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

Time bar (total: 13.2s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.3s (10%)

Memory
19.1MiB live, 1 319.2MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 912.0ms
ival-cos: 569.0ms (62.4% of total)
ival-sin: 164.0ms (18% of total)
ival-mult: 129.0ms (14.2% of total)
ival-add: 41.0ms (4.5% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess302.0ms (2.3%)

Memory
-185.3MiB live, 38.8MiB allocated
Algorithm
2×egg-herbie
Rules
168×associate-*r*
164×unsub-neg
142×associate-*l*
132×distribute-lft-neg-in
116×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
18190
214190
332390
449190
573390
690490
798790
8106690
9113290
10114690
11115190
12115390
089
1119
0118
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* x (cos y)) (* z (sin y)))
Outputs
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Call 2
Inputs
(+ (* x (cos y)) (* z (sin y)))
(+ (* (neg x) (cos y)) (* z (sin y)))
(+ (* x (cos (neg y))) (* z (sin (neg y))))
(+ (* x (cos y)) (* (neg z) (sin y)))
(neg (+ (* (neg x) (cos y)) (* z (sin y))))
(neg (+ (* x (cos (neg y))) (* z (sin (neg y)))))
(neg (+ (* x (cos y)) (* (neg z) (sin y))))
(+ (* y (cos x)) (* z (sin x)))
(+ (* z (cos y)) (* x (sin y)))
(+ (* x (cos z)) (* y (sin z)))
Outputs
(+ (* x (cos y)) (* z (sin y)))
(+ (* (neg x) (cos y)) (* z (sin y)))
(- (* z (sin y)) (* x (cos y)))
(+ (* x (cos (neg y))) (* z (sin (neg y))))
(- (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* (neg z) (sin y)))
(- (* x (cos y)) (* z (sin y)))
(neg (+ (* (neg x) (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(neg (+ (* x (cos (neg y))) (* z (sin (neg y)))))
(- (* z (sin y)) (* x (cos y)))
(neg (+ (* x (cos y)) (* (neg z) (sin y))))
(- (* z (sin y)) (* x (cos y)))
(+ (* y (cos x)) (* z (sin x)))
(+ (* z (cos y)) (* x (sin y)))
(+ (* (cos y) z) (* x (sin y)))
(+ (* x (cos z)) (* y (sin z)))

explain136.0ms (1%)

Memory
-4.8MiB live, 198.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
54.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 15.0ms (43.4% of total)
ival-cos: 11.0ms (31.8% of total)
ival-mult: 6.0ms (17.3% of total)
ival-add: 2.0ms (5.8% 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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
Outputs
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)

localize51.0ms (0.4%)

Memory
-4.2MiB live, 73.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
26.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.8% of total)
ival-sin: 5.0ms (31.5% of total)
ival-mult: 4.0ms (25.2% of total)
ival-add: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (sin y)>
Outputs
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (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 (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (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)>
Calls

27 calls:

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

rewrite643.0ms (4.9%)

Memory
7.5MiB live, 907.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 480×accelerator-lowering-fma.f32
11 480×accelerator-lowering-fma.f64
4 168×*-lowering-*.f32
4 168×*-lowering-*.f64
4 068×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12421
218021
3185321
0839520
Stop Event
1×iter limit
1×node limit
Counts
5 → 177
Calls
Call 1
Inputs
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
(sin y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))))
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(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x (cos.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x (cos.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #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 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(*.f64 (pow.f64 z #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 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)

simplify470.0ms (3.6%)

Memory
-22.8MiB live, 548.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 652×accelerator-lowering-fma.f32
11 652×accelerator-lowering-fma.f64
4 396×*-lowering-*.f32
4 396×*-lowering-*.f64
2 464×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1343678
2987666
32638660
44676660
57002660
08182604
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (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)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (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)
Outputs
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) #s(literal 0 binary64)))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 z y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(* z (sin y))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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)

eval35.0ms (0.3%)

Memory
13.4MiB live, 94.1MiB allocated
Compiler

Compiled 10 284 to 557 computations (94.6% saved)

prune47.0ms (0.4%)

Memory
-12.6MiB live, 114.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New27015285
Fresh000
Picked101
Done000
Total27115286
Accuracy
99.9%
Counts
286 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
43.7%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
36.7%
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
51.5%
(fma.f64 z y x)
▶50.9%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
50.5%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
64.8%
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
21.4%
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
43.6%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
▶43.6%
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
24.9%
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
▶41.8%
x
Compiler

Compiled 788 to 392 computations (50.3% saved)

simplify545.0ms (4.1%)

Memory
22.2MiB live, 694.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (+.f64 y y))
✓cost-diff192
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff14848
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
✓cost-diff-64
(*.f64 z (sin.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓cost-diff0
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
✓cost-diff0
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
✓cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
✓cost-diff-64
(*.f64 x (cos.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Rules
12 608×accelerator-lowering-fma.f32
12 608×accelerator-lowering-fma.f64
3 780×*-lowering-*.f32
3 780×*-lowering-*.f64
1 468×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035273
192273
2237273
3582273
41523272
53592261
66717261
08232246
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
y
z
(* x (cos y))
x
(cos y)
x
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
y
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(+ (* x -1/2) (* (* z y) -1/6))
x
-1/2
(* (* z y) -1/6)
(* z y)
z
-1/6
(+ (* (cos y) x) (* z (sin y)))
(cos y)
y
x
(* z (sin y))
z
(sin y)
(- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y)))))
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(/ (* x x) (- (* x (cos y)) (* z (sin y))))
(* x x)
x
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
z
(sin y)
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(* z z)
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
(- 1/2 (* 1/2 (cos (+ y y))))
Outputs
(+ (* (sin y) z) (* x (cos y)))
(fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))
(sin y)
(sin.f64 y)
y
z
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
x
(cos y)
(cos.f64 y)
x
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
y
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z)
(+ (* x -1/2) (* (* z y) -1/6))
(fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
x
-1/2
#s(literal -1/2 binary64)
(* (* z y) -1/6)
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
(* z y)
(*.f64 y z)
z
-1/6
#s(literal -1/6 binary64)
(+ (* (cos y) x) (* z (sin y)))
(fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))
(cos y)
(cos.f64 y)
y
x
(* z (sin y))
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
(- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) x) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (cos.f64 (+.f64 y y)) x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))) #s(literal 0 binary64))
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(/ (* x x) (- (* x (cos y)) (* z (sin y))))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(cos y)
(cos.f64 y)
(* z (sin y))
(fma.f64 (sin.f64 y) z #s(literal 0 binary64))
z
(sin y)
(sin.f64 y)
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64))))) #s(literal 0 binary64))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) z #s(literal 0 binary64)))))
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))

