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

Time bar (total: 12.3s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.1s (8.7%)

Memory
17.3MiB live, 1 478.2MiB allocated
Samples
853.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 540.0ms
ival-sin: 204.0ms (37.8% of total)
ival-cos: 162.0ms (30% of total)
ival-mult: 125.0ms (23.1% of total)
ival-add: 40.0ms (7.4% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess51.0ms (0.4%)

Memory
-18.9MiB live, 64.9MiB allocated
Algorithm
2×egg-herbie
Rules
164×unsub-neg
162×associate-*r*
148×associate-*l*
136×distribute-lft-neg-in
108×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain104.0ms (0.8%)

Memory
-7.9MiB live, 185.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
51.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 11.0ms (35.8% of total)
ival-cos: 10.0ms (32.5% of total)
ival-mult: 6.0ms (19.5% of total)
ival-add: 2.0ms (6.5% 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
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
8×accelerator-lowering-fma.f32
8×accelerator-lowering-fma.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

localize33.0ms (0.3%)

Memory
3.3MiB live, 42.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.8%
(*.f64 z (cos.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39.9% of total)
ival-cos: 5.0ms (33.2% 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)

series8.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (cos y)>
Outputs
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
Calls

27 calls:

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

rewrite491.0ms (4%)

Memory
-6.2MiB live, 722.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 256×accelerator-lowering-fma.f32
11 256×accelerator-lowering-fma.f64
4 178×*-lowering-*.f32
4 178×*-lowering-*.f64
3 938×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12421
218021
3185321
0821320
Stop Event
1×iter limit
1×node limit
Counts
5 → 176
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(sin y)
(* z (cos y))
(cos y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (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 (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 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 (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (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 (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64))))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (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 (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.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 (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)

simplify361.0ms (2.9%)

Memory
-9.7MiB live, 624.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 858×accelerator-lowering-fma.f32
12 858×accelerator-lowering-fma.f64
4 718×*-lowering-*.f32
4 718×*-lowering-*.f64
2 178×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2991668
32652662
44669662
56964662
08196606
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 x (*.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)) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 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))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 z (*.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)) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
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 (*.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 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)

eval32.0ms (0.3%)

Memory
5.3MiB live, 80.0MiB allocated
Compiler

Compiled 9 985 to 555 computations (94.4% saved)

prune48.0ms (0.4%)

Memory
-3.4MiB live, 114.3MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New26717284
Fresh000
Picked101
Done000
Total26817285
Accuracy
99.9%
Counts
285 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.2%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.9%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
49.7%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
49.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
51.2%
(fma.f64 y x z)
57.6%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
44.1%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
33.2%
(/.f64 (-.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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
44.1%
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
44.8%
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
14.1%
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 (sin.f64 y)) #s(literal 4 binary64)))))
61.4%
(*.f64 z (cos.f64 y))
▶40.0%
(*.f64 x (sin.f64 y))
▶40.3%
z
Compiler

Compiled 982 to 444 computations (54.8% saved)

simplify671.0ms (5.5%)

Memory
-5.1MiB live, 453.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x (sin.f64 y)))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
✓cost-diff14016
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Rules
10 168×accelerator-lowering-fma.f32
10 168×accelerator-lowering-fma.f64
2 500×*-lowering-*.f32
2 500×*-lowering-*.f64
1 584×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027237
165237
2162236
3472236
41410236
53148236
65329228
76706228
87876228
08132219
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
y
z
(* x (sin y))
x
(sin y)
z
(* x (sin y))
x
(sin y)
y
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
1
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(+ (* z (cos y)) (* x (sin y)))
z
(cos y)
y
(* x (sin y))
x
(sin y)
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(* x (* x (sin y)))
x
(* x (sin y))
(sin y)
y
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(- (* x (sin y)) (* z (cos y)))
(* z (cos y))
z
(cos y)
(neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(* z z)
Outputs
(+ (* (cos y) z) (* x (sin y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos y)
(cos.f64 y)
y
z
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
z
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(+ (* z (cos y)) (* x (sin y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
z
(cos y)
(cos.f64 y)
y
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (fma.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y))))))
(* x (* x (sin y)))
(*.f64 x (*.f64 x (sin.f64 y)))
x
(* x (sin y))
(*.f64 x (sin.f64 y))
(sin y)
(sin.f64 y)
y
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))
(- (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 (cos.f64 y) z)
z
(cos y)
(cos.f64 y)
(neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) z (neg.f64 (*.f64 x (sin.f64 y))))))
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(+ 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)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))
(* z z)
(*.f64 z z)

localize115.0ms (0.9%)

Memory
12.2MiB live, 243.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy79.5%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓accuracy67.6%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓accuracy99.9%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
Samples
71.0ms256×0valid
Compiler

