0ms
z
11.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
51.1%1x
51.1%1z
51.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
Outputs
z
(*.f64 x y)
z
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
41.0%2x
38.8%1y
43.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

2 calls:

1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.8%1x
38.8%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch39.0ms (0.3%)

Memory
-6.2MiB live, 75.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
7.042723858517158e-177
8.747531117447409e-171
19.0ms
-1.2545216567100064e+63
-2.3200577866010606e+58
Samples
28.0ms272×0valid
Compiler

Compiled 312 to 226 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 8.0ms (38.2% of total)
ival-sin: 6.0ms (28.7% of total)
ival-mult: 5.0ms (23.9% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
19.4MiB live, 98.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
7.042723858517158e-177
8.747531117447409e-171
17.0ms
-1.2545216567100064e+63
-2.3200577866010606e+58
Samples
26.0ms272×0valid
Compiler

Compiled 321 to 235 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 7.0ms (36.9% of total)
ival-cos: 6.0ms (31.6% of total)
ival-mult: 4.0ms (21.1% of total)
ival-add: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
-32.1MiB live, 49.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.3363194704269153e-91
1.796428109060987e-91
14.0ms
-1.070255006679975e-15
-1.7312126946417699e-16
Samples
15.0ms144×0valid
Compiler

Compiled 159 to 122 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.6% of total)
ival-cos: 3.0ms (27.4% of total)
ival-sin: 3.0ms (27.4% of total)
ival-add: 1.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
6.5MiB live, 84.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.76837836052564e-22
3.0478502849384767e-18
19.0ms
-1.2579083694075003e+31
-3.723794277122214e-7
Samples
21.0ms304×0valid
Compiler

Compiled 566 to 394 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 5.0ms (38.2% of total)
ival-mult: 4.0ms (30.6% of total)
ival-cos: 3.0ms (22.9% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
24.0MiB live, 65.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.452878719037848e-236
1.019257208683157e-231
11.0ms
-1.070255006679975e-15
-1.7312126946417699e-16
Samples
19.0ms224×0valid
Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 5.0ms (38.2% of total)
ival-cos: 4.0ms (30.6% of total)
ival-mult: 3.0ms (22.9% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-18.9MiB live, 20.7MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
12×+-commutative_binary64
8×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055133
182133
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 x #s(literal -359999999999999985347487938711546494752627127588565467267072 binary64)) (+.f64 (*.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 8242690568946349/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -5500000000000000078441167310397074032871539922947539497648128 binary64)) (+.f64 (*.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 4623025089477141/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 z #s(literal -4867778304876401/20282409603651670423947251286016 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 6238316235492995/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -607985949695017/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 7788445287802241/2596148429267413814265248164610048 binary64)) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 z #s(literal -7301667457314601/40564819207303340847894502572032 binary64)) z (if (<=.f64 z #s(literal 5369794484714055/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) (*.f64 x y) z))
z
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(if (<=.f64 x #s(literal -359999999999999985347487938711546494752627127588565467267072 binary64)) (+.f64 (*.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 8242690568946349/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -359999999999999985347487938711546494752627127588565467267072 binary64)) (+.f64 z (*.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 8242690568946349/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -5500000000000000078441167310397074032871539922947539497648128 binary64)) (+.f64 (*.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 4623025089477141/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x #s(literal -5500000000000000078441167310397074032871539922947539497648128 binary64)) (+.f64 z (*.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 4623025089477141/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (*.f64 z (cos.f64 y)) (+.f64 z (*.f64 (sin.f64 y) x))))
(if (<=.f64 z #s(literal -4867778304876401/20282409603651670423947251286016 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 6238316235492995/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -4867778304876401/20282409603651670423947251286016 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 6238316235492995/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -607985949695017/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 7788445287802241/2596148429267413814265248164610048 binary64)) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -607985949695017/2251799813685248 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 7788445287802241/2596148429267413814265248164610048 binary64)) (+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))))))) (*.f64 (sin.f64 y) x)))
(+.f64 z (*.f64 y x))
(if (<=.f64 z #s(literal -7301667457314601/40564819207303340847894502572032 binary64)) z (if (<=.f64 z #s(literal 5369794484714055/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) (*.f64 x y) z))
(if (<=.f64 z #s(literal -7301667457314601/40564819207303340847894502572032 binary64)) z (if (<=.f64 z #s(literal 5369794484714055/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) (*.f64 y x) z))
z

soundness1.0s (8.7%)

Memory
5.9MiB live, 555.8MiB allocated
Rules
14 960×accelerator-lowering-fma.f32
14 960×accelerator-lowering-fma.f64
11 256×accelerator-lowering-fma.f32
11 256×accelerator-lowering-fma.f64
9 840×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12419
218019
3185319
0821318
096626
1316622
2937612
32505606
44416606
57325606
08407556
07187066
125196837
083516605
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 290 to 150 computations (48.3% saved)

preprocess142.0ms (1.2%)

Memory
7.7MiB live, 164.9MiB allocated
Compiler

Compiled 318 to 124 computations (61% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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