localize207.0ms (1.6%)

Memory
-15.8MiB live, 374.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy76.8%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy73.7%
(*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓accuracy64.0%
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy100.0%
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
✓accuracy100.0%
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
✓accuracy100.0%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
✓accuracy99.6%
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
52.0ms58×1valid
52.0ms67×2valid
47.0ms131×0valid
Compiler

Compiled 267 to 37 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-cos: 32.0ms (27.1% of total)
ival-mult: 29.0ms (24.6% of total)
ival-sin: 19.0ms (16.1% of total)
ival-add: 14.0ms (11.9% of total)
adjust: 9.0ms (7.6% of total)
ival-sub: 5.0ms (4.2% of total)
ival-div: 5.0ms (4.2% of total)
const: 4.0ms (3.4% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
0.2MiB live, 117.6MiB allocated
Counts
17 → 456
Calls
Call 1
Inputs
#<alt (+ (* (sin y) z) (* x (cos y)))>
#<alt (sin y)>
#<alt (cos y)>
#<alt (* x (cos y))>
#<alt (+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)>
#<alt (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)>
#<alt (+ (* x -1/2) (* (* z y) -1/6))>
#<alt (* (* z y) -1/6)>
#<alt (+ (* (cos y) x) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (cos (+ y y))>
#<alt (/ (* x x) (- (* x (cos y)) (* z (sin y))))>
#<alt (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 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 (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt z>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))>
#<alt (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/2 (* x y))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1/2 (* x y))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1/6 (* y z))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<alt (- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
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#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (/ (pow y 2) x)>
#<alt (* (pow y 2) (+ (/ 1 x) (/ (* y z) (pow x 2))))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x)))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))))>
#<alt (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))>
#<alt (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 4) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 3) (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))>
#<alt (/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* (pow z 3) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))) x)>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))>
#<alt (- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))>
#<alt (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))>
#<alt (- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))>
#<alt (/ (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))) z)>
#<alt (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))>
#<alt (* -1 (/ (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))>
Calls

114 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
5.0ms
y
@inf
(- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
3.0ms
z
@inf
(- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
2.0ms
x
@inf
(- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
2.0ms
z
@inf
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))

rewrite1.1s (8.3%)

Memory
52.8MiB live, 2 037.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 600×*-lowering-*.f32
4 600×*-lowering-*.f64
4 416×/-lowering-/.f32
4 416×/-lowering-/.f64
3 740×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035156
1224138
21932138
08422129
Stop Event
1×iter limit
1×node limit
Counts
17 → 2 127
Calls
Call 1
Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
(cos y)
(* x (cos y))
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(+ (* x -1/2) (* (* z y) -1/6))
(* (* z y) -1/6)
(+ (* (cos y) x) (* z (sin y)))
(* z (sin y))
(- (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(- 1/2 (* 1/2 (cos (+ y y))))
(cos (+ y y))
(/ (* x x) (- (* x (cos y)) (* z (sin y))))
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (fma.f64 x (*.f64 (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (fma.f64 x (*.f64 (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 z (neg.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 x (*.f64 (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 y y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 y y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 y y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 y y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 y y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))

simplify646.0ms (4.9%)

Memory
8.7MiB live, 839.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 372×*-lowering-*.f32
7 372×*-lowering-*.f64
6 574×accelerator-lowering-fma.f32
6 574×accelerator-lowering-fma.f64
3 926×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010459226
136589098
085108673
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin 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 (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 (* x y))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(* -1/2 x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* -1/6 (* y z))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1/6 (* y z))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1/2 x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* -1/6 (* y z))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* -1/6 (* y z))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
x
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(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(/ (pow y 2) x)
(* (pow y 2) (+ (/ 1 x) (/ (* y z) (pow x 2))))
(* (pow y 2) (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x)))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))
(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))))
(+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))
(+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 4) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 3) (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))
(/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) x)
(/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) x)
(/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* (pow z 3) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))) x)
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))
(- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))
(- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))
(- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))
(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(/ (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))) z)
(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(* -1 (/ (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
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(cos y)
(cos.f64 y)
(cos y)
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(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
(* -1/6 (* (pow y 3) z))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (+.f64 (fma.f64 z #s(literal -1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y y)))))
(* -1/6 (* (pow y 3) z))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(*.f64 (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) z) y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
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(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y)))
(* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))) x))
(/.f64 (neg.f64 (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) 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 #s(literal 0 binary64) (cos.f64 y))) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) 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 #s(literal 0 binary64) (cos.f64 y))) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.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)))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y)))
(- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (cos.f64 y))) (fma.f64 z (*.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x (cos.f64 y))))))
(- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y))))
(- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y))))
(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(/ (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) z)
(/.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z)
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.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)))))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z)
(* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(* -1 (/ (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y))))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 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 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) z))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.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)))))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))

eval627.0ms (4.8%)