Compiled 239 to 29 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 12.0ms (27.9% of total)
ival-cos: 11.0ms (25.6% of total)
ival-div: 6.0ms (13.9% of total)
ival-sin: 6.0ms (13.9% of total)
ival-add: 5.0ms (11.6% of total)
ival-sub: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
6.5MiB live, 89.0MiB allocated
Counts
13 → 372
Calls
Call 1
Inputs
#<alt (+ (* (cos y) z) (* x (sin y)))>
#<alt (cos y)>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))>
#<alt (/ 1 (+ (* z (cos y)) (* x (sin y))))>
#<alt (+ (* z (cos y)) (* x (sin y)))>
#<alt (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))>
#<alt (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (* x (* x (sin y)))>
#<alt (/ (* z z) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
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#<alt (* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))>
#<alt (/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))>
#<alt (* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) y)>
#<alt (* y (+ (* -1/6 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* 1/120 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* -1/5040 (* (pow x 2) (pow y 2))) (* 1/120 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (* (pow x 2) (sin y))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))>
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))>
#<alt (* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (* x y)))>
#<alt (+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)))>
#<alt (* y (- (* y (- (* y (- (* 1/6 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)))>
#<alt (* y (- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/6 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) z)) (+ (* -1/6 (/ x (pow z 2))) (* 1/2 (/ x (pow z 2))))))) (* 1/6 (/ 1 z))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (* -1 (/ (sin y) (* z (cos y))))>
#<alt (+ (* -1 (/ (sin y) (* z (cos y)))) (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))))>
#<alt (+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))>
#<alt (+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (* z (cos y)) (* x (sin y)))) x)>
#<alt (/ (- (+ 1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* z (cos y)) (* x (sin y))))) x)>
#<alt (/ (- (+ 1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3)))) (+ (* -1 (/ (* z (cos y)) (* x (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* z (cos y)) (* (pow x 2) (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 2)))))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))>
#<alt (* -1 (/ (sin y) (* z (cos y))))>
#<alt (/ (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))))) z)>
#<alt (/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) z)>
#<alt (* -1 (/ (sin y) (* z (cos y))))>
#<alt (* -1 (/ (+ (/ (sin y) (cos y)) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 3)))) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
3.0ms
x
@0
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
3.0ms
y
@inf
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms
z
@inf
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms
x
@0
(neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))

rewrite999.0ms (8.1%)

Memory
31.2MiB live, 1 685.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 296×/-lowering-/.f32
5 296×/-lowering-/.f64
5 142×accelerator-lowering-fma.f32
5 142×accelerator-lowering-fma.f64
4 842×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027117
1162107
21246107
08420102
Stop Event
1×iter limit
1×node limit
Counts
13 → 2 566
Calls
Call 1
Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
(* x (sin y))
(sin y)
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(+ (* z (cos y)) (* x (sin y)))
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(* x (* x (sin y)))
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.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 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 z z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 z z)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 z z))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) z)
(*.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 1 binary64))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))) (/.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 z (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))))) (/.f64 z (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) (/.f64 (sin.f64 y) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (sin.f64 y) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))

simplify583.0ms (4.7%)

Memory
-15.9MiB live, 751.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 966×accelerator-lowering-fma.f32
6 966×accelerator-lowering-fma.f64
6 552×*-lowering-*.f32
6 552×*-lowering-*.f64
3 824×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09347633
133497388
081197028
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
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(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))
(* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) y)
(* y (+ (* -1/6 (* (pow x 2) (pow y 2))) (pow x 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* 1/120 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* -1/5040 (* (pow x 2) (pow y 2))) (* 1/120 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(* (pow x 2) (sin y))
(/ (pow z 2) (* x (sin y)))
(* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))
(* -1 (/ z (cos y)))
(* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))
(* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))
(* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))
(* -1 (/ z (cos y)))
(* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))
(* -1 (/ z (cos y)))
(+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))
(+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))
(+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))
(/ (pow z 2) (* x (sin y)))
(/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)
(/ (pow z 2) (* x (sin y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 z)
(+ (* -1 z) (* -1 (* x y)))
(+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(* -1 (/ y z))
(* y (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)))
(* y (- (* y (- (* y (- (* 1/6 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)))
(* y (- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/6 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) z)) (+ (* -1/6 (/ x (pow z 2))) (* 1/2 (/ x (pow z 2))))))) (* 1/6 (/ 1 z))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(* -1 (/ (sin y) (* z (cos y))))
(+ (* -1 (/ (sin y) (* z (cos y)))) (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))))
(+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))
(+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))
(/ 1 x)
(/ (+ 1 (/ (* z (cos y)) (* x (sin y)))) x)
(/ (- (+ 1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* z (cos y)) (* x (sin y))))) x)
(/ (- (+ 1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3)))) (+ (* -1 (/ (* z (cos y)) (* x (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ (* z (cos y)) (* (pow x 2) (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 2)))))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))
(* -1 (/ (sin y) (* z (cos y))))
(/ (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))))) z)
(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) z)
(* -1 (/ (sin y) (* z (cos y))))
(* -1 (/ (+ (/ (sin y) (cos y)) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 3)))) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
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)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* 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))))
(fma.f64 y (*.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))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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(/ 1 x)
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(/ (- (+ 1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* z (cos y)) (* x (sin y))))) x)
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(/ (- (+ 1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3)))) (+ (* -1 (/ (* z (cos y)) (* x (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))))) x)
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(/ 1 x)
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(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x))
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* z (cos y)) (* (pow x 2) (sin y))))
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(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 2)))))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (sin y) (* z (cos y))))
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(/ (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))))) z)
(/.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (cos.f64 y))) (neg.f64 z))
(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)
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(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) z)
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(/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))
(/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (*.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))

eval689.0ms (5.6%)

Memory
-100.5MiB live, 1 062.3MiB allocated
Compiler

Compiled 211 136 to 4 674 computations (97.8% saved)

prune418.0ms (3.4%)