Memory
23.8MiB live, 1 116.7MiB allocated
Compiler

Compiled 214 106 to 5 504 computations (97.4% saved)

prune300.0ms (2.3%)

Memory
-4.4MiB live, 718.9MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New2 896222 918
Fresh7310
Picked235
Done000
Total2 905282 933
Accuracy
100.0%
Counts
2 933 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
54.5%
(fma.f64 z (neg.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
▶51.5%
(fma.f64 z y x)
38.1%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
51.6%
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
50.5%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
▶40.2%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
39.4%
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
▶98.8%
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
39.4%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
64.5%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
43.7%
(-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
27.0%
(-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
21.0%
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) z)))
42.6%
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
51.3%
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
42.9%
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
25.4%
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
36.7%
(*.f64 z (sin.f64 y))
14.3%
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶94.2%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
64.4%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
64.8%
(*.f64 x (cos.f64 y))
3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
✓41.8%
x
Compiler

Compiled 1 234 to 679 computations (45% saved)

simplify1.1s (8.7%)

Memory
-44.0MiB live, 1 540.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓cost-diff13888
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 (sin.f64 y) x)
✓cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓cost-diff704
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 z (*.f64 y y))
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)))
✓cost-diff0
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
✓cost-diff0
(fma.f64 z y x)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
Rules
45 994×accelerator-lowering-fma.f32
45 994×accelerator-lowering-fma.f64
5 028×+-lowering-+.f64
5 028×+-lowering-+.f32
4 086×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036215
182215
2205204
3422202
4751202
51824202
63327202
76550202
86841202
97019202
107035202
117035202
08559189
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))
1
(/ 1 (+ (* z (sin y)) (* x (cos y))))
(+ (* z (sin y)) (* x (cos y)))
z
(sin y)
y
(* x (cos y))
x
(cos y)
(+ (* z y) x)
z
y
x
(+ (* y (* -1/6 (* z (* y y)))) x)
y
(* -1/6 (* z (* y y)))
-1/6
(* z (* y y))
z
(* y y)
x
(* x (+ (* z (/ (sin y) x)) (cos y)))
x
(+ (* z (/ (sin y) x)) (cos y))
z
(/ (sin y) x)
(sin y)
y
(cos y)
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
x
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(cos y)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(* z (sin y))
z
(sin y)
(pow (cos y) 2)
2
Outputs
(/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (sin y)) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+ (* z (sin y)) (* x (cos y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
z
(sin y)
(sin.f64 y)
y
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
(+ (* z y) x)
(fma.f64 z y x)
z
y
x
(+ (* y (* -1/6 (* z (* y y)))) x)
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 z #s(literal -1/6 binary64))) x)
y
(* -1/6 (* z (* y y)))
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))
-1/6
#s(literal -1/6 binary64)
(* z (* y y))
(*.f64 z (*.f64 y y))
z
(* y y)
(*.f64 y y)
x
(* x (+ (* z (/ (sin y) x)) (cos y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
x
(+ (* z (/ (sin y) x)) (cos y))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
y
(cos y)
(cos.f64 y)
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (cos.f64 y)) x) (cos.f64 y)))
x
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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))
y
-2
#s(literal -2 binary64)
(cos y)
(cos.f64 y)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize178.0ms (1.4%)

Memory
-1.9MiB live, 240.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy99.6%
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓accuracy99.5%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓accuracy99.9%
(/.f64 (sin.f64 y) x)
✓accuracy94.3%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.9%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
✓accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)))
✓accuracy86.4%
(*.f64 z (*.f64 y y))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy99.9%
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
Samples
106.0ms256×0valid
Compiler

Compiled 209 to 38 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-cos: 33.0ms (38.7% of total)
ival-mult: 24.0ms (28.2% of total)
ival-div: 8.0ms (9.4% of total)
ival-add: 7.0ms (8.2% of total)
ival-sin: 7.0ms (8.2% of total)
const: 4.0ms (4.7% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
7.7MiB live, 82.4MiB allocated
Counts
18 → 456
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))>
#<alt (/ 1 (+ (* z (sin y)) (* x (cos y))))>
#<alt (+ (* z (sin y)) (* x (cos y)))>
#<alt (sin y)>
#<alt (+ (* z y) x)>
#<alt (+ (* y (* -1/6 (* z (* y y)))) x)>
#<alt (* -1/6 (* z (* y y)))>
#<alt (* z (* y y))>
#<alt (* y y)>
#<alt (* x (+ (* z (/ (sin y) x)) (cos y)))>
#<alt (+ (* z (/ (sin y) x)) (cos y))>
#<alt (/ (sin y) x)>
#<alt (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))>
#<alt (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (cos (* y -2))>
#<alt (* x (cos y))>
#<alt (pow (cos y) 2)>
Outputs
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)>
#<alt (/ 1 (* z (sin y)))>
#<alt (* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ x (pow y 3))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ x (pow y 3))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ x (pow y 3))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* 1/6 z))))>
#<alt x>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* z (+ (* -1/6 (pow y 3)) (/ x z)))>
#<alt (* z (+ (* -1/6 (pow y 3)) (/ x z)))>
#<alt (* z (+ (* -1/6 (pow y 3)) (/ x z)))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/6 (pow y 3)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/6 (pow y 3)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/6 (pow y 3)))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt (+ x (* -1/6 (* (pow y 3) z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (/ (* (pow y 3) z) x))))>
#<alt (* x (+ 1 (* -1/6 (/ (* (pow y 3) z) x))))>
#<alt (* x (+ 1 (* -1/6 (/ (* (pow y 3) z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/6 (/ (* (pow y 3) z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (/ (* (pow y 3) z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (/ (* (pow y 3) z) x)) 1)))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<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 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -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>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
Calls

114 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))
3.0ms
y
@0
(* -1/6 (* z (* y y)))
2.0ms
y
@inf
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms
y
@-inf
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
2.0ms
x
@0
(/ 1 (+ (* z (sin y)) (* x (cos y))))

rewrite535.0ms (4.1%)

Memory
24.3MiB live, 1 001.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 710×accelerator-lowering-fma.f32
5 710×accelerator-lowering-fma.f64
4 984×*-lowering-*.f32
4 984×*-lowering-*.f64
4 370×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036149
1196149
21562147
08557135
Stop Event
1×iter limit
1×node limit
Counts
18 → 633
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))
(/ 1 (+ (* z (sin y)) (* x (cos y))))
(+ (* z (sin y)) (* x (cos y)))
(sin y)
(+ (* z y) x)
(+ (* y (* -1/6 (* z (* y y)))) x)
(* -1/6 (* z (* y y)))
(* z (* y y))
(* y y)
(* x (+ (* z (/ (sin y) x)) (cos y)))
(+ (* z (/ (sin y) x)) (cos y))
(/ (sin y) x)
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(cos (* y -2))
(* x (cos y))
(pow (cos y) 2)
Outputs
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (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 y)))) (*.f64 z z)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 (cos.f64 y))))
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(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.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))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y))))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) (cos.f64 y))

simplify398.0ms (3%)

Memory
-25.6MiB live, 839.3MiB allocated
Algorithm
1×egg-herbie
Rules
6 640×accelerator-lowering-fma.f32
6 640×accelerator-lowering-fma.f64
6 496×*-lowering-*.f32
6 496×*-lowering-*.f64
2 500×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04354763
114244714
247624688
082914358
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
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(sin y)
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(sin y)
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(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* z (sin y))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* z (sin y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
1
(+ 1 (/ (* y z) x))
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(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (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) x)
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
x
(+ x (* y z))
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(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
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(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
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(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
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(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
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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)))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
1
(+ 1 (* -1 (pow y 2)))
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(+ 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
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1 (pow y 2)))
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(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
Outputs
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
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(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))

eval168.0ms (1.3%)

Memory
22.7MiB live, 391.3MiB allocated
Compiler

Compiled 35 351 to 2 291 computations (93.5% saved)

prune152.0ms (1.2%)

Memory
8.5MiB live, 349.4MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1 148191 167
Fresh61420
Picked235
Done033
Total1 156391 195
Accuracy
100.0%
Counts
1 195 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.6%
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.f64 y)))
50.6%
(fma.f64 (/.f64 x (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
40.2%
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓51.5%
(fma.f64 z y x)
38.1%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
50.5%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
✓40.2%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
39.4%
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
39.4%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
47.6%
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
27.8%
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
61.6%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)))
36.1%
(/.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
64.5%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
27.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
51.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
64.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
41.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
36.3%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
43.7%
(-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
51.3%
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
▶18.9%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
42.9%
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
36.7%
(*.f64 z (sin.f64 y))
14.3%
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
3.1%
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
▶13.8%
(*.f64 y z)
▶90.8%
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
✓94.2%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
▶47.3%
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
64.4%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
31.2%
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) x))
64.8%
(*.f64 x (cos.f64 y))
3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
✓41.8%
x
Compiler

Compiled 1 253 to 741 computations (40.9% saved)

simplify330.0ms (2.5%)

Memory
-8.1MiB live, 347.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 (sin.f64 y) x)
✓cost-diff1088
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.f64 y)))
✓cost-diff0
(*.f64 (*.f64 z y) (*.f64 z y))
✓cost-diff0
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))))
✓cost-diff320
(fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))
✓cost-diff320
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(fma.f64 y (/.f64 z x) #s(literal 1 binary64))
✓cost-diff1024
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
✓cost-diff-64
(*.f64 y z)
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y))
✓cost-diff640
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
Rules
4 142×*-lowering-*.f32
4 142×*-lowering-*.f64
3 684×accelerator-lowering-fma.f32
3 684×accelerator-lowering-fma.f64
3 192×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032189
193187
2223187
3584179
41132173
51889173
63096173
74171173
87925173
08219165
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y)))
x
(+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y))
(/ z x)
z
(/ 1 (/ 1 (sin y)))
1
(/ 1 (sin y))
(sin y)
y
(cos y)
(* y z)
y
z
(* x (+ (* y (/ z x)) 1))
x
(+ (* y (/ z x)) 1)
y
(/ z x)
z
1
(* (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y)))) (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y)))))
(+ (* x (* x x)) (* (* z y) (* (* z y) (* z y))))
x
(* x x)
(* (* z y) (* (* z y) (* z y)))
(* z y)
z
y
(* (* z y) (* z y))
(/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y))))
1
(+ (* x (- x (* z y))) (* (* z y) (* z y)))
(- x (* z y))
(+ (* (/ (sin y) x) (* z x)) (* x (cos y)))
(/ (sin y) x)
(sin y)
y
x
(* z x)
z
(* x (cos y))
(cos y)
Outputs
(* x (+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
x
(+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/ z x)
(/.f64 z x)
z
(/ 1 (/ 1 (sin y)))
(sin.f64 y)
1
#s(literal 1 binary64)
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(sin y)
(sin.f64 y)
y
(cos y)
(cos.f64 y)
(* y z)
(fma.f64 z y #s(literal 0 binary64))
y
z
(* x (+ (* y (/ z x)) 1))
(fma.f64 z y x)
x
(+ (* y (/ z x)) 1)
(fma.f64 z (/.f64 y x) #s(literal 1 binary64))
y
(/ z x)
(/.f64 z x)
z
1
#s(literal 1 binary64)
(* (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y)))) (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y)))))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) #s(literal 0 binary64))))
(+ (* x (* x x)) (* (* z y) (* (* z y) (* z y))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(* (* z y) (* (* z y) (* z y)))
(fma.f64 (fma.f64 z (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z y)
(fma.f64 z y #s(literal 0 binary64))
z
y
(* (* z y) (* z y))
(fma.f64 z (fma.f64 z (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ (* x (- x (* z y))) (* (* z y) (* z y)))
(fma.f64 x x (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) #s(literal 0 binary64)))
(- x (* z y))
(-.f64 x (fma.f64 z y #s(literal 0 binary64)))
(+ (* (/ (sin y) x) (* z x)) (* x (cos y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) #s(literal 0 binary64)))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
y
x
(* z x)
(fma.f64 x z #s(literal 0 binary64))
z
(* x (cos y))
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(cos y)
(cos.f64 y)

localize138.0ms (1%)