Memory
31.7MiB live, 709.4MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New3 161243 185
Fresh7512
Picked235
Done000
Total3 170323 202
Accuracy
100.0%
Counts
3 202 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(fma.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
49.7%
(fma.f64 (*.f64 (/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 x x)) (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
58.0%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
▶99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
49.7%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
49.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
32.7%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
51.2%
(fma.f64 y x z)
99.0%
(fma.f64 x (/.f64 (*.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 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
57.6%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
61.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
35.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
49.2%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))
▶60.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))
▶49.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
51.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
▶40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
47.4%
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
92.4%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
61.0%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
61.4%
(*.f64 z (cos.f64 y))
14.3%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
14.3%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
90.1%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
14.3%
(*.f64 x (fma.f64 y (*.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))) y))
✓40.0%
(*.f64 x (sin.f64 y))
▶14.4%
(*.f64 x y)
✓40.3%
z
Compiler

Compiled 1 230 to 679 computations (44.8% saved)

simplify411.0ms (3.3%)

Memory
-25.2MiB live, 712.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓cost-diff128
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))
✓cost-diff6144
(fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x)
✓cost-diff0
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 (cos.f64 y) z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Rules
15 394×accelerator-lowering-fma.f32
15 394×accelerator-lowering-fma.f64
3 494×*-lowering-*.f32
3 494×*-lowering-*.f64
2 108×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032185
169185
2161183
3402181
41089181
52843181
64663181
75640181
86144181
96453181
106567181
116646181
127986181
08493170
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sin y) x) (* (cos y) z))
(sin y)
y
x
(* (cos y) z)
(cos y)
z
(* x y)
x
y
(/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))
1
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
(+ (* y (+ (* -1/2 (* z y)) x)) z)
y
(+ (* -1/2 (* z y)) x)
-1/2
(* z y)
z
x
(/ 1 (/ 1 (* x (sin y))))
1
(/ 1 (* x (sin y)))
(* x (sin y))
x
(sin y)
y
(/ 1 (/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z)))
1
(/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z))
(+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y)))
x
(/ (sin y) (* z (pow (cos y) 2)))
(sin y)
y
(* z (pow (cos y) 2))
z
(pow (cos y) 2)
(cos y)
2
(/ -1 (cos y))
-1
(neg z)
Outputs
(+ (* (sin y) x) (* (cos y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin y)
(sin.f64 y)
y
x
(* (cos y) z)
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
z
(* x y)
(*.f64 y x)
x
y
(/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
1
#s(literal 1 binary64)
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
(+ (* y (+ (* -1/2 (* z y)) x)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
y
(+ (* -1/2 (* z y)) x)
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)
-1/2
#s(literal -1/2 binary64)
(* z y)
(*.f64 y z)
z
x
(/ 1 (/ 1 (* x (sin y))))
(*.f64 (sin.f64 y) x)
1
#s(literal 1 binary64)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
x
(sin y)
(sin.f64 y)
y
(/ 1 (/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z)))
(/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (fma.f64 (sin.f64 y) (/.f64 x (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (fma.f64 (sin.f64 y) (/.f64 x (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) z)
(+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (sin.f64 y) (/.f64 x (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
x
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(sin y)
(sin.f64 y)
y
(* z (pow (cos y) 2))
(*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
z
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos y)
(cos.f64 y)
2
#s(literal 2 binary64)
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
-1
#s(literal -1 binary64)
(neg z)
(neg.f64 z)

localize152.0ms (1.2%)

Memory
-9.7MiB live, 260.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal -1 binary64) (cos.f64 y))
✓accuracy99.7%
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x)
✓accuracy99.9%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓accuracy99.8%
(*.f64 (cos.f64 y) z)
Samples
115.0ms256×0valid
Compiler

Compiled 184 to 34 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-sin: 36.0ms (44.1% of total)
ival-div: 16.0ms (19.6% of total)
ival-mult: 15.0ms (18.4% of total)
ival-add: 5.0ms (6.1% of total)
ival-cos: 5.0ms (6.1% of total)
ival-pow2: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
36.4MiB live, 114.2MiB allocated
Counts
18 → 480
Calls
Call 1
Inputs
#<alt (+ (* (sin y) x) (* (cos y) z))>
#<alt (sin y)>
#<alt (* (cos y) z)>
#<alt (cos y)>
#<alt (* x y)>
#<alt (/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))>
#<alt (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))>
#<alt (+ (* y (+ (* -1/2 (* z y)) x)) z)>
#<alt (+ (* -1/2 (* z y)) x)>
#<alt (/ 1 (/ 1 (* x (sin y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y)))>
#<alt (/ 1 (/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z)))>
#<alt (/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (pow (cos y) 2)>
#<alt (/ -1 (cos y))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 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 y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* x y)>
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#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (- (+ (cos y) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (/ (* x (sin y)) z))))>
#<alt (* z (- (+ (cos y) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1 (/ (* x (sin y)) z)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y))) (* -1 (* x (sin y)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* -1 (* x (sin y)))) z)))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))>
#<alt (* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))>
#<alt (* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))>
#<alt (* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))>
#<alt (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))>
#<alt (* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))>
#<alt (* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))>
#<alt (* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (+ (* -1 (/ x (pow z 2))) (* 1/2 (/ y z)))) (/ 1 z))>
#<alt (+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/6 (/ x (pow z 2))) (* -1 (/ x (pow z 2)))))) (* 1/2 (/ 1 z)))))) (/ 1 z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (/ y z)>
#<alt (* y (+ (* 5/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (+ (* 61/120 (/ (pow y 2) z)) (* 5/6 (/ 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 277/1008 (/ (pow y 2) z)) (* 61/120 (/ 1 z)))) (* 5/6 (/ 1 z)))) (/ 1 z)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt (/ (sin y) (* z (pow (cos y) 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (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)>
#<alt -1>
#<alt (- (* -1/2 (pow y 2)) 1)>
#<alt (- (* (pow y 2) (- (* -5/24 (pow y 2)) 1/2)) 1)>
#<alt (- (* (pow y 2) (- (* (pow y 2) (- (* -61/720 (pow y 2)) 5/24)) 1/2)) 1)>
#<alt (/ -1 (cos y))>
#<alt (/ -1 (cos y))>
#<alt (/ -1 (cos y))>
#<alt (/ -1 (cos y))>
#<alt (/ -1 (cos y))>
#<alt (/ -1 (cos y))>
#<alt (/ -1 (cos y))>
#<alt (/ -1 (cos y))>
Calls