Memory
13.9MiB live, 95.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(/.f64 (sin.f64 y) x)
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy85.8%
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.f64 y)))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y))))
✓accuracy97.2%
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))))
✓accuracy95.0%
(fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))
✓accuracy31.2%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
✓accuracy100.0%
(/.f64 z x)
✓accuracy96.6%
(fma.f64 y (/.f64 z x) #s(literal 1 binary64))
✓accuracy94.8%
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
✓accuracy96.6%
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y))
✓accuracy94.3%
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
Samples
81.0ms256×0valid
Compiler

Compiled 217 to 34 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 20.0ms (43.3% of total)
ival-div: 9.0ms (19.5% of total)
ival-sin: 6.0ms (13% of total)
ival-add: 5.0ms (10.8% of total)
ival-cos: 5.0ms (10.8% of total)
ival-sub: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
-3.6MiB live, 34.7MiB allocated
Counts
18 → 492
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (sin y)))>
#<alt (* x (+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y)))>
#<alt (+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y))>
#<alt (/ z x)>
#<alt (* y z)>
#<alt (* x (+ (* y (/ z x)) 1))>
#<alt (+ (* y (/ z x)) 1)>
#<alt (* (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y)))) (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y)))))>
#<alt (+ (* x (- x (* z y))) (* (* z y) (* z y)))>
#<alt (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y))))>
#<alt (* (* z y) (* z y))>
#<alt (+ (* (/ (sin y) x) (* z x)) (* x (cos y)))>
#<alt (/ (sin y) x)>
#<alt (sin y)>
#<alt (cos y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y))))>
#<alt (* x (cos y))>
Outputs
#<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 (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) x))>
#<alt (+ (cos y) (/ (* z (sin y)) 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 (/ z x)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt (/ (* y z) x)>
#<alt (* y (+ (/ 1 y) (/ z x)))>
#<alt (* y (+ (/ 1 y) (/ z x)))>
#<alt (* y (+ (/ 1 y) (/ z x)))>
#<alt (/ (* y z) x)>
#<alt (* -1 (* y (- (* -1 (/ z x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (/ z x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (/ z x)) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt (/ (* y z) x)>
#<alt (* z (+ (/ 1 z) (/ y x)))>
#<alt (* z (+ (/ 1 z) (/ y x)))>
#<alt (* z (+ (/ 1 z) (/ y x)))>
#<alt (/ (* y z) x)>
#<alt (* -1 (* z (- (* -1 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* z (- (* -1 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* z (- (* -1 (/ y x)) (/ 1 z))))>
#<alt (/ (* y z) x)>
#<alt (/ (+ x (* y z)) x)>
#<alt (/ (+ x (* y z)) x)>
#<alt (/ (+ x (* y z)) x)>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt 1>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt (+ 1 (/ (* y z) x))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))>
#<alt (+ x (* z (- (* z (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) x)) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 2)))) (* -1 (/ x z))))>
#<alt (* z (- (+ y (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y z))) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z)) (* -1 x)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))>
#<alt (+ x (* y (- (* y (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y))))>
#<alt (* y (- (+ z (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* (pow y 3) z)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* y z))) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y)) (* -1 x)) y)))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))>
#<alt (* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))>
#<alt (pow x 3)>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))>
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))>
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))>
#<alt (pow x 3)>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))>
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))>
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))>
#<alt (* (pow y 3) (pow z 3))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 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 (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (* (pow y 2) (pow z 2)))>
#<alt (+ (/ 1 (* (pow y 2) (pow z 2))) (/ x (* (pow y 3) (pow z 3))))>
#<alt (+ (* x (+ (* -1 (/ (pow x 2) (* (pow y 5) (pow z 5)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))>
#<alt (+ (* x (+ (* (pow x 2) (- (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ (* y z) x)) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (* (pow y 3) (pow z 3))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ (* y z) x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (* -1 (/ (* (pow y 3) (pow z 3)) x))) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* y z)) x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (/ 1 (pow x 2)) (/ (* y z) (pow x 3)))>
#<alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (* -1 (/ y (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x) (/ (pow y 3) (pow x 5))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (* -1 (/ y (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (/ 1 (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (* -1 (/ x (* (pow y 3) z)))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y) (/ (pow x 3) (pow y 5))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2))>
#<alt (/ 1 (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z))) (* -1 (/ (pow x 3) (* (pow y 5) z)))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (/ 1 (pow x 2)) (/ (* y z) (pow x 3)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (* -1 (/ z (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x) (/ (pow z 3) (pow x 5))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (* -1 (/ z (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (/ 1 (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))) (pow y 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (* -1 (/ x (* y (pow z 3))))) (pow y 2))>
#<alt (/ (- (+ (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z) (/ (pow x 3) (pow z 5))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2))>
#<alt (/ 1 (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))) (pow y 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z))) (* -1 (/ (pow x 3) (* y (pow z 5))))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
Calls

123 calls:

TimeVariablePointExpression
15.0ms
z
@inf
(* x (+ (* y (/ z x)) 1))
12.0ms
y
@0
(+ (* x (- x (* z y))) (* (* z y) (* z y)))
1.0ms
x
@0
(* (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y)))) (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y)))))
1.0ms
y
@inf
(* (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y)))) (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y)))))
1.0ms
z
@inf
(* (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y)))) (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y)))))

rewrite730.0ms (5.5%)

Memory
-23.8MiB live, 376.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 476×accelerator-lowering-fma.f32
6 476×accelerator-lowering-fma.f64
4 550×*-lowering-*.f32
4 550×*-lowering-*.f64
4 392×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032136
1198136
21686136
08125128
Stop Event
1×iter limit
1×node limit
Counts
18 → 685
Calls
Call 1
Inputs
(/ 1 (/ 1 (sin y)))
(* x (+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y)))
(+ (* (/ z x) (/ 1 (/ 1 (sin y)))) (cos y))
(/ z x)
(* y z)
(* x (+ (* y (/ z x)) 1))
(+ (* y (/ z x)) 1)
(* (+ (* x (* x x)) (* (* z y) (* (* z y) (* z y)))) (/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y)))))
(+ (* x (- x (* z y))) (* (* z y) (* z y)))
(+ (* x (* x x)) (* (* z y) (* (* z y) (* z y))))
(* (* z y) (* z y))
(+ (* (/ (sin y) x) (* z x)) (* x (cos y)))
(/ (sin y) x)
(sin y)
(cos y)
(/ 1 (sin y))
(/ 1 (+ (* x (- x (* z y))) (* (* z y) (* z y))))
(* x (cos y))
Outputs
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) #s(literal -1 binary64)))
(sin.f64 y)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 x (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 z x) x) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x z)) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 x z) x) (*.f64 x (cos.f64 y)))
(fma.f64 x (*.f64 z (/.f64 (sin.f64 y) x)) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) x)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z x) (*.f64 (sin.f64 y) x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z x) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (/.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 x z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) x) (/.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x z) (/.f64 (sin.f64 y) x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (sin.f64 y) z) x) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 x x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 z (/.f64 (sin.f64 y) x)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (/.f64 z x)) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) x) x) z (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 z x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (/.f64 z x) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x z) x) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x x) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (/.f64 z x) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z (/.f64 x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z (/.f64 x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (/.f64 x x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 z x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 x #s(literal 1 binary64))) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 x #s(literal -1 binary64))) (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (/.f64 z x) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) x) (/.f64 z #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 z x) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x z) (/.f64 x #s(literal 1 binary64))) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x z) (/.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (cos.f64 y)))
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(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(cos.f64 y)
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 x (*.f64 (-.f64 x (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))) (fma.f64 z (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 (-.f64 x (*.f64 y z)) (*.f64 x (*.f64 x (-.f64 x (*.f64 y z)))))))) (/.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (-.f64 x (*.f64 y z)))) (fma.f64 z (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 (-.f64 x (*.f64 y z)) (*.f64 x (*.f64 x (-.f64 x (*.f64 y z)))))))))
(-.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
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(/.f64 (-.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (-.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 y (*.f64 z (*.f64 y z))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (-.f64 x (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (-.f64 x (*.f64 y z))))))) (neg.f64 (fma.f64 z (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (*.f64 x (-.f64 x (*.f64 y z))) (*.f64 (-.f64 x (*.f64 y z)) (*.f64 x (*.f64 x (-.f64 x (*.f64 y z)))))))))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (-.f64 x (*.f64 y z))))))
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(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)

simplify659.0ms (5%)