120 calls:

TimeVariablePointExpression
7.0ms
z
@0
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
3.0ms
z
@-inf
(+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y)))
2.0ms
z
@inf
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
1.0ms
y
@-inf
(+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y)))
1.0ms
y
@inf
(+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y)))

rewrite435.0ms (3.5%)

Memory
-16.7MiB live, 747.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 482×accelerator-lowering-fma.f32
6 482×accelerator-lowering-fma.f64
4 672×*-lowering-*.f32
4 672×*-lowering-*.f64
4 312×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032149
1180147
21350147
08116136
Stop Event
1×iter limit
1×node limit
Counts
18 → 833
Calls
Call 1
Inputs
(+ (* (sin y) x) (* (cos y) z))
(sin y)
(* (cos y) z)
(cos y)
(* x y)
(/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
(+ (* y (+ (* -1/2 (* z y)) x)) z)
(+ (* -1/2 (* z y)) x)
(/ 1 (/ 1 (* x (sin y))))
(/ 1 (* x (sin y)))
(* x (sin y))
(+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y)))
(/ 1 (/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z)))
(/ (+ (* x (/ (sin y) (* z (pow (cos y) 2)))) (/ -1 (cos y))) (neg z))
(/ (sin y) (* z (pow (cos y) 2)))
(pow (cos y) 2)
(/ -1 (cos y))
Outputs
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(-.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(-.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) (/.f64 x #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 x (/.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) x (*.f64 (cos.f64 y) z))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.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 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.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 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (sin.f64 y) (*.f64 x (*.f64 (cos.f64 y) z))))))
(/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.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 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (sin.f64 y) (*.f64 x (*.f64 (cos.f64 y) z)))))))
(/.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(/.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 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (-.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (*.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (neg.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 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))
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(/.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 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))

simplify498.0ms (4%)

Memory
-13.0MiB live, 670.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 584×accelerator-lowering-fma.f32
8 584×accelerator-lowering-fma.f64
7 148×*-lowering-*.f32
7 148×*-lowering-*.f64
3 136×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07136070
123705940
082915594
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
z
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(* z (cos y))
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(* z (cos y))
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(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
1
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
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(cos y)
(cos y)
(cos y)
(cos y)
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(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* x y) (* z (pow (- (* 1/2 (pow y 2)) 1) 2)))) z))
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-1
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(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(/ (* x (sin y)) (* z (pow (cos y) 2)))
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z)
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z)
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z)
(/ -1 (cos y))
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(/ -1 (cos y))
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* z (cos y)))
(+ (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* z (cos y)))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x)
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4))))))) x)
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x))
z
(+ z (* x y))
(+ z (* y (+ x (* y (+ (* -1/2 z) (/ (pow x 2) z))))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (+ (* y (+ (* -1/2 x) (+ (* z (- (* -1/6 (/ x z)) (* -1 (/ x z)))) (/ (* x (+ (* -1/2 z) (/ (pow x 2) z))) z)))) (/ (pow x 2) z)))))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ z (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(* (pow z 2) (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* x (sin y))))))
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))))
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3))))))))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (- (+ (cos y) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (cos y) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1 (/ (* x (sin y)) z)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y))) (* -1 (* x (sin y)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* -1 (* x (sin y)))) z)))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))
(* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))
(* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))
(* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (+ (* -1 (/ x (pow z 2))) (* 1/2 (/ y z)))) (/ 1 z))
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/6 (/ x (pow z 2))) (* -1 (/ x (pow z 2)))))) (* 1/2 (/ 1 z)))))) (/ 1 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/ y z)
(* y (+ (* 5/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (+ (* 61/120 (/ (pow y 2) z)) (* 5/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 277/1008 (/ (pow y 2) z)) (* 61/120 (/ 1 z)))) (* 5/6 (/ 1 z)))) (/ 1 z)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
(/ (sin y) (* z (pow (cos y) 2)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(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)
-1
(- (* -1/2 (pow y 2)) 1)
(- (* (pow y 2) (- (* -5/24 (pow y 2)) 1/2)) 1)
(- (* (pow y 2) (- (* (pow y 2) (- (* -61/720 (pow y 2)) 5/24)) 1/2)) 1)
(/ -1 (cos y))
(/ -1 (cos y))
(/ -1 (cos y))
(/ -1 (cos y))
(/ -1 (cos y))
(/ -1 (cos y))
(/ -1 (cos y))
(/ -1 (cos y))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 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)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
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(fma.f64 x (/.f64 (sin.f64 y) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(fma.f64 x (/.f64 (sin.f64 y) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))
(/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))
(fma.f64 x (/.f64 (sin.f64 y) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (*.f64 x (*.f64 z (cos.f64 y)))))
(* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))
(fma.f64 x (/.f64 (sin.f64 y) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (*.f64 x (*.f64 z (cos.f64 y)))))
(* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* x (* z (cos y))))))
(fma.f64 x (/.f64 (sin.f64 y) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (*.f64 x (*.f64 z (cos.f64 y)))))
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))
(/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 (sin.f64 y) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (cos.f64 y))))))
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 (sin.f64 y) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (cos.f64 y))))))
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y)))))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 (sin.f64 y) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (cos.f64 y))))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z))))
(+ (* y (+ (* -1 (/ x (pow z 2))) (* 1/2 (/ y z)))) (/ 1 z))
(fma.f64 y (-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/6 (/ x (pow z 2))) (* -1 (/ x (pow z 2)))))) (* 1/2 (/ 1 z)))))) (/ 1 z))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 x (/.f64 y (*.f64 z z))) #s(literal 5/6 binary64))) (/.f64 (neg.f64 x) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2))))
(/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2))
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(/ y z)
(/.f64 y z)
(* y (+ (* 5/6 (/ (pow y 2) z)) (/ 1 z)))
(fma.f64 y (*.f64 #s(literal 5/6 binary64) (/.f64 (*.f64 y y) z)) (/.f64 y z))
(* y (+ (* (pow y 2) (+ (* 61/120 (/ (pow y 2) z)) (* 5/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) z)) y) (/.f64 y z))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 277/1008 (/ (pow y 2) z)) (* 61/120 (/ 1 z)))) (* 5/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 277/1008 binary64) (/.f64 #s(literal 61/120 binary64) z)) (/.f64 #s(literal 5/6 binary64) z)) (/.f64 y z))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (sin y) (* z (pow (cos y) 2)))
(/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
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 (*.f64 y y) (fma.f64 y (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))
-1
#s(literal -1 binary64)
(- (* -1/2 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* (pow y 2) (- (* -5/24 (pow y 2)) 1/2)) 1)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -5/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(- (* (pow y 2) (- (* (pow y 2) (- (* -61/720 (pow y 2)) 5/24)) 1/2)) 1)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -61/720 binary64) #s(literal -5/24 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))
(/ -1 (cos y))
(/.f64 #s(literal -1 binary64) (cos.f64 y))