Memory
6.3MiB live, 478.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 252×accelerator-lowering-fma.f32
10 252×accelerator-lowering-fma.f64
4 580×*-lowering-*.f32
4 580×*-lowering-*.f64
2 072×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06214572
121054100
276154064
081443826
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
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 (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* z (sin y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
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(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
1
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(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(+ x (* y z))
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x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
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x
(+ x (* y z))
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(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
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(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
x
(+ x (* y z))
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(* y z)
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(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
1
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(* y (+ (/ 1 y) (/ z x)))
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(* y (+ (/ 1 y) (/ z x)))
(/ (* y z) x)
(* -1 (* y (- (* -1 (/ z x)) (/ 1 y))))
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(* -1 (* y (- (* -1 (/ z x)) (/ 1 y))))
1
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(/ (* y z) x)
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(/ (* y z) x)
(/ (+ x (* y z)) x)
(/ (+ x (* y z)) x)
(/ (+ x (* y z)) x)
1
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1
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(* y z)
(+ x (* y z))
(+ x (* y z))
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x
(* x (+ 1 (/ (* y z) x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))))
(* x (- (+ 1 (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x)) 1)))
x
(+ x (* y z))
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(* y z)
(* z (+ y (/ x z)))
(* z (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ y (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y z))) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z)) (* -1 x)) z)))))
x
(+ x (* y z))
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(* y z)
(* y (+ z (/ x y)))
(* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y))))
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(* y z)
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(* -1 (* y (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y)))))
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(* (pow y 2) (pow z 2))
(+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))
(* (pow y 3) (pow z 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(pow x 3)
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow y 3) (pow z 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(pow x 3)
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (pow z 3))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (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) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin 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)
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (* (pow y 2) (pow z 2)))
(+ (/ 1 (* (pow y 2) (pow z 2))) (/ x (* (pow y 3) (pow z 3))))
(+ (* x (+ (* -1 (/ (pow x 2) (* (pow y 5) (pow z 5)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))
(+ (* x (+ (* (pow x 2) (- (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))
(/ 1 (pow x 2))
(/ (+ 1 (/ (* y z) x)) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (* (pow y 3) (pow z 3))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ (* y z) x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (* -1 (/ (* (pow y 3) (pow z 3)) x))) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* y z)) x))) (pow x 2))
(/ 1 (pow x 2))
(+ (/ 1 (pow x 2)) (/ (* y z) (pow x 3)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (* -1 (/ y (pow x 3))))) (/ 1 (pow x 2)))
(+ (* z (- (* z (- (* -1 (* z (+ (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x) (/ (pow y 3) (pow x 5))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (* -1 (/ y (pow x 3))))) (/ 1 (pow x 2)))
(/ 1 (* (pow y 2) (pow z 2)))
(/ (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (* -1 (/ x (* (pow y 3) z)))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y) (/ (pow x 3) (pow y 5))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2))
(/ 1 (* (pow y 2) (pow z 2)))
(/ (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))) (pow z 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z))) (* -1 (/ (pow x 3) (* (pow y 5) z)))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ 1 (pow x 2))
(+ (/ 1 (pow x 2)) (/ (* y z) (pow x 3)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (* -1 (/ z (pow x 3))))) (/ 1 (pow x 2)))
(+ (* y (- (* y (- (* -1 (* y (+ (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x) (/ (pow z 3) (pow x 5))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (* -1 (/ z (pow x 3))))) (/ 1 (pow x 2)))
(/ 1 (* (pow y 2) (pow z 2)))
(/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (* -1 (/ x (* y (pow z 3))))) (pow y 2))
(/ (- (+ (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z) (/ (pow x 3) (pow z 5))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2))
(/ 1 (* (pow y 2) (pow z 2)))
(/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))) (pow y 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z))) (* -1 (/ (pow x 3) (* y (pow z 5))))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
Outputs
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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 (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y z #s(literal 0 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
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(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z))))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z)))))
(+ (* x (+ (* (pow x 2) (- (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z)))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ (* y z) x)) (pow x 2))
(/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))) (pow x 2))
(/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (+ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (* (pow y 3) (pow z 3))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 y (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 z #s(literal 0 binary64)))) (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ (* y z) x)) (pow x 2))
(/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))) (pow x 2))
(/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (* -1 (/ (* (pow y 3) (pow z 3)) x))) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* y z)) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x)) (fma.f64 y z #s(literal 0 binary64))) x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (/ 1 (pow x 2)) (/ (* y z) (pow x 3)))
(fma.f64 y (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (* -1 (/ y (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 z (fma.f64 z #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* z (- (* z (- (* -1 (* z (+ (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x) (/ (pow y 3) (pow x 5))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (* -1 (/ y (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 z (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 y (/.f64 (*.f64 y y) (pow.f64 x #s(literal 5 binary64))) (*.f64 y #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z))))
(/ (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (* -1 (/ x (* (pow y 3) z)))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (- (+ (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y) (/ (pow x 3) (pow y 5))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2))
(/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (fma.f64 y z #s(literal 0 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 x #s(literal 0 binary64))) (*.f64 z (*.f64 z z))))) (*.f64 z z))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z))))
(/ (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z))) (* -1 (/ (pow x 3) (* (pow y 5) z)))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (pow.f64 y #s(literal 5 binary64))))) #s(literal 0 binary64)) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 y (fma.f64 y z #s(literal 0 binary64))))))) (*.f64 z z))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (/ 1 (pow x 2)) (/ (* y z) (pow x 3)))
(fma.f64 y (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (* -1 (/ z (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 y (fma.f64 y #s(literal 0 binary64) (/.f64 z (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* y (- (* y (- (* -1 (* y (+ (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x) (/ (pow z 3) (pow x 5))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (* -1 (/ z (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (*.f64 z z) (/.f64 z (pow.f64 x #s(literal 5 binary64))) (*.f64 z #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 z (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z))))
(/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (* -1 (/ x (* y (pow z 3))))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (- (+ (* -1 (/ (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z) (/ (pow x 3) (pow z 5))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2))
(/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) (pow.f64 z #s(literal 5 binary64))) (*.f64 x #s(literal 0 binary64))) (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z))))
(/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3)))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z))) (* -1 (/ (pow x 3) (* y (pow z 5))))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (pow.f64 z #s(literal 5 binary64))))) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z)))))) (*.f64 y y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y x))))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))

eval343.0ms (2.6%)

Memory
27.5MiB live, 335.8MiB allocated
Compiler

Compiled 38 321 to 2 362 computations (93.8% saved)

prune183.0ms (1.4%)

Memory
-30.2MiB live, 511.1MiB allocated
Pruning

45 alts after pruning (37 fresh and 8 done)

PrunedKeptTotal
New1 295151 310
Fresh62228
Picked325
Done066
Total1 304451 349
Accuracy
100.0%
Counts
1 349 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) x)
46.0%
(fma.f64 (/.f64 z x) (*.f64 y x) x)
50.6%
(fma.f64 (/.f64 x (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
99.7%
(fma.f64 (/.f64 x (/.f64 x #s(literal -1 binary64))) (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
85.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (*.f64 z x) (*.f64 x (cos.f64 y)))
85.5%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 z x) (*.f64 x (cos.f64 y)))
88.7%
(fma.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 y)))
40.2%
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓51.5%
(fma.f64 z y x)
38.1%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
50.5%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
✓40.2%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
39.4%
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
39.4%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
27.8%
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
64.5%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
27.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
51.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
64.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
41.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
36.3%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
43.7%
(-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
14.4%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 (*.f64 z z) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
5.0%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z x))))))
42.9%
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
3.0%
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
36.7%
(*.f64 (sin.f64 y) z)
86.5%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
14.3%
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
3.1%
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
✓13.8%
(*.f64 y z)
66.5%
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal 1 binary64)))
90.8%
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
50.7%
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
✓94.2%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
✓47.3%
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
64.4%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
31.2%
(*.f64 x (/.f64 (*.f64 (sin.f64 y) z) x))
47.2%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))))
64.8%
(*.f64 x (cos.f64 y))
3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
✓41.8%
x
Compiler

Compiled 2 127 to 721 computations (66.1% saved)

regimes83.0ms (0.6%)