eval416.0ms (3.4%)

Memory
39.6MiB live, 410.1MiB allocated
Compiler

Compiled 36 239 to 3 652 computations (89.9% saved)

prune402.0ms (3.3%)

Memory
-51.4MiB live, 380.6MiB allocated
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New1 355221 377
Fresh111324
Picked235
Done033
Total1 368411 409
Accuracy
100.0%
Counts
1 409 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
49.6%
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
✓99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
77.6%
(fma.f64 (sin.f64 y) x z)
✓99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
38.0%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
49.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
32.7%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
▶51.2%
(fma.f64 y x z)
57.6%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
61.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))
39.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
▶14.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
60.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (/.f64 z (cos.f64 y)))) z) (neg.f64 z)))
59.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y))))))) (neg.f64 z)))
▶39.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
61.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (neg.f64 z)))
10.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
37.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
45.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z x) #s(literal -1 binary64)))) z)))
✓40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
▶14.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
39.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)))
49.7%
(+.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) z)
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
21.7%
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
40.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y))
18.3%
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
61.0%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
3.0%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
61.4%
(*.f64 z (cos.f64 y))
14.3%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
14.3%
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
▶90.1%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
14.3%
(*.f64 x (fma.f64 y (*.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))) y))
✓40.0%
(*.f64 x (sin.f64 y))
✓14.4%
(*.f64 x y)
✓40.3%
z
Compiler

Compiled 1 304 to 768 computations (41.1% saved)

simplify389.0ms (3.2%)

Memory
24.2MiB live, 335.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x)
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
✓cost-diff0
(/.f64 (*.f64 y y) x)
✓cost-diff384
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y)
✓cost-diff704
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓cost-diff0
(fma.f64 y x z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 (cos.f64 y) x)
✓cost-diff0
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓cost-diff704
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
Rules
5 990×*-lowering-*.f32
5 990×*-lowering-*.f64
4 076×/-lowering-/.f32
4 076×/-lowering-/.f64
3 356×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026130
156126
299124
3158124
4364122
5699116
61052116
71672116
82480116
92748116
102856116
112999116
123203116
133478116
143821116
154240116
164727116
174939116
185030116
195123116
205185116
215247116
225728116
08564110
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* z (/ (cos y) x)) (sin y)))
x
(+ (* z (/ (cos y) x)) (sin y))
z
(/ (cos y) x)
(cos y)
y
(sin y)
(+ (* y x) z)
y
x
z
(/ 1 (/ 1 (* x y)))
1
(/ 1 (* x y))
(* x y)
x
y
(/ 1 (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y))
1
(/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y)
(+ (* 1/6 (/ (* y y) x)) (/ 1 x))
1/6
(/ (* y y) x)
(* y y)
y
x
(/ 1 x)
(/ 1 (/ (/ 1 (sin y)) x))
1
(/ (/ 1 (sin y)) x)
(/ 1 (sin y))
(sin y)
y
x
Outputs
(* x (+ (* z (/ (cos y) x)) (sin y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
x
(+ (* z (/ (cos y) x)) (sin y))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
z
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
y
(sin y)
(sin.f64 y)
(+ (* y x) z)
(fma.f64 x y z)
y
x
z
(/ 1 (/ 1 (* x y)))
(*.f64 x y)
1
#s(literal 1 binary64)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
x
y
(/ 1 (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y))
(/.f64 (*.f64 x y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(+ (* 1/6 (/ (* y y) x)) (/ 1 x))
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
1/6
#s(literal 1/6 binary64)
(/ (* y y) x)
(/.f64 (*.f64 y y) x)
(* y y)
(*.f64 y y)
y
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (/ (/ 1 (sin y)) x))
(*.f64 x (sin.f64 y))
1
#s(literal 1 binary64)
(/ (/ 1 (sin y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(sin y)
(sin.f64 y)
y
x

localize101.0ms (0.8%)