Memory
29.4MiB live, 226.5MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (/.f64 z x) (*.f64 y x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z x))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 (*.f64 z z) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 x (/.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 x (cos.f64 y)))
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 z x) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (*.f64 z x) (*.f64 x (cos.f64 y)))
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 x #s(literal -1 binary64))) (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 z (neg.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (/.f64 x (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) z)))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

21.0ms
z
20.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
x
19.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes51.0ms (0.4%)

Memory
-36.1MiB live, 128.9MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (/.f64 z x) (*.f64 y x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z x))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 (*.f64 z z) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 x (/.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
Calls

4 calls:

14.0ms
z
12.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes49.0ms (0.4%)

Memory
11.4MiB live, 129.7MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (/.f64 z x) (*.f64 y x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z x))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 (*.f64 z z) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 x (/.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal 1 binary64)))
Outputs
(*.f64 x (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) x)
(*.f64 x (cos.f64 y))
Calls

4 calls:

13.0ms
x
12.0ms
y
11.0ms
z
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
84.2%3x
80.3%5y
79.9%4z
76.3%4(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.1%)

Memory
-7.8MiB live, 30.5MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (/.f64 z x) (*.f64 y x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z x))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 (*.f64 z z) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(fma.f64 x (cos.f64 y) #s(literal 0 binary64))
(fma.f64 z (sin.f64 y) #s(literal 0 binary64))
(*.f64 x (/.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 x (/.f64 (*.f64 (sin.f64 y) z) x))
Outputs
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
80.1%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory
0.1MiB live, 81.8MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (/.f64 z x) (*.f64 y x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z x))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 (*.f64 z z) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(*.f64 x (cos.f64 y))
Calls

3 calls:

11.0ms
y
10.0ms
z
8.0ms
x
Results
AccuracySegmentsBranch
76.1%3y
71.7%3z
70.9%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.3%)

Memory
17.1MiB live, 94.4MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (/.f64 z x) (*.f64 y x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) x) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x) z)))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z x))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 (*.f64 z z) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 z y)))))
Outputs
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
Calls

4 calls:

10.0ms
x
10.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms
z
8.0ms
y
Results
AccuracySegmentsBranch
51.6%1x
51.6%1z
51.6%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.6%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.2%)

Memory
11.1MiB live, 49.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z y)) y x)
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Outputs
(fma.f64 z y x)
Calls

4 calls:

6.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
51.5%1x
51.5%1z
51.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.5%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
-17.8MiB live, 24.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
x
(*.f64 y z)
Outputs
x
(*.f64 y z)
Calls

4 calls:

4.0ms
z
2.0ms
x
2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
Results
AccuracySegmentsBranch
45.1%3x
41.8%1y
45.1%2z
41.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
41.8%1x
41.8%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch32.0ms (0.2%)

Memory
-0.8MiB live, 77.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
8.851049523415003e+59
8.854161049052386e+62
14.0ms
-1.3365753841016024e+105
-2.715591888979792e+104
Samples
22.0ms224×0valid
Compiler

Compiled 309 to 210 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39.8% of total)
ival-cos: 5.0ms (33.1% of total)
ival-mult: 3.0ms (19.9% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
-24.9MiB live, 58.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.67999847992547e-78
4.1994340843520454e-76
12.0ms
-2.538572837882947e-48
-1.0907309802557501e-48
Samples
19.0ms192×0valid
Compiler

Compiled 207 to 158 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 4.0ms (33.9% of total)
ival-sin: 4.0ms (33.9% of total)
ival-mult: 2.0ms (16.9% of total)
ival-add: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
11.4MiB live, 89.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.0503979992940677e-6
35553785.802829176
15.0ms
-5.462509468552994
-5.516053407982772e-14
Samples
21.0ms320×0valid
Compiler

Compiled 475 to 314 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (32.5% of total)
ival-cos: 3.0ms (24.4% of total)
ival-sin: 3.0ms (24.4% of total)
ival-add: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
7.3MiB live, 46.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
5.435877198539996e+131
5.557305739448833e+140
Samples
15.0ms144×0valid
Compiler

Compiled 123 to 95 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (32.9% of total)
ival-sin: 3.0ms (32.9% of total)
ival-mult: 2.0ms (21.9% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
6×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039103
153103
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -275000000000000008483982431133620176945503630347061244674319379272392793203520538179891892105283597500416 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 2300000000000000169039949724462219605673577415229870444642304 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) x) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7240220052213307/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -3458764513820541/2305843009213693952 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1080863910568919/288230376151711744 binary64)) (fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x) (*.f64 x (cos.f64 y))))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 z y x)
(if (<=.f64 z #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) x (*.f64 y z))
x
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -275000000000000008483982431133620176945503630347061244674319379272392793203520538179891892105283597500416 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 2300000000000000169039949724462219605673577415229870444642304 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) x) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7240220052213307/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7240220052213307/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -3458764513820541/2305843009213693952 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1080863910568919/288230376151711744 binary64)) (fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x) (*.f64 x (cos.f64 y))))
(fma.f64 y (fma.f64 y (*.f64 (*.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 z y x)
(if (<=.f64 z #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) x (*.f64 y z))
x

soundness1.1s (8.2%)

Memory
8.2MiB live, 1 040.6MiB allocated
Rules
11 652×accelerator-lowering-fma.f32
11 652×accelerator-lowering-fma.f64
11 480×accelerator-lowering-fma.f32
11 480×accelerator-lowering-fma.f64
10 252×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036149
1196149
21562147
08557135
0821
12421
218021
3185321
0839520
0109682
1343678
2987666
32638660
44676660
57002660
08182604
04354763
114244714
247624688
082914358
010459226
136589098
085108673
06214572
121054100
276154064
081443826
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 350 to 186 computations (46.9% saved)

preprocess136.0ms (1%)

Memory
-5.6MiB live, 204.2MiB allocated
Compiler

Compiled 254 to 94 computations (63% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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