Memory
13.8MiB live, 214.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x)
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
✓accuracy99.9%
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
✓accuracy85.5%
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y)
✓accuracy84.0%
(/.f64 (*.f64 y y) x)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓accuracy100.0%
(fma.f64 y x z)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓accuracy99.8%
(/.f64 (cos.f64 y) x)
✓accuracy90.3%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
Samples
73.0ms256×0valid
Compiler

Compiled 130 to 28 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 25.0ms (44.8% of total)
ival-mult: 10.0ms (17.9% of total)
ival-cos: 7.0ms (12.5% of total)
ival-sin: 5.0ms (9% of total)
const: 5.0ms (9% of total)
ival-add: 3.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
12.3MiB live, 85.7MiB allocated
Counts
16 → 384
Calls
Call 1
Inputs
#<alt (* x (+ (* z (/ (cos y) x)) (sin y)))>
#<alt (+ (* z (/ (cos y) x)) (sin y))>
#<alt (/ (cos y) x)>
#<alt (cos y)>
#<alt (+ (* y x) z)>
#<alt (/ 1 (/ 1 (* x y)))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (/ 1 (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y))>
#<alt (+ (* 1/6 (/ (* y y) x)) (/ 1 x))>
#<alt (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y)>
#<alt (/ (* y y) x)>
#<alt (/ 1 (/ (/ 1 (sin y)) x))>
#<alt (/ (/ 1 (sin y)) x)>
#<alt (/ 1 (sin y))>
#<alt (sin y)>
Outputs
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ z x)>
#<alt (+ y (/ z x))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) x)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) x)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) x)>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<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>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x)))))>
#<alt (* 6 (/ x y))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) y)>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) y)>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) y)>
#<alt (* 6 (/ x y))>
#<alt (* -1 (/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* -36 (/ x (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -6 x) (* 1296 (/ x (pow y 6)))) (+ (* -36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) y))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x y) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* -1 (/ (* x y) (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ (* x y) (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ (* x y) (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ (* x y) (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (* 1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* 1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) x))>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) x))>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) x))>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) x))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)>
#<alt (/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)>
#<alt (/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)>
#<alt (* 1/6 (/ y x))>
#<alt (* y (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* y (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* y (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* 1/6 (/ y x))>
#<alt (* y (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* y (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* y (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) (* x y))>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) (* x y)))>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) (* x y)))>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) (* x y)))>
#<alt (* -1 (/ (- (* -1/6 (pow y 2)) 1) (* x y)))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) y)>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin 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 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

96 calls:

TimeVariablePointExpression
15.0ms
y
@0
(+ (* 1/6 (/ (* y y) x)) (/ 1 x))
2.0ms
z
@-inf
(* x (+ (* z (/ (cos y) x)) (sin y)))
1.0ms
x
@0
(/ 1 (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y))
1.0ms
x
@-inf
(/ 1 (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y))
1.0ms
x
@inf
(/ 1 (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y))

rewrite340.0ms (2.8%)

Memory
-34.6MiB live, 648.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 888×accelerator-lowering-fma.f32
5 888×accelerator-lowering-fma.f64
3 898×*-lowering-*.f32
3 898×*-lowering-*.f64
3 488×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026106
1158100
21176100
0849694
Stop Event
1×iter limit
1×node limit
Counts
16 → 677
Calls
Call 1
Inputs
(* x (+ (* z (/ (cos y) x)) (sin y)))
(+ (* z (/ (cos y) x)) (sin y))
(/ (cos y) x)
(cos y)
(+ (* y x) z)
(/ 1 (/ 1 (* x y)))
(/ 1 (* x y))
(* x y)
(/ 1 (/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y))
(+ (* 1/6 (/ (* y y) x)) (/ 1 x))
(/ (+ (* 1/6 (/ (* y y) x)) (/ 1 x)) y)
(/ (* y y) x)
(/ 1 (/ (/ 1 (sin y)) x))
(/ (/ 1 (sin y)) x)
(/ 1 (sin y))
(sin y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(+.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y)))
(-.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (neg.f64 (*.f64 x (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y)))))
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 z (*.f64 (/.f64 (cos.f64 y) x) x) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) x (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 x) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (neg.f64 (sin.f64 y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (neg.f64 x) (neg.f64 (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) x)) z (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))) (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (*.f64 x (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (-.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)))
(/.f64 (fma.f64 x x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 x (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(/.f64 (fma.f64 x x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z (cos.f64 y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 x (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) x))
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 z (cos.f64 y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (*.f64 x (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 z (cos.f64 y)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) x))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 x (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) x))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 x x)) (*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (neg.f64 x)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 x (neg.f64 x))) (*.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 x x)) (*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(/.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (neg.f64 x)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))))
(/.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 x (neg.f64 x))) (*.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) x) (*.f64 x (sin.f64 y))))))))
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(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sin.f64 y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #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) (neg.f64 (sin.f64 y)))
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(pow.f64 (sin.f64 y) #s(literal -1 binary64))
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(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64))
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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)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)))

simplify406.0ms (3.3%)

Memory
28.1MiB live, 784.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 178×accelerator-lowering-fma.f32
14 178×accelerator-lowering-fma.f64
4 444×+-lowering-+.f64
4 444×+-lowering-+.f32
4 356×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02722666
18402666
222912646
347552519
085242329
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ z x)
(+ y (/ z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 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)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
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(+ z (* x y))
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(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
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z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
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(* x y)
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(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
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(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
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(/ 1 (* x y))
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(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x)))))
(* 6 (/ x y))
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(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) y)
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) y)
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(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
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(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
(/ 1 (* x (sin y)))
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(/ 1 (* x (sin y)))
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(/ 1 (* x (sin y)))
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(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
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(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(*.f64 z (cos.f64 y))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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z
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(+ z (* y (+ x (* -1/2 (* y z)))))
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(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(* x (+ (sin y) (/ (* z (cos y)) x)))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sin y)
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(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
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(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
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(/.f64 (*.f64 z (cos.f64 y)) x)
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(fma.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
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(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
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(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
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(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
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(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ (* z (cos y)) x)
(/.f64 (*.f64 z (cos.f64 y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(sin y)
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(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
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(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
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(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 y (*.f64 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)
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(cos y)
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(cos y)
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(cos y)
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(cos y)
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(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
z
(+ z (* x y))
(fma.f64 y x z)
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(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(*.f64 y x)
(* y (+ x (/ z y)))
(fma.f64 y x z)
(* y (+ x (/ z y)))
(fma.f64 y x z)
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(fma.f64 y x z)
(* x y)
(*.f64 y x)
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z
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(* x y)
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(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(neg.f64 (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval137.0ms (1.1%)

Memory
6.8MiB live, 311.3MiB allocated
Compiler

Compiled 18 103 to 2 173 computations (88% saved)

prune335.0ms (2.7%)

Memory
-6.2MiB live, 409.3MiB allocated
Pruning

51 alts after pruning (44 fresh and 7 done)

PrunedKeptTotal
New1 067271 094
Fresh131730
Picked325
Done156
Total1 084511 135
Accuracy
100.0%
Counts
1 135 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
✓99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
77.6%
(fma.f64 (sin.f64 y) x z)
✓99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
38.0%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
✓51.2%
(fma.f64 y x z)
65.8%
(/.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
55.9%
(/.f64 (fma.f64 x x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
30.9%
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
54.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)))
61.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
13.9%
(/.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
2.6%
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) #s(literal 6 binary64))) y)
40.0%
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
54.7%
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) x)) (fma.f64 (/.f64 (cos.f64 y) x) (neg.f64 z) (sin.f64 y)))
14.4%
(/.f64 y (/.f64 #s(literal 1 binary64) x))
39.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))
18.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (*.f64 y (neg.f64 x))))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
39.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
14.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) y))
✓39.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
14.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
61.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (neg.f64 z)))
3.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) y))
3.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))
37.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
45.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z x) #s(literal -1 binary64)))) z)))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
14.1%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
39.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)))
49.7%
(+.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) z)
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
18.3%
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
22.5%
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
30.8%
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
18.3%
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
61.0%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
3.0%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
61.4%
(*.f64 z (cos.f64 y))
14.3%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
14.3%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x))
14.3%
(*.f64 y (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))
55.9%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) y))
90.1%
(*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)))
14.3%
(*.f64 x (fma.f64 y (*.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))) y))
78.0%
(*.f64 x (/.f64 (fma.f64 (sin.f64 y) (/.f64 x (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (cos.f64 y))))))
35.9%
(*.f64 x (/.f64 z x))
✓40.0%
(*.f64 x (sin.f64 y))
✓14.4%
(*.f64 x y)
3.3%
(*.f64 #s(literal 6 binary64) (/.f64 x y))
✓40.3%
z
Compiler

Compiled 2 416 to 848 computations (64.9% saved)

regimes185.0ms (1.5%)

Memory
-12.5MiB live, 216.3MiB allocated
Counts
91 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 #s(literal 6 binary64) (/.f64 x y))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) z)
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) #s(literal 6 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 x (fma.f64 y (*.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))) y))
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) y))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z x) #s(literal -1 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (*.f64 y (neg.f64 x))))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) y))
(/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(*.f64 x (/.f64 (fma.f64 (sin.f64 y) (/.f64 x (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (fma.f64 x x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(/.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (/.f64 z (cos.f64 y)))) z) (neg.f64 z)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) x)) (fma.f64 (/.f64 (cos.f64 y) x) (neg.f64 z) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.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 z (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 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 x x)) (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))))
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y))))))) (neg.f64 z)))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

61.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
50.0ms
x
32.0ms
z
26.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes219.0ms (1.8%)

Memory
1.2MiB live, 165.5MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 #s(literal 6 binary64) (/.f64 x y))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) z)
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) #s(literal 6 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 x (fma.f64 y (*.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))) y))
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) y))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z x) #s(literal -1 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (*.f64 y (neg.f64 x))))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) y))
(/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)))
Outputs
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Calls

4 calls:

103.0ms
x
50.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
46.0ms
z
17.0ms
y
Results
AccuracySegmentsBranch
90.1%3x
77.6%1y
88.0%3z
77.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes303.0ms (2.5%)

Memory
8.3MiB live, 130.8MiB allocated
Counts
47 → 4
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 #s(literal 6 binary64) (/.f64 x y))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) z)
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) #s(literal 6 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 x (fma.f64 y (*.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))) y))
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) y))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z x) #s(literal -1 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (*.f64 y (neg.f64 x))))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (sin.f64 y))
Calls

4 calls:

98.0ms
x
96.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
93.0ms
y
13.0ms
z
Results
AccuracySegmentsBranch
77.3%4y
61.4%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
75.4%3z
73.5%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.1%)

Memory
12.4MiB live, 51.4MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 #s(literal 6 binary64) (/.f64 x y))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) z)
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) #s(literal 6 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 x (fma.f64 y (*.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))) y))
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) y))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z x) #s(literal -1 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (*.f64 y (neg.f64 x))))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(*.f64 x (sin.f64 y))
Calls

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
75.5%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes59.0ms (0.5%)

Memory
-35.0MiB live, 165.3MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 #s(literal 6 binary64) (/.f64 x y))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) z)
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 y (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) y)) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) #s(literal 6 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 x (fma.f64 y (*.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))) y))
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) y))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) y))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z x) #s(literal -1 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (*.f64 y (neg.f64 x))))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
Outputs
(fma.f64 y x z)
Calls

4 calls:

14.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
z
13.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
51.2%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
51.2%1x
51.2%1z
51.2%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
z
(*.f64 x y)
Outputs
z
(*.f64 x y)
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
42.2%2x
40.3%1y
43.5%3z
40.3%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
40.3%1y
40.3%1z
40.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.3%)

Memory
-9.1MiB live, 109.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
5.670075967112853e-171
3.2444898633998123e-152
16.0ms
-1.8393238389854132e-25
-5.183180975134574e-29
Samples
26.0ms288×0valid
Compiler

Compiled 321 to 230 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 7.0ms (37.1% of total)
ival-cos: 5.0ms (26.5% of total)
ival-mult: 5.0ms (26.5% of total)
ival-add: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
-20.8MiB live, 106.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6.7674022074934685e-15
3.629122962428671
15.0ms
-1.6144481600971452
-9.355658582700149e-8
16.0ms
-6.925301870551592e+210
-1.0170704074806718e+210
Samples
34.0ms400×0valid
Compiler

Compiled 510 to 352 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 12.0ms (50.5% of total)
ival-cos: 5.0ms (21% of total)
ival-mult: 5.0ms (21% of total)
ival-add: 2.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
6.1MiB live, 86.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.7674022074934685e-15
3.629122962428671
21.0ms
-267767574912676.5
-50578990.9455719
Samples
25.0ms304×0valid
Compiler

Compiled 452 to 299 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (35.3% of total)
ival-cos: 5.0ms (29.4% of total)
ival-mult: 4.0ms (23.5% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
-2.0MiB live, 37.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.701156731274607e+187
6.0928869987835345e+196
Samples
12.0ms144×0valid
Compiler

Compiled 123 to 95 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 3.0ms (39.7% of total)
ival-cos: 2.0ms (26.5% of total)
ival-mult: 2.0ms (26.5% of total)
ival-add: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
-15.0MiB live, 23.8MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
4×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04296
15496
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -2676089423823675/5575186299632655785383929568162090376495104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 5189198334129619/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 y #s(literal -3800000000000000277825152296368439770241406235675979266160502972876227204503612837126380958546658168136920614398850998762726306080999235697480782513608202683669361890062548219875373539958477033696159624243183616 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -1080863910568919/72057594037927936 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1261007895663739/36028797018963968 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -52000000 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3112888062438487/576460752303423488 binary64)) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z)) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal 450000000000000024737054371654105172527573420322801695981372308039965700371413213377631864769426138378203334999312967785134578259847224760473385362285730761688091140060789781104727786036133888 binary64)) z (*.f64 x y))
z
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -2676089423823675/5575186299632655785383929568162090376495104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 5189198334129619/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -2676089423823675/5575186299632655785383929568162090376495104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 5189198334129619/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 y #s(literal -3800000000000000277825152296368439770241406235675979266160502972876227204503612837126380958546658168136920614398850998762726306080999235697480782513608202683669361890062548219875373539958477033696159624243183616 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -1080863910568919/72057594037927936 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1261007895663739/36028797018963968 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -3800000000000000277825152296368439770241406235675979266160502972876227204503612837126380958546658168136920614398850998762726306080999235697480782513608202683669361890062548219875373539958477033696159624243183616 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -1080863910568919/72057594037927936 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 y #s(literal 1261007895663739/36028797018963968 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -52000000 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3112888062438487/576460752303423488 binary64)) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z)) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal 450000000000000024737054371654105172527573420322801695981372308039965700371413213377631864769426138378203334999312967785134578259847224760473385362285730761688091140060789781104727786036133888 binary64)) z (*.f64 x y))
(if (<=.f64 x #s(literal 450000000000000024737054371654105172527573420322801695981372308039965700371413213377631864769426138378203334999312967785134578259847224760473385362285730761688091140060789781104727786036133888 binary64)) z (*.f64 y x))
z

soundness1.3s (10.9%)

Memory
25.7MiB live, 1 071.8MiB allocated
Rules
12 858×accelerator-lowering-fma.f32
12 858×accelerator-lowering-fma.f64
11 256×accelerator-lowering-fma.f32
11 256×accelerator-lowering-fma.f64
8 584×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032149
1180147
21350147
08116136
09347633
133497388
081197028
027117
1162107
21246107
08420102
0821
12421
218021
3185321
0821320
07136070
123705940
082915594
0109682
1344678
2991668
32652662
44669662
56964662
08196606
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 260 to 142 computations (45.4% saved)

preprocess190.0ms (1.5%)

Memory
-10.2MiB live, 107.6MiB allocated
Compiler

Compiled 236 to 100 computations (57.